1 Introduction

The last few decades have been marked by rising globalization and competition, together with particularly adverse events, such as the financial crisis in 2009, the economic recession and, more recently, the COVID-19 pandemic. Such an uncertain scenario has reinforced the need to understand how and to what extent companies react to unexpected events and changes in their performance (e.g., Iwasaki et al., 2022; Islam & Fatema, 2023; Ng et al., 2022).

An extensive line of research, pioneered by the early contributions of Henrich R. Greve (2003), has postulated and empirically shown that companies often implement various organizational and strategic adjustments in response to a performance that falls below (or above) the management’s aspiration level, namely, to negative or positive performance feedback. This literature includes a number of studies co-authored by Greve (e.g., Ben-Oz & Greve, 2015; Gaba & Greve, 2019; Greve, 2011; Rowley et al., 2017; Vissa et al., 2010), as well as several other studies addressing various forms of strategic and organizational change, such as innovation/R&D investment (e.g., Lu & Fang, 2013; Rhee et al., 2019; Wang et al., 2021; Chen & Li, 2021; He et al., 2021; Saemundsson et al., 2022) and internationalization (e.g., Jiang & Holburn, 2018; Kaleka & Morgan, 2019; Li et al., 2018; Lin, 2014; McCormick & Fernhaber, 2018; Wennberg & Holmquist, 2008; Zhong et al., 2022).

Despite its theoretical relevance and potential empirical application, this broad literature presents some limitations. First, it focuses on very specific types of strategic behaviour, mainly R&D investments and internationalization, which reflect the companies’ reaction to adverse situations in important but very definite and narrow areas. Little is known, instead, on how firms adjust their whole distinctive set of resources and strategies after a major event, i.e., how they innovate their business model (BM). Business models and business model innovation (BMI) have been receiving growing attention and acknowledgement in the fields of economics, management, strategy and entrepreneurship as they are widely recognized as relevant determinants of competitive advantage and firm performance (e.g., Anwar, 2018; Chen et al., 2021; Chesbrough, 2010; Latifi et al., 2021; Saqib & Satar, 2021; Teece, 2010; Waldner et al., 2015; Wannakrairoj & Velu, 2021; Zott & Amit, 2007; Zott et al., 2011),Footnote 1 as well as a source of post-crisis firm survival (Cucculelli & Peruzzi, 2020; El-Haddad & Zaki, 2023).

Second, this body of literature has mostly employed accounting indicators of firm performance, such as the Return on Assets (ROA) or sales growth, to model the trigger of change, thus largely neglecting the role played by other more rigorous measures of the firm’s actual competitive position in the market. In this regard, corporate market power, i.e., the ability of the company to set the price above the marginal cost, has long been recognized as one of the most consistent and revealing measures of the company’s status in competitive markets. However, despite even being mentioned in the introduction of Greve’s (2003) seminal studyFootnote 2 on performance feedback, the use of market power has been almost inexistent so far, primarily because of the difficulties regarding its computation. Third, even though the literature has acknowledged the crucial role of corporate governance in shaping the link between performance feedback and strategic change (e.g., Blagoeva et al., 2020; Chen et al., 2022; Lv et al., 2019), evidence on the impact of the firm ownership and management on the above-mentioned relationship is still very scant. The lack of information on this relevant aspect can represent a major limitation, especially in those economic settings where executives play a very critical role—as family firms—in shaping the company’s strategic profile and driving its adaptation process after a major event.

Our paper aims to address these gaps by examining the impact of markup-driven performance feedback on business model innovation (BMI) when different types of governance and heterogeneous levels of family involvement are at play. To this end, we proceed in the following sequential steps. First, to model the “trigger” of the decision to reshape and adapt the business model of the firm, we use the changes in corporate markup, which we estimate through the methodology developed by De Loecker and Warzynski (2012). The estimated markup captures the ratio between the price applied by a firm and its marginal cost and can be seen as a timely indicator of the firm’s competitive position in the product market. Second, to measure the innovation in the business model of the company, we use first-hand information on different forms of business model change obtained through a unique survey administered to a large sample of Italian manufacturing firms. This survey, which allows us to assess changes that occurred in key building blocks of the business model (Osterwalder & Pigneur, 2010; Osterwalder et al., 2005), is illustrated in detail in Sect. 3.1 and Appendix 1. Third, we relate the changes in the markups observed during the period 2014–2017 to the changes in the business models that took place between 2017 and 2020. In line with the performance feedback mainstream approach, we consider both the cases of a decline and an increase in corporate markups, as they may differently affect the response of companies. Specifically, companies are expected to significantly react to a contraction in the markup by renewing and reshaping their organizational and business profile, as they try to reduce the risk of exiting the market; conversely, a minor or null reaction is likely to be observed after a positive markup performance. Finally, as different degrees of family involvement are potentially associated with different responses to the same triggering event (Bennedsen et al., 2010; Block et al., 2013; Laffranchini et al., 2022; Migliori et al., 2020), we explore whether the heterogeneity in the family involvement (Barbera et al., 2022) does affect the intensity and the direction of business model changes prompted by external events.

The presence of family members in the ownership and/or management of a company is widespread across countries and has significant implications for corporate goals, behaviour and performance (see, for instance, the reviews conducted by Azila-Gbettor et al., 2018; Heino et al., 2019; Hansen & Block, 2020; Fries et al., 2021; Gupta & Chauhan, 2023). Following a well-established body of literature (e.g., Allen & Panian, 1982; Daily & Dollinger, 1993; Gómez-Mejía et al., 2003; Le Breton-Miller et al., 2015), we divide family-related businesses into two categories: “family firms”, i.e., those companies in which a family holds the majority of the ownership shares and two or more family members are also members of the Board of Directors (BoD); and “low-involvement family firms”, namely, those companies in which the ownership criterium is fulfilled, but with less than two family members involved in the management of the company, i.e., without a significant family involvement in the company governance. As the former family business typically exhibits a relatively high degree of stewardship (Block & Ulrich, 2023), we expect these family firms to be the most responsive ones in the face of triggering events. Specifically, we assume that family firms are not only more reactive to negative feedback and, in particular, more likely to change their BM in response to adverse conditions, but also more proactive than other (low-involvement) family firms even in case of positive feedback, i.e., when performance is above the expected levels. Under these circumstances, an increase in market power may potentially attenuate the risk-averse nature of the family governance and induce them to engage in BMI, which usually implies significant efforts, costs, and risks.

We test our hypotheses on a sample of Italian manufacturing firms surveyed between September 2019 and March 2020. The dataset includes survey data on several business features that have been retrieved from questionnaire-based interviews on key informants and summarizes major aspects of the firm’s business model and its changes. Survey data have been matched with financial data from Bureau van Dijk. In the empirical model, we use the changes in individual markups observed between 2017 and 2014 as the main identification variable for business model innovation. We also include the level of the firm’s markup in 2014 to control for trend-reverting factors that can affect firm competitiveness, as well as the 3-digit sectoral markup to account for the influence of conformity and/or emulative behaviour of firms within their industrial setting.

Our evidence provides a comprehensive framework for the analysis of firms’ responses to performance feedback and sheds light on the complex scenario in which family firms, i.e., the most frequent type of governance in the global economy, actually operate. To preview our results, we find that, as expected, companies react to contractions in the markup by performing more BMI and respond to markup increases by making less BMI. These findings are rather consistent with the extant literature on performance feedback, even when traditional triggers (i.e., financial indicators) and narrowly defined strategic responses (R&D and/or internationalization) are considered.

However, when we delve into the role of family involvement, we obtain a significantly different and more nuanced picture. Specifically, we observe that the conservative behaviour that prevails after positive feedback is mostly driven by family businesses with low involvement in the management, whereas high-involvement family firms are considerably more proactive than non-family firms. Moreover, and more interestingly, these family firms are more proactive even after a performance improvement, as these firms invest significantly in reshaping their product and organizational areas. In other words, high involvement in the management, i.e., high stewardship, boosts the probability of observing changes in the business model even after an increase in market power, a result that shows how stewardship-driven family firms are willing to fill the gaps in their business profile by taking advantage of the resources and assets generated by past good performance. Overall, and in contrast to the literature that indicates family management as the main responsible for poor performance, our findings show that strong involvement can represent a major asset for family firms that are willing to transform their BM and make these firms leading players not only when faced with adverse circumstances, but also—and more interestingly—when corporate perspectives are good.

This work contributes to the extant literature in several ways. First, it provides accurate empirical evidence on a relevant but still elusive and hardly measurable concept—business model innovation—that includes all the potential responses of the company to past competitive position. In this respect, this wide-ranging type of reaction is not limited to specific strategic areas or functional activities, such as international expansion, the R&D policy or decisions concerning layoffs and capital investment but concerns the whole set of business actions prompted by past performance. Second, to the best of our knowledge, this is the first study that uses markups to model the trigger of performance feedback. Not only is this indicator based on a sound methodology but is also marginally affected by the computational bias that is typical of the most frequently used measures of accounting and financial performance; hence, the selected approach is supposed to be suitable for exploring the influence of changes in the competitive position of the firm on business models. Third, this study ties well to that composite strand of heterogeneous literature that jointly analyses market power and business models (see, for instance, Sudrajad & Hübner, 2019), but that mainly focuses on business model diversity, i.e., its static profile, rather than on business model innovation. In contrast to this literature, which does not permit drawing causal implications between triggers and outcomes, our approach allows us to identify more clearly the influence of changes in the firm’s competitive position on the decision to reshape the business model. Finally, it provides a fine-grained analysis of the antecedents of BMI in family firms by exploring the role of the intensity of family involvement in the management as a driver for the innovation of the business profile.

The balance of this paper is organized as follows. Section 2 reviews the pertinent literature; Sect. 3 presents the empirical strategy; Sect. 4 illustrates the results of the regression analysis; Sect. 5 concludes.

2 Literature review and research hypotheses

2.1 Market power and business models

Despite the growing interest in both market power and business models, the literature that addresses these two topics simultaneously is still relatively limited, quite heterogeneous and centred on few very narrowly defined sectors.

Some conceptual and qualitative studies in the field of business economics and law view market power as a component of business models or argue that the presence of a certain degree of market power is related to some peculiar types of business models, such as the data-centred business model of digital platforms (e.g., Buiten, 2021; Jarsulic, 2019; Kiesling, 2014; Klimek & Funta, 2021; Russo & Stasi, 2016; Schweizer, 2005; Wunker, 2012).

Likewise, sectoral studies on airlines, banking and the digital industry have included both business models and market power in their analysis but using the former as a part of the economic scenario and without providing any evidence on the connections between previous performance and the strategic response of the firm. Melo Filho et al. (2014) assess how increases in wage premiums affect market power and performance in two well-defined types of business model in the airline industry, namely Full-Service Carriers (FSC) and Low-Fare Carriers (LFC). The authors show that the latter are associated with different average levels of market power and that the markups are more affected by the impact of changes in wage premiums in the FSCs compared to the LFCs. Marques and Alves (2021) examine the impact of the diversity of business models operating in the banking sector on bank resilience, also accounting for the link between market power (proxied by the Lerner Index) and business model diversity. Similarly, Sudrajad and Hübner (2019) investigate the effect of bank market power on bank business models (as well as the impact of bank business models on banking stability and performance) in six ASEAN countries by focusing on business model diversity, rather than on business model innovation, and analyzing a type of business model which is proxied by a well-defined and easily measurable variable, i.e., the non-interest and non-deposit short-term funding share income. In a similar vein, Huynh and Dang (2021) conducted a quantitative analysis that accounts for both business models and market power in the banking sector of an ASEAN country (Vietnam) to assess how market power (proxied by the bank-level Lerner index) and business models moderate the relationship between two other variables, i.e., loan portfolio diversification and bank returns.

Finally, two recent OECD reports that address the dynamics of market concentration and markups in the specific field of digital technologies and digitalization hint at a link between market power and business models. Bajgar et al. (2019) present a framework for measuring the digital transformation of manufacturing industries and map the impact of digital technologies across several dimensions, including industry concentration and corporate markups (which are estimated at the firm level drawing upon De Loecker & Warzynski’s methodology)Footnote 3; Bajgar et al. (2021) document rising industry concentration (measured at the industry level through an array of indicators, including the firm-level markups of top firms) across the majority of countries and sectors over the period 2002–2014, and show that this trend is strongly associated with intensive investment in intangibles. In this latter contribution, the authors posit that intangibles are an increasingly important part of leading firms’ business models, thus suggesting that there is a positive relationship between business model innovation and change in markups.

To sum up, the extant literature hints at some association between business models and market power; however, the few studies that quantitatively scrutinize the aforementioned link consider very specific sectors; moreover, the two variables under scrutiny are mainly assessed in levels and the direction of causality is mixed, making it difficult to derive some robust and clear-cut conclusions. Accordingly, we aim to make a step forward in the appraisal of the nexus between market power and business model innovation by exploring their causative connection through the performance feedback approach.

2.2 Performance feedback and business model innovation

The main conceptual framework on which our study rests is that of Performance Feedback Theory, which in turn builds upon the behavioural theory of the firm (BTOF). After the publication of the seminal book by Cyert and March in 1963, the BTOF has become the central tenet for explaining search and change as a response to performance feedback in the organizational context (Sobrepere i Profitos et al., 2022). An outgrowth of Cyert and March’s theory is the theory of performance feedback developed by Greve (1998, 2003). According to Greve, organizations learn from their experience by collecting performance measures and create aspiration levels (i.e., performance standards) based on their past performance (“historical aspiration”) and/or that of other organizations (“social aspiration”). If firm performance differs from the aspiration level, the firm will probably modify some of its organizational activities and strategic choices.

Since the publication of Greve’s seminal book (“Organizational Learning from Performance Feedback: a Behavioural Perspective on Innovation and Change”; Greve, 2003) and other subsequent studies authored or co-authored by Greve (e.g., Ben-Oz & Greve, 2015; Gaba & Greve, 2019; Greve, 2008, 2011; Rowley et al., 2017; Vissa et al., 2010), a noticeable bulk of empirical research has resorted to Performance Feedback Theory to explain firms’ organizational and strategic change. Examples of the selected strategic variables are as follows: the identification of partnerships and alliances (e.g., Baum et al., 2005; Han, 2022; Martínez-Noya & García-Canal, 2021; Shipilov et al., 2011), internationalization (e.g., Wennberg & Holmquist, 2008; Lin, 2014; McCormick & Fernhaber, 2018; Jiang & Holburn, 2018; Li et al., 2018; Kaleka & Morgan, 2019; Xie et al., 2019; Fletcher et al., 2021; Ref et al., 2021; García-García et al., 2022; Zhong et al., 2022), corporate venture capital (Wan et al., 2022) and technological innovation and R&D investments (e.g., Chen, 2008; Lu & Fang, 2013; Rhee et al., 2019; Lv et al., 2019; Jirásek, 2020; Wang et al., 2021; Chen & Li, 2021; He et al., 2021; Chung & Shin, 2021; Jirásek, 2021; Qi & Wu, 2022; Chen et al., 2022; Saemundsson et al., 2022).

The relationship between performance feedback and corporate strategic response may take different functional forms. However, most scholars identify a negative monotonic relationship, i.e., an increase (decrease) in the number of organizational changes when firm performance is below (above) the aspiration level. Intuitively, if firm performance is lower than the aspiration level, namely if performance feedback is negative, firms are typically motivated to make strategic and organizational decisions that may imply significant risks and costs, but which may benefit the company’s performance in the coming years. Conversely, if performance is above the aspiration level, namely, if performance feedback is positive, firms can be discouraged to undertake costly and risky actions, and then can be more inclined to organizational inertia.

As this is a well-established stream of empirical literature, we do not explore the issue further; rather, we intend to test whether our dataset and findings are consistent with previous empirical results, and whether Performance Feedback Theory still holds in our sample, where the trigger is measured by markup increases/decreases and the firm response is proxied by business model innovation. Accordingly, we put forward the two following basic hypotheses on how markup variations (i.e., the “trigger” event) relate to business model innovation (“the outcome”):

  • Hypothesis 1a [H1a]: There is a positive association between negative performance feedback (a markup decrease) and BMI;

  • Hypothesis 1b [H1b]: There is a negative association between positive performance feedback (a markup increase) and BMI.

2.3 Performance feedback and the role of family involvement

Several scholars have shown that the link between performance feedback and strategic/organizational change can be significantly shaped by external or internal factors. Examples of external factors—mostly analyzed within the line of research on innovation/R&D decisions—are the level of government environmental regulation and subsidy (Chen & Li, 2021), or “communitarianism”, i.e., the degree to which group goals are considered more important than individual goals (Ploeg et al., 2022). As for the internal factors, scholars have stressed the impact of variables such as the firm risk profile (Madadian &Van den Broeke, 2022), organizational slack (Wang et al., 2021) and business strategy (Madadian & Van den Broeke, 2022), among the others.

Within this stream of research, a growing literature (e.g., Blagoeva et al., 2020; Chen et al., 2022; He et al., 2021; Sun & Qiu, 2022) has highlighted the role of internal decision-makers, such as the firm’s owners, the CEO, the board of directors or the (top) management team, on firm behaviour. Specifically, recent systematic reviews and meta-analyses (see, for instance: Azila-Gbettor et al., 2018; Heino et al., 2019; Hansen & Block, 2020; Fries et al., 2021; Gupta & Chauhan, 2023) have emphasized the role of family involvement, or the implications of corporate governance in family firms, in shaping strategic decisions, but without providing definite evidence on the topic of markup-driven strategic responses on business model innovation. This makes the influence of family governance on business model changes in response to performance feedback an issue that deserves further investigation.

A valuable contribution to this topic is made by Chrisman and Patel (2012), who show that, when performance is below aspiration levels, family goals and economic goals tend to converge and, compared to non-family enterprises, the R&D investments of family firms increase and the variability of those investments declines. However, in Chrisman and Patel’s study, performance feedback was not used as the key regressor but interacted with the variables capturing family involvement (i.e., the focal regressors). By contrast, De Massis et al. (2018) and Santulli et al. (2022) use family involvement as the key regressor and interact it with a variable capturing performance feedback. De Massis and co-authors examine family involvement and R&D expenses in what they view as a context of weak property rights protection, i.e., China, demonstrating that reported R&D expenditure rise with family involvement in nonstate-owned listed family firms due to severe Type II agency problems. In addition, they show that negative performance feedback does not affect the R&D behaviour of Chinese family firms and assert that this is likely to be related to the Chinese peculiar context, in which the pursuit of socioemotional wealth by family firms is relatively low due to uncertain property rights. Santulli et al. (2022) aim to contribute to the debate on the family involvement-performance relationship by considering the mediating role of the propensity towards merger and acquisition (M&A) and the moderating role of performance feedback; they find evidence that a higher percentage of family managers is positively related to the propensity towards M&A and, in turn, exerts a positive effect of firm performance, especially when performance feedback is negative.

More related to our approach are the contributions by Lv et al. (2019) and Qi and Wu (2022), who explore the role of performance feedback on R&D and innovation and then assess how this link is influenced by family involvement. Specifically, Lv and co-authors look at the impact of both consistent and inconsistent negative feedback on R&D intensity and also examine how inconsistent feedback is shaped by family control (defined as family involvement in ownership and management). The authors show that the negative impact of inconsistent negative feedback on R&D investment is stronger in family enterprises; however, they do not test whether family control affects the role of consistent performance feedback (which is found to have a positive impact on R&D investments). Likewise, Qi and Wu (2022) analyze the link between performance feedback and innovative activities within family firms, also across multiple stages of intergenerational succession, but they do not compare family firms with non-family firms.

Family businesses are generally dissimilar to non-family businesses in several respects. To explain that, scholars have largely resorted to the stewardship theory, according to which households, who have invested a significant portion of their wealth in the enterprise, care not only about firm survival and performance, but also about a set of non-economic aspects, such as identity, the ability to exercise family influence and the perpetuation of the family dynasty, which meet the family’s affective needs, and which form what Gómez-Mejía et al. (2007) has termed Socioemotional Wealth.

According to the stewardship theory (Davis et al., 1997), family managers should be regarded as stewards whose motives are aligned with the interests of the firm and shareholders, are long-term oriented and have both economic and non-economic incentives (Siebels and Knyphausen-Aufseβ, 2012). Consistently, several studies have shown that family firms are significantly resilient when faced with adverse events, including natural disasters, the economic crisis and the COVID-19 pandemic (e.g., Salvato et al., 2020; Kraus et al., 2020; Soluk et al., 2021; Amato et al., 2023). This resilience has been attributed to several factors such as the importance of family social capital (e.g., Arrègle et al., 2007), the close collaboration of family members aimed to keep transgenerational control and preserve the socioemotional wealth endowment (e.g., Gómez-Mejía et al., 2011; Zellweger et al., 2012), the enduring interpersonal relationships among family members sharing coherent goals (Lim et al., 2010) and the strong connections among family, firm, local community and government systems (Danes et al., 2009).

The stewardship role of family owners and managers may favour the firm’s propensity to take strategic changes and even adopt risky behaviours for several reasons: first, family members are particularly motivated to ensure the continuity of their business over time, and thus are more prone to adopting actions that prevent them from losing the control over their company. Second, stewardship encourages interactions with both the firm’s internal and external stakeholders; as a result, family businesses can find ample support from their network of relationships when they face challenges concerning the loss of competitiveness or the exploitation of new opportunities (Miller & Le Breton-Miller, 2005; Miller et al., 2008; Salvato et al., 2010; Block & Ulrich, 2023); likewise, some scholars have shown that, during crisis periods, family businesses benefit from easier access to external capital due to their close relationship with banks (D’Aurizio et al., 2015; Block & Ulrich, 2023). Third, stewardship generally spurs organizational flexibility, as the concentration of ownership and control in the same individuals provides family businesses with more power and flexibility which, in turn, facilitates the implementation of strategic changes. Finally, stewards’ pro-organizational attitude reduces the likelihood of observing opportunistic behaviours by some family members. In this regard, it should be noted that family owners and/or managers may be motivated by self-interest, and then pursue personal gain through their enterprise (Le Breton-Miller & Miller, 2009; Le Breton-Miller et al., 2011; Schulze et al., 2003); nonetheless, recent studies have shown that dealing with external shocks, such as the economic crisis and COVID-19 (Block & Ulrich, 2023) or, more in general, with turbulent environments (Chirico & Bau, 2014) can prevent family members from engaging in opportunistic behaviours, and prompt them, instead, to act as stewards of their business. This is consistent with previous work (e.g., Aragon-Correa & Sharma, 2003; Lumpkin & Dess, 2001; Zahra et al., 2008) reporting that stewardship fosters proactiveness, especially in turbulent environments.

It is worth recalling that there may exist relevant heterogeneity not only between family and non-family firms but also within the vast and composite realm of family companies. In this respect, some scholars argue that the differences between family firms are even greater than those between family and non-family firms (e.g., Bennedsen et al., 2010; Chrisman & Patel, 2012; Daspit et al., 2021), and can also concern the degree of stewardship. Following the mainstream literature on the definition of family firms, we expect stewardship to be significant when at least two family members are part of the board of directors, a condition which is satisfied by the mainstream definition of “family firm” proposed by the literature (see, for instance: Allen & Panian, 1982; Daily & Dollinger, 1993; Gómez-Mejía et al., 2003) and adopted in our work. Notably, to account for differences between family firms, in our empirical analysis we assess also whether family firms differ, in terms of their BMI response to markup changes, not only from non-family firms but also from companies that fit a milder definition of family firm and that we term “low-involvement family firms.” These companies are likely to present lower levels of stewardship and are expected to be more prone to inertia when faced with negative markup changes or, even more, with positive markup changes. The considerations above prompt the following research hypotheses:

  • Hypothesis 2a [H2a]: Family firms, i.e., firms with high involvement of family members, are more likely to innovate their business model than non-family and low-involvement family firms in response to negative markup changes;

  • Hypothesis 2b [H2b]: Family firms are more likely to innovate their business model than non-family and low-involvement family firms in response to positive markup changes.

3 Analytical framework

3.1 Data and main variables

The majority of the extant literature on business model innovation has resorted to case studies or has focused on narrowly defined sectors, for which large records of data (based, for instance, on private documents, interviews, corporate reports, specialized press and other direct sources) are usually available. However, information on this important variable is not available for most of the firms operating in the small-business sector. With the partial exception of company accounts, publicly available data sources typically do not allow us to uncover either the profile of the business model, or its main changes, and interviews often represent the only feasible option. In light of these considerations, for the purpose of our analysis, we build a dataset by merging two complementary sources: a cross-sectional survey dataset, based on information collected directly from companies using questionnaire-based interviews, and a longitudinal dataset based on Moody’s—Bureau van Dijk data on company accounts.

The first dataset collects firm-level information from a survey that we administered between October 2019 and February 2020 to a sample of Italian manufacturing firms. We conceived this survey with the main goal of shedding light on relevant business aspects that are often hardly assessable due to limited data availability, such as the firm’s position in the value chain, business links with clients and suppliers, technological and environmental innovation, investment policy and other aspects, including business model innovation. A compact overview of the survey, including information on sample selection and data collection, can be found in Appendix 1.

Regarding business model innovation, which is the main dependent variable of our empirical model, the survey aims at understanding whether and to what extent a company has recently undertaken changes in four main areas that are viewed as central for exploring alternative business models by a large and well-established empirical literature (Al-Debei & Avison, 2010; Johnson et al., 2008; Ramdani et al., 2019). Specifically, we consider the following areas: the Product and Production Processes area, which includes changes in the elements associated with the firm’s value proposition, i.e., the value produced and offered to customers; the Organization area, which summarizes changes associated with the firm’s organizational structure, such as human capital and business processes used to create and deliver value to customers; the Network area, which refers to the number, the role and the nature of the relationship with external actors (e.g., customers or suppliers) involved in the business model of the firm, and which also affects the value capture process; the Finance area, which considers changes in elements related to the firm’s value appropriability strategy, such as price-setting mechanisms and value-capture revenue models. A detailed illustration of the four areas and the items included in each section is presented and discussed in Appendix 1.

For each of these four areas, a set of six to eight questions was put forward with the purpose of extracting information on the presence or absence of significant changes that occurred in the 3-year time interval ending at the beginning of 2020. To give an example, in the Products and Production Processes area, we asked questions such as: “Has the firm introduced any new product?”, or “Has the firm added ancillary or complementary services to the firm’s main products?”, or “Has the firm introduced a more efficient production process?”. Similarly, in the Organization area, we investigated, among the other things, whether the company has introduced new business functions or whether it has strengthened its array of technical and commercial skills by hiring new workers and/or training current employees. Likewise, in the Network area, we explored whether the company has internalized upstream or downstream activities that were previously carried out by other players of the supply chain, or whether it has modified or added direct or indirect sales channels. Finally, in the Finance area, we asked questions concerning the pricing policy, the adoption of niche product market strategy, and other related variables. The complete list of 28 questions, clustered into the four selected BMI areas, is reported in Appendix 1.

To construct the variables capturing the various dimensions of BMI, we counted and added up all the changes indicated by the firm in each of the four areas. In particular, we computed the variable BMI_Products by counting all the answers that identify a change in the products and process profile of the company. Similarly, BMI_Organization measures the changes related to the firm’s internal organization; BMI_Network lists the adjustments in the business network and commercial relationships of the firm, while BMI_Finance captures the number of variations observed in the business finance activities. Finally, by adding up the four above-mentioned variables (i.e., BMI_Products, BMI_Finance BMI_Organization and BMI_Network), we built the variable BMI_Overall as a proxy for the extent of the firm’s overall business model innovation. More details on these variables are provided in Sect. 3.4.

The second data source that we employ in our empirical analysis is the database Moody’s Aida—Bureau van Dijk, from which we retrieved financial and economic data for the company (for the years 2012–2020) on revenues, labour costs, the number of employees, capital stock, intermediate inputs, sectoral affiliation and date of incorporation. We resort to this information to estimate, for all the years between 2012 and 2020, firm-level markups, which we merge later with the survey-based dataset. Finally, we exploit the corporate governance section of Aida—Bureau van Dijk to gather information on firms’ managers and owners, which we use to group the sample firms into three categories, i.e., family firms, low-involvement family firms and non-family firms. Because of the intense data cleaning required by the estimation of markups, the number of observations that form our final sample is considerably lower than the number of surveyed companies included in the original dataset.

3.2 Estimation of corporate markups

We estimate the parameter of corporate markup drawing upon De Loecker and Warzynski’s (2012) methodology. This approach assumes that firms minimize costs and at least one input (materials) is adjusted freely, while the other factors (capital and labour) may show frictions in their adjustment. Unlike previous contributions, this framework requires neither assumptions on demand and how firms compete, nor the computation of the user cost of capital, and provides firm-level, time-varying estimates while controlling for unobserved productivity.

By combining the optimal input demand conditions obtained from cost minimization with the standard definition of markup (i.e., price over marginal cost), De Loecker and Warzynski (2012) show that the price–cost margin can be identified as the ratio of the output elasticity of materials and the material revenue share:

$${\mu }_{it} = \frac{{\theta }_{it}^{M}}{{\alpha }_{it}^{M}},$$
(1)

where \({\mu }_{it}\) is the markup of firm i at time t, \({\theta }_{it}^{M}\) is the output elasticity of materials and \({\alpha }_{it}^{M}\) is the revenue share of materials, also known as cost share or expenditure share of materials. If \({\mu }_{it}=\) 1, the firm operates in a product market characterized by perfect competition; if \({\mu }_{it}>\) 1, there is imperfect competition in the product market and the firm owns some degree of market power, namely, it charges a price that is higher than the marginal cost.

While the revenue share can be easily computed using data from firms’ balance sheets, the output elasticity needs to be estimated. Therefore, we estimate a production function by employing the methodology developed by Wooldridge (2009) and implemented in Petrin and Levinsohn (2012). We adopt a translog specification, which yields firm-level time-varying output elasticities and perform estimations sector by sector at a very disaggregated sectoral level (at the Ateco six-digit level) to account for differences in technology. Additional details on this estimation procedure are provided in Appendix 2.

3.3 Main regressors and empirical model

Once the corporate markups are estimated, we need to build an empirical setting which permits us to appraise how markup-related relative performance influences the firm propensity to innovate its business model. To avoid the overlap between the performance measurement period and the observed changes in the business model, we compute individual markups at the beginning of the period of analysis, i.e., 2014–2017, a choice which should also attenuate simultaneity issues in the regression analysis and helps in providing a causal interpretation of the results. Then, we define a “relative markup”, namely, the difference between the firm i’s markup and the sectoral median markup (defined at the Ateco/Nace Rev.2 six digit-level), μi net t = μitμsect t, to control for systematic inter-sectoral differences in markup levels and trends attributable to sectoral specificities. Following the performance feedback approach, the net markup can be regarded as an indicator of the competitors’ performance, on which the firm’s social aspiration level is generally based. Likewise, according to this literature, firm behaviour is also determined by historical aspirations, which build on the company’s own past performance. Consequently, we decompose the variable μi net t to account for both social and historical aspirations and rewrite the relative markup as:

$${\mu }_{i\;net\;t}={\mu }_{it}-{\mu }_{it-n}+{\mu }_{it-n}-{\mu }_{sect}={\mu }_{it-n}-{\mu }_{sect\;t}+\Delta {\mu }_{t-n/t}$$
(2)

Equation (2) describes the net individual markup as the sum of three terms: the initial level of firm markup (μit-n), the sectoral markup (μsect t), and the change in the individual markup between the initial and the final period (Δμ t-n/t). Setting the initial and the final years of analysis at 2014 and 2017 in Eq. (2), we get:

$${\mu }_{inet2017}={\mu }_{i2014}-{\mu }_{sect2017}+\Delta {\mu }_{i2014-2017}$$
(3)

Equation (3) splits the individual relative markup into three terms: μi2014, namely the firm’s markup in 2014, which represents the benchmark for the firm’s expectations about its markup performance; μsect2017, which is the median sectoral markup in 2017 and proxies for the competitive structure of the sector; Δμi2014–2017, which measures the change in the firm’s markup that occurred between 2014 and 2017 and that provides the main regressor for the empirical model. As the deviation of the current level of markup from the initial level provides feedback to corporate decision-makers for the selection of future strategies, we focus our attention on Δμi2014–2017. Moreover, by applying a procedure that, since Greve (1998), has been extensively adopted within the literature on performance feedback, we introduce a spline function and divide the variable Δμi2014–2017 in negative and positive changes as follows: Δμi neg2014–2017, which is equal to Δμi2014–2017 when the latter is negative and zero otherwise, and Δμi pos2014–2017, which is equal to Δμi2014–2017 when the latter is positive and zero otherwise.

Finally, to assess how markups and markup changes are related to business model innovation, we perform various sets of regressions based on the following model:

$$\begin{array}{l}BM{I}_{i2017-2020}={\beta }_{0}+{\beta }_{1}\Delta {\mu }_{i\;neg\;2014-2017}+{\beta }_{2}\Delta {\mu }_{i\;pos\;2014-2017}+{\beta }_{3}{\mu }_{sect2017}+{\beta }_{4}{\mu }_{i2014}+\\ +{\beta }_{5}{X}_{i}+{\beta }_{6i}GO{V}_{k}+{\beta }_{7i}GO{V}_{k}*\Delta {\mu }_{i\;pos/neg2014-2017}+{f}_{j}+{e}_{i},\end{array}$$
(4)

where BMIi,t-n is a count variable capturing the extent of business model innovation undertaken between 2017 and 2020, Δμi neg2014–2017, Δμi pos2014–2017, μsect2017 and μi2014 are the previously discussed regressors based on the markup, Xi is a set of firm-level controls, which include the number of employees and firm age, GOVk is the set of dummies capturing the k firm types based on the extent of family involvement in the governance (i.e., non-family firms, family firms and low-involvement family firms), fj is a vector of sectoral fixed effects, and ei is the unobserved error term. To investigate how the link between markup changes and BMI is shaped by the governance variable, we augment Eq. (4) by interacting the two variables capturing markup changes with the governance-related dummies, using non-family firms as the reference category.

As for the estimation method, we perform the regression analysis using both the OLS and the Poisson pseudo maximum likelihood estimators, which produce very similar results. In the next section, we present only the estimates based on the Poisson model, which also accounts for the count nature of the dependent variable.

3.4 Basic descriptive statistics

Table 1 summarizes the basic summary statistics of the selected variables. We can observe that the average firm size is relatively small, which is consistent with a distinctive trait of the Italian economy, namely, the prevalence of small and medium-sized enterprises (SMEs). As for the governance variables, about 80% of the sampled firms are classified as family firms (with either a low or a high involvement in the governance), thus confirming the prevalence of family businesses at the country level also in the sample. Regarding BMI, between 2017 and 2020, sample firms have introduced on average seven BMI changes out of a total of 28 potential changes (i.e., 25.0% of all the potential changes). The mean number of changes for each business area is around 2.0 for BMI_Products (34.4%), 2.1 for BMI_Organization (30.3%), and around 1.5 for both BMI_Network (18.7%) and BMI_Finance (29.8%). As for the markups, the average markup in 2017 was 1.21, which is slightly higher than the mean markup in 2014; also, about 36% (64%) of the companies experienced a decrease (rise) in the markup during the 3 years under scrutiny. This evidence is in line with other studies that use a much larger sample of Italian manufacturing companies (e.g., Ciapanna et al., 2022; Mondolo, 2022).

Table 1 Summary statistics of the variables of interest

Figure 1 displays the distribution of the variable BMI_overall (mean values) by firm type and across the three tertiles of the variable Δμi2014–2017. In line with our first two hypotheses (H1a and H1b), we observe that the number of BMIs is higher in the first tertile (when performance is relatively poor) and decreases as performance improves. It is interesting to note that family firms are the only ones in which BMI exhibits higher values in the extreme tertiles compared to the central one. Hence, it seems that family firms are more active in business model innovation when performance is either relatively bad or good.

Fig. 1
figure 1

Distribution of total BMI by markup performance and firm type. Sources: authors’ elaboration from survey data

Differences between firm types also occur across the four business areas in which changes were implemented, as illustrated in Fig. 2. For example, we can see that, in the first tertile, family firms display the highest BMI value in the organizational area, whereas non-family enterprises exhibit the highest value in the product area. Finally, in the bottom tertile, family firms are more proactive in all areas.

Fig. 2
figure 2

Distribution of BMI in the four BM areas by markup performance and firm type. Sources: authors’ elaboration from survey data

These descriptive statistics reveal that, as markup performance shifts, the intensity of BMI varies, and that firm governance influences this relationship. In the next section, we move from univariate to multivariate analysis to test these dynamics.

4 Regression analysis

4.1 Changes in the overall business model

We start to explore the link between markup performance and BMI by estimating Eq. (4) for the overall changes in the business model. The results of the Poisson estimates that use BMI_overall as the dependent variable are presented in Table 2. Looking at Model 1 (the baseline model), we can posit that, consistent with our hypotheses (H1a and H1b), a contraction in the markup is associated with more subsequent BMI, whereas an increase in the markup significantly discourages firms to invest further resources in BMI (Model 1).

Table 2 Determinants of business model innovation, Poisson estimates—dept. variable: BMI

Model 2 introduces the interactions between markup performance and types of firm governance to evaluate whether the reactions to markup changes vary with the extent of family involvement. In the case of negative markup performance, we do not observe any statistically significant difference between non-family firms and the two types of family firms. This suggests that family firms are not more reactive than the other two types of firms under scrutiny to negative markup changes and, therefore, hypothesis 2a is not supported. Conversely, in the case of positive performance, family firms show a positive coefficient that outweighs the negative coefficient associated with non-family firms. The p-values reported in Table 3 for the interaction between positive markup changes and low-involvement family firms and family firms, respectively, confirm the hypothesis that the amount of BMI associated with each of these interaction terms is significantly different from the amount of BMI associated with the interaction between positive markup changes and non-family firms (i.e., the reference category). In addition, the Wald χ2-test (not shown) rejects the hypothesis of coefficient equality between Positive markup change * low-involvement family firm and Positive markup change * family firm (χ2 = 6.85, p = 0.0009): this confirms that family firms are more proactive than the other two firm types when it comes to innovating their business model in case of positive performance feedback, a result that supports hypothesis 2b.

Table 3 Determinants of BMI by BM area. Poisson estimates—dept. variable: BMI

Figure 3 illustrates, for each firm type, the marginal effects for underperforming (Panel a) and outperforming firms (Panel b) on BMI at the extremes of the distribution, i.e., at the fifth (Low) and ninety-fifth (High) percentiles. Panel a shows that, as negative performance feedback widens, the marginal effect increases for all firm types; by contrast, as positive performance feedback amplifies (Panel b), the marginal effect increases only for family firms, whereas it decreases for the remaining two types of firms.

Fig. 3
figure 3

Marginal effects of firm types on business model innovation at different levels of negative and positive markup changes. Sources: authors’ elaboration from survey data and data from Moody’s—AIDA Bureau Van Dijk

Regarding the control variables, the positive and significant coefficient of the sectoral markup (Sectoral_Markup) can be attributed to the relative importance of behavioural adaptations across phases of the industry life cycle: growing industries (those with a high level of markup) are expected to exhibit a higher intensity of innovation activities (also in terms of business model), whereas mature industries tend to have on average a lower business model innovation intensity. When it comes to the initial markup conditions, the negative and significant coefficient of the variable Markup_level confirms the expected result that firms with a higher level of initial markup show a lower intensity of business model change.

Finally, we observe that the dummy variables family firms and low-involvement family firms are not significant. This suggests that, in contrast with the mainstream literature emphasizing that family firms engage in less innovative activities than non-family firms, both family firms and low-involvement family firms are not significantly different from non-family firms (our baseline category) in the intensity of business model innovation. Accordingly, it seems that mild or strong family involvement (vs absence of family involvement) is not a determinant of business model innovation per se (i.e., regardless of past performance).

4.2 Changes in specific areas of the business model

The findings reported in Sect. 4.1 refer to the overall change in business models. As a further step, we assess whether the relationship between firm types and the intensity of BMI varies across the four business model areas. To this purpose, we perform Poisson estimates of Eq. (4) for each of the four areas of business model innovation. The results are shown in Table 3.

Even though, from Model 2 of Table 2, it emerges that the three types of firms do not respond differently to negative performance in terms of intensity in overall BMI, Table 3 shows substantial differences across the business areas in which BM changes took place. The three main results of this more disaggregated analysis, when performance feedback is negative, are as follows. First, non-family firms react more to negative events by intensifying changes in the product and finance areas (see Models 3 and 6), whereas their behaviour does not significantly differ from family businesses in the other two areas. This is probably due to the superior ability of non-family firms to manage product and process innovation (see Table 1), as well as their capacity to manage the company’s pricing policies, its distributive channels and the selection of niche and mass markets. Second, family firms exhibit a significant reaction to negative performance feedback in the organizational and network areas. As for organizational BMI, previous research (e.g., Bloom & Van Reenen, 2007) shows that family enterprises, particularly those run by family members, are often poorly managed, and our findings suggest that the implementation of more efficient management practices and the improvement of the company’s organizational profile can be viewed as efficient responses to negative markup performance. Likewise, the strengthening of network-related aspects may be seen as the exploitation of the superior ability of family businesses to leverage solid family bonds with external stakeholders (such as suppliers or local banks) and, more generally, to resort to family stewardship when performance is poor. Finally, the negative and significant coefficient of business model innovation in the financial area displayed by low-involvement family firms (Model 6); this suggests that, unlike non-family and family businesses, these companies are not willing, or able, to update their financial profile (e.g., pricing policies, distribution channels, market selection and other aspects) in response to negative markup performance.

When we move to the case of positive markup variations, we realize that the reaction to past performance is even more heterogeneous across the three types of governance under scrutiny. First, non-family firms—as well as low-involvement family firms—respond to positive feedback by reducing their extent of innovation in the product and network areas, thus embracing strategic inertia: in other words, it seems that good past performance induces these firms to slow down the pace of their innovation intensity and focus on routine activities, or perhaps increase profitability. Second, in contrast and interestingly, family firms are found to be significantly more proactive than non-family firms after positive performance, especially in the areas of product and organization. These results suggest that higher-than-expected market performance in family firms may mitigate family firms’ traditional resistance to riskier long-term investments and relax the constraints due to survival concerns. Accordingly, it may prompt these companies to change their business models, and in particular to invest in the areas where they often underperform. By freeing up resources and new assets, better market performance mitigates family firms’ traditional resistance to riskier long-term investments and relaxes constraints due to survival concerns: this makes family firms more likely to invest in BMI to improve their product and organizational profile and to pursue the desire to explore new opportunities in higher-value products, new industries, or new geographic markets.

All in all, we can posit that business model innovation is more complex and intense in family firms compared to non-family and low-involvement family firms. Family firms are considerably more proactive to both positive and negative markup performance. Also, family firms respond to performance changes by pursuing a range of business model innovations, including the improvement of weak functional areas in case of negative performance, the leveraging of their superior relational capabilities after positive feedback (through innovation in the networking area), or the strengthening of the organizational profile regardless of the sign of past performance.

4.3 Robustness checks

The regression results of Table 3 reveal that low-involvement family firms are less proactive than family firms. To further delve into this issue, we check whether this finding is mainly attributable to young companies (which often take the form of funder-run companies) or to mature companies. In particular, young firms may be less prone to BMI because their business model is relatively new and is supposed to already match the current market conditions. In addition, these firms are unlikely to have undergone previous crises, and thus they may find it particularly hard to deal with unexpected negative events. To conduct this robustness check, we perform additional sub-sample estimates of the determinants of BMIs in which we split the group of low-involvement family firms into young and non-young firms using a cut-off value of 10 years (calculated in 2017). We choose this value because it has been demonstrated that approximately two-thirds of companies exit the market after about 10 years (Coad et al., 2018), and those that survive longer are regarded as companies endowed with a sustainable business model. The results of these estimates (not shown here but available upon request) confirm that the proactiveness of family firms compared to low-involvement family firms does not depend on firm age.

Additionally, from Tables 2 and 3, it emerges that both family firms and low-involvement family firms are not significantly different from non-family firms (our baseline category) in the intensity of business model innovation. To ensure that there is no sample selection bias, we check whether the propensity for R&D activities differs across firm types. According to the findings reported in Table 4, family firms and low-involvement family firms engage in fewer R&D activities than non-family firms (Estrin et al., 2022; Patel & Chrisman, 2014), but not in less business model innovation. Thus, we can safely assume that our results are not influenced by sample selection bias and that BMI and R&D activities do not completely overlap.

Table 4 Determinants of BMI and R&D

Table 4 indicates that family firms’ lower propensity to invest in intangible assets is not associated with lower BM innovation, suggesting that family and non-family firms likely differ in terms of organizational capabilities. Since these capabilities are generally influenced by the specific firm and industry context, we conduct further analysis to determine whether firm- and industry-level characteristics, i.e., firm size, sectoral capital intensity, and sectoral technology content, influence the relationship between markup performance and BMI in family and non-family firms.Footnote 4

Concerning the first question, i.e., firm size, we conduct two subsample estimations using the median number of employees in the firm in 2007 (i.e., 20 employees) as the cutoff point. As for the second question, i.e., capital intensity, we tested whether the behaviour of family firms varies across sectors with different capital intensity. To this end, we run regressions for two subsamples whose capital intensity—proxied by the ratio of total assets to sales in 2017—is lower (“Light sectors”) and higher (“Heavy sectors”) than the median value, respectively.Footnote 5 Finally, following the EUROSTAT classification of high-technology manufacturing sectors (EUROSTAT, 2022), we distinguish between firms operating in low/medium technology sectors and firms operating in medium/high technology sectors and run additional regressions for these two subsamples.

The results are presented in Table 5, where we also report the regression coefficients of Model 2 to facilitate comparisons with the main results. Focusing on firm size (columns 1–2), we see that (relatively) large family firms, that is, those with more than 20 employees, are more proactive than non-family firms when the markup change is positive. Thus, larger family businesses are more proactive in responding to positive performance feedback when they need to address problems and shortcomings associated with increases in business size. In contrast, no significant differences are found for smaller businesses. When we break down industries by capital intensity (columns 3–4), we find that family firms are more proactive only in capital-intensive sectors. This can be explained by the fact that investments in capital-intensive sectors are larger and generally require more financial capital than in sectors with low capital intensity. Since firms often rely on external finance to invest and support innovation programs, good past performance resulting from an increase in market power may play a greater role in gaining additional resources in capital-intensive sectors, an aspect which mitigates the general reluctance of family firms to seek external finance. Finally, when we consider firms in low-tech and high-tech sectors separately (columns 5–6), we find that only family firms operating in low-tech sectors are significantly more proactive than non-family firms. In this case, the difference in behaviour of family firms may be explained by the difference in profitability between the two sectors. Since low-technology sectors tend to have lower levels of profitability, a good past performance may represent a unique opportunity for companies in low-profitability sectors to recoup the invested fundsFootnote 6; this aspect can be particularly relevant for family businesses, as they generally prefer to rely on internal resources and thus see the positive financial impact produced by better market power as an opportunity to invest in BMI.

Table 5 Determinants of Business Model Innovation by class size and industry type, Poisson estimates—dept. variable: BMI

5 Conclusions

Businesses operate in a rapidly changing and challenging environment and, in recent years, have also experienced some particularly harsh negative shocks, such as the economic recession and the COVID-19 pandemic. Such a complex and uncertain scenario has reinforced the need to understand exactly how and to what extent organizations respond to undesirable and/or unforeseen events that may impact organizational behaviour and performance. A useful framework for evaluating the strategic and organizational changes that companies make in this context is provided by Performance Feedback Theory. Such a theory has been extensively used in the literature, which, so far, has mostly relied on accounting measures of firm performance (e.g., return on equity) to proxy for the trigger, and on indicators of very specific strategies (e.g., R&D investment and internationalisation) to model behavioural change.

Our study differs from and contributes to previous research in the following ways. First, it considers a significant form of change that has been neglected in the performance feedback literature, namely, business model innovation, and measures it using detailed information on business models that is collected through a unique survey. Second, unlike previous studies, it resorts to an accurate indicator of market power, i.e., the markup, as a proxy for the trigger. Third, it sheds light on the differences in the response to markup changes that exist not only between family firms and non-family firms, but also between two different types of family business, namely high-involvement family firms, which in this paper are simply referred to as family firms and which are expected to exhibit a relatively high degree of stewardship and, thus, to respond proactively to change, and family businesses with a low involvement of family members in management decisions and operations.

The regression analysis shows that, on average, firms react to negative markup changes by performing more BMI (especially in products and processes), while respond to positive markup changes with less BMI. However, it turns out that the latter result is driven by family companies with low involvement, whereas family firms respond significantly more to negative markup changes than other family businesses and even non-family firms in some business areas. Moreover, and most importantly, family firms respond with more BMI not only to negative changes but also to markup increases, thus proving to be very proactive. Hence, it appears that these companies use their market power as a lever to address their inherent weaknesses and undertake risky business model innovations, the costs and risks of which are likely to be partially mitigated by a stronger position in the product market. These considerations particularly hold for relatively large family firms and for family firms operating in low-tech and capital-intensive sectors.

This study extends our knowledge of the drivers of business model innovation and expands the set of variables that can be used as triggers for strategic change within the performance feedback framework. It also shows that the use of multiple BMI indicators related to different business areas allows us to obtain a more accurate and comprehensive picture of this important but elusive object, namely the business model. In addition, it highlights the importance of also considering the heterogeneity between companies that belong to a particular category—in this case, the broad group of family businesses.

As far as family involvement is concerned, we offer a positive picture of family businesses run by at least two family members, namely, those that fulfil the common definition of family firms. Interestingly, it seems these companies see markup increases as an incentive for strategic change that can benefit not only the business itself but also its internal and external stakeholders and the overall economy. This should alleviate policymakers’ concerns about the potentially negative welfare effects of markup increases, especially when they are particularly severe or widespread, and/or when the initial markup level is already high. Accordingly, policymakers should be motivated to provide adequate support to virtuous family firms, which account for a significant share of the economy in several countries around the world, including Italy. Moreover, our results also highlight the leading role of very dynamic and proactive family firms in reorganizing and reactivating their value chains after a major downturn. The less reassuring findings concerning low-involvement family firms suggest that their family owners/managers should strengthen the company’s resources, competencies and network, which in turn can help them make risky but potentially effective and successful strategic decisions when faced with positive or negative changes.

This work presents some limitations which can be hardly addressed in our empirical context. First, our dataset covers a relatively small number of firms, even though it is meant to be representative of the universe of SMEs operating in the Italian manufacturing sector. Moreover, the data on business model innovation are self-reported and are inevitably affected by a certain degree of subjectivity. More direct and unbiased measures of business model change should be used and compared to our survey-based proxies of business model innovation. Finally, a more fine-grained breakdown based on the ownership and management structure of the firm might be useful to better relate governance factors to firm-level responses and changes. Nonetheless, this study may provide a useful starting point for future research, which could, for example, use a larger sample, a different geographic area, a different and/or longer time frame, and/or examine other forms of strategic and business change.