1 Introduction

Conventional labor supply theory in economic literature assumes that people allocate hours worked and leisure to maximize utility (Killingsworth and Heckman 1986; Pencavel 1986; Blundell and Macurdy 1999). However, many people feel weary or exhausted by too much work or too many hours of work. For example, Galinsky et al. (2005) reported that 44% of US workers often or very often feel overworked. A report by the Trades Union Congress (2015) stated that the number of UK employees working more than 48 h per week has increased by 15% since 2010 and warned that working such excessive hours greatly increases the risk of harming peoples’ health. The Japanese government’s Ministry of Health, Labour and Welfare (2016) interviewed 11,010 Japanese male regular employees and found that more than 55% felt either a high or an extremely high degree of fatigue. If, according to standard labor supply theory, people rationally allocate hours of work and leisure to maximize utility, it is difficult to explain why people work to the extent of damaging their health. In this study, overwork is defined as a state in which workers allocate long hours to work, leading to detrimental impacts on their mental health. Through econometric approaches, we examine the mechanism of overwork and how it affects people’s mental health.

Past studies have not confirmed a significant correlation between long work hours and mental health. The results by van der Hurst (2003) showed that 27 empirical studies conducted by epidemiologists regarding the relationship between long work hours and health did not reach a consistent conclusion. The inconclusive results may be due to the lack of control for potential confounders. For example, Virtanen et al. (2011, 2012) examined longitudinal data of British workers and through follow-up studies found that long work hours and the resulting stress may lead to depression and anxiety symptoms.Footnote 1

However, many previous studies conducted by economists have not necessarily reported a negative relation between long work hours and job satisfaction or happiness.Footnote 2 Clark and Oswald (1996) and Clark (1997) found a negative but weak correlation between work hours and job satisfaction. Pouwels et al. (2008) found that longer working hours significantly reduced the level of happiness in men but not in women. Using panel data of citizens from East Germany and West Germany, Van Praag et al. (2003) found that working hours had a non-significant influence on job satisfaction among West Germans but had a positive relationship for East Germans.

Given the mixed results in the previous literature, this study examines the factors, such as nonpecuniary utility, that influence people to allocate long hours to overwork in order to maximize nonconventional personal utility, which may result in detrimental impacts on their mental health. More specifically, it explores the idea that people maximize personal utility, which comprises not only consumption (= work hours) and leisure but also nonpecuniary rewards from work, such as self-realization, self-affirmation, and the satisfaction derived from feeling needed (Elster 1986; Derks et al. 2009; Thoresen et al. 2003).

We hypothesize that people recognize their mental health deterioration when they work long hours; however, they simultaneously tend to overvalue job satisfaction from nonpecuniary factors that arise with hours worked. People may have nonstandard or incorrect beliefs regarding overwork that may have a negative effect on mental health, and they may overestimate the utility obtained from non-pecuniary factors or underestimate the disutility of working long hours (DellaVigna 2009). The source of these nonstandard beliefs may be overconfidence and/or projection bias (Schaefer et al. 2004; Loewenstein et al. 2003). This hypothesis suggests that workers may choose to overwork and neglect the harmful impact of mental health. The results by Schaefer et al. (2004) indicate that extraversion is significantly related to overconfidence. Thus, we investigated what types of workers are likely to hold nonstandard beliefs and work extreme hours.Footnote 3 We discuss these explanatory mechanisms and test our hypotheses using longitudinal survey data from Japanese white-collar workers and examine the relationships among hours worked, job satisfaction, and mental health.

2 Theoretical Background and Empirical Specifications

2.1 Theoretical Background

We discuss the nature of utility maximization presented in the model proposed by Rätzel (2012), who incorporates nonpecuniary utility into the standard neoclassical utility function. Rätzel (2012) assumes that work generates both labor disutility and nonpecuniary utility from confirmatory feelings, such as job security, belonging, or social status. Under this assumption, the conventional neoclassical utility function, \(V^{n} = U\left( {C,F} \right)\), where C denotes consumption and F denotes leisure, is modified as follows:

$$\begin{aligned} {\text{V}} & = U\left( {C,F} \right) + N\left( L \right), \\ & \quad U_{C} > 0, U_{F} > 0,N_{L} > 0, U_{cc} < 0, U_{FF} < 0, N_{LL} < 0. \\ \end{aligned}$$
(1)

\(N\left( L \right)\) denotes nonpecuniary utility of work, and L denotes working hours, defined as the difference between available hours T and leisure F (\(L = T - F\)).

This utility function indicates that an additional hour worked generates marginal disutility (\(U_{L}\) < 0) and marginal utility (\(N_{L} > 0\)). Therefore, utility maximizers supply longer working hours given the market wage and budget constraints since they incur less marginal disutility compared to the case without nonpecuniary utility. Rätzel (2012) used the German Socio-Economic Panel and confirmed an empirical relationship between life satisfaction and working hours, which implies a positive nonpecuniary utility of work in Eq. (1). In addition, he indicated that well-being can be represented as an inverse U-shaped curve along which life satisfaction rises with shorter working hours but declines as working hours extend.Footnote 4

We extend Rätzel’s (2012) utility function in two ways such that long work hours result in greater nonpecuniary utility for workers. Furthermore, some workers may irrationally work extremely long hours despite potential impairment to their mental health.

First, unlike Rätzel (2012), who investigated the well-being of employees with fewer working hours, we focus on workers who hold full-time jobs. The nonpecuniary utility of work \(N\left( L \right)\) for these workers includes self-realization, self-affirmation, or satisfaction from feeling needed, which is obtained by having responsibility for important or difficult work and the achievement of work that requires great effort. Under such circumstances, nonpecuniary utility rises as employees are assigned to important work or spend long hours accomplishing assigned tasks. In this case, the nonpecuniary utility of work for full-time workers can be illustrated by the half-U-shaped relationship with working hours in Fig. 1.Footnote 5 With reference to the first term of the Eq. (1), \(U\left( {C,F} \right)\), we assume that with a constant consumption level, rising fatigue and declining leisure reduce workers’ utility \(U\left( {F|C} \right)\) as hours worked extend (Fig. 2). To describe the relationship with hours worked, we interpret the decline in mental health as the disutility arising from one additional hour of work. Thus, Fig. 2 illustrates that working longer hours is associated with declining mental health.

Fig. 1
figure 1

The relationship between hours worked and nonpecuniary utility derived from work

Fig. 2
figure 2

The relationship between hours worked and utility with consumption fixed

Additionally, to allow for the possibility that full-time workers can irrationally choose to overwork despite damaging their mental health, we assume that total utility is a weighted average of standard utility \([U\left( {C,F} \right)]\) and nonpecuniary utility of work \([N\left( L \right)],\) as formulated in Eq. (2).

$$V = \pi U\left( {C,F} \right) + \left( {1 - \pi } \right)N\left( L \right),\quad 0 < \pi < 1,$$
(2)

where \((1 - \pi\)) denotes a subjective weight to value nonpecuniary utility from work. In the context of our research, \(\pi\) denotes a subjective belief about the risks to mental health from working more hours. Since an additional work hour increases both disutility (risk of mental distress) and nonpecuniary utility, total utility depends on how workers evaluate the risks to their mental health.

We believe that workers underestimate their mental health risk \((\pi < \pi^{*} )\), where \(\pi^{*}\) denotes the optimal weight they are assigned to a balanced evaluation of disutility and utility of labor. As long as workers’ beliefs are optimal \(\left( {\pi = \pi^{*} } \right)\), long working hours do not erode mental health. However, if workers underestimate the risk (\(\pi < \pi^{*}\)) and overvalue nonpecuniary utility from work, they choose to work excessive hours and potentially endanger their mental health. Hence, this model explains how overworking can threaten mental health.

It is possible that being overconfident or having projection bias may cause people to hold subjective and erroneous beliefs about mental health risks (\(\pi < \pi^{*}\)). DellaVigna (2009) highlighted an overconfidence effect as a typical cause of incorrect beliefs. As confirmed in psychology, this effect is a cognitive bias in which people tend to think in certain ways that can lead to systematic deviations from the norm or rationality in judgment.Footnote 6 Extensive survey and laboratory evidence has established that people are likely to consider their abilities better than average due to unrealistic optimism or miscalibration. At the same time, overconfident individuals hold below-average assessments of negative outcomes, such as health problems. Weinstein (1980, 1982, 1987) indicated that people systematically underestimate the probability of experiencing health problems due to unrealistic optimism. Sandroni and Squintani (2004) found strong evidence that people often underestimate the risks of attendant activities that they believe are within their control (e.g., driving or financial planning) or that reflect their self-image (e.g., health). According to these studies, it is reasonable to believe that workers who overestimate their abilities and health may suffer the mental health risks associated with overwork and form beliefs characterized by \(\pi < \pi^{*}\).

People may hold systematically incorrect beliefs due to projection bias, in which people project the degree to which their future will resemble their current status (DellaVigna 2009). In our case, workers mistakenly assume that their sound mental health will persist and that they are immune to the deleterious effects of working long hours. Given the utility function (2) and findings in psychology and behavioral economics, we assume that some workers willingly overwork and may develop mental disorders.

2.2 Empirical Specification

We investigate the empirical implications derived from our model incorporating nonpecuniary utility from work and subjective weightings. We assume that the total utility in Eq. (2) is unobservable, and we assume that nonpecuniary utility from work \([N\left( L \right)\)] can be proxied by an index for job satisfaction from being promoted. Nonpecuniary utility increases if full-time workers attain senior positions after extensive effort and hours worked. Thus, we expect that their job satisfaction rises with hours worked. To confirm this relation, we estimate the following equation using panel data:

$$JS_{it} = \alpha_{0} + \alpha_{1} L_{it} + \alpha_{2} L_{it}^{2} + \varvec{X}_{it} {\varvec{\upgamma}} + f_{i} + \varepsilon_{it} ,$$
(3)

where \(JS_{it}\) denotes an index for the job satisfaction of worker i in year t, \(L_{it}\) denotes the number of hours worked, \(\varvec{X}_{it}\) denotes a vector of control variables, \(f_{i}\) denotes a time-invariant individual worker’s heterogeneity, and \(\varepsilon_{it}\) denotes an error component. We expect \(\alpha_{1} > 0\) and \(\alpha_{2} > 0\) for the coefficients of work hour variables since longer hours worked accelerate rising satisfaction, as the half-U-shaped relation indicates.

We also assume that disutility from work in the standard utility function with constant consumption \(U\left( {T - L|C} \right)\) can be proxied by an index for workers’ mental health. We therefore estimate the equation

$$MH_{it} = \beta_{0} + \beta_{1} L_{it} + \beta_{2} C_{it} + {\mathbf{X}}_{it} {\varvec{\updelta}} + f_{i} + v_{it} ,$$
(4)

where \(MH_{it}\) denotes an index for the mental health of worker i in year t, \(L_{it}\) denotes the number of hours worked, \(C_{it}\) denotes consumption, \(\varvec{X}_{it}\) denotes a vector of control variables, \(f_{i}\) denotes a time-invariant individual worker’s heterogeneity, and \(v_{it}\) denotes an error component. We expect \(\beta_{1} < 0\) since working long hours generates disutility.

As mentioned in Footnote 3, a gap between workers’ desired and actual hours worked may occur if actual work hours are not set optimally and solely by workers but are rather set by factors such as contracts with employers, government regulations, or family matters. Thus, we control for these possibilities by adding deviation terms between desired and actual hours worked in Eqs. (3) and (4) and estimate the following Eqs. (5) and (6):

$$JS_{it} = \alpha_{0} + \alpha_{1} L_{it} + \alpha_{2} L_{it}^{2} + \alpha_{3} OE_{it} + \alpha_{4} UE_{it} + \varvec{X}_{it} {\varvec{\upgamma}} + f_{i} + \varepsilon_{it} ,$$
(5)
$$MH_{it} = \beta_{0} + \beta_{1} L_{it} + \beta_{2} C_{it} + \beta_{3} OE_{it} + \beta_{4} UE_{it} + {\mathbf{X}}_{it} {\varvec{\updelta}} + f_{i} + v_{it} ,$$
(6)

where \(OE_{it}\) and \(UE_{it}\) denote overemployment (actual hours worked exceed desired hours) and underemployment (actual hours are fewer than desired).

As indicated by the theoretical model, workers who are likely to hold incorrect beliefs tend to work longer hours. To investigate this theory, we estimate the following equation:

$$L_{i} = a_{0} + \varvec{P}_{\varvec{i}} \varvec{a}_{1} + \varvec{X}_{\varvec{i}} {\varvec{\upgamma}} + \varepsilon_{i} ,$$
(7)

where \(L_{i}\) denotes the number of hours worked (log term), \(\varvec{P}_{i}\) denotes a vector of personality traits, \(\varvec{X}_{i}\) denotes a vector of control variables, and \(\varepsilon_{i}\) denotes the error term.

Equations (5) and (6) are estimated on the basis of the longitudinal data that enable us to account for the time-invariant individual-specific factors, \(f_{i}\), such as personality, habit, and genetic factors. These individual-specific factors are often correlated with other covariates in general and thus produce inconsistent estimates via ordinary least squares. Therefore, in each estimation, we conduct the Hausman test with the null hypothesis that time-invariant individual-specific factors are independent of other covariates. Furthermore, we report the estimation results from either a fixed- or random-effect model, depending on the results of the Hausman test. The control for individual-specific heterogeneity based on the longitudinal data is one of the advantages of the methodology for this study.

Conversely, Eq. (7) is estimated on the basis of cross-sectional data since information on personality traits is only available in the latest wave of the longitudinal survey. However, the data used come from the employer–employee matched survey, which allows us to identify each worker’s firm. Thus, we can control firm-invariant individual-specific factors, such as long-hour workplace practices, firms’ policies for human capital investment, and corporate culture. Therefore, we estimate Eq. (7) both as a group effect model and as a simple linear model.

3 Method

3.1 Participants and Procedure

We employ the Survey of Companies and Employees on Human Capital Development and Work-Life Balance, an original survey conducted by the research project at the Research Institute of Economy, Trade, and Industry.Footnote 7 Both authors of this study were members of the project and engaged in designing the survey and the content of the questionnaires. The survey is an employer-employee matched panel survey conducted via postal mail with questionnaires for the human resource departments of firms with more than 100 employees and the employees who work at these firms.Footnote 8 The first wave was initiated in February 2012 and repeated at the same time each year from 2013 to 2015, resulting in a total of four waves.

In 2012, each firm was randomly selected from the registration data held by the Ministry of Economy, Trade, and Industry of the Japanese government. The human resource department of each firm was asked to choose at least five white-collar regular employees to participate in the employee survey. Both firms and employees were asked to complete and return questionnaires (by post). For this wave, information became available on 719 of 5677 firms (representing a response rate of 12.7%) and 4439 matched employees. For the second wave, questionnaires were mailed directly to the firms and employees surveyed in 2012. In the second and fourth waves, newly sampled firms were added and asked to choose at least five white-collar regular employees to be surveyed.Footnote 9 Since information regarding job satisfaction and the deviation between actual and desired hours worked was only available in the third and fourth waves, we only used data collected in those years (2014 and 2015). The total sample size was 4392 workers.

A firm-level survey response rate of 12.7% is not unusual in Japan considering that this study was not a mandatory official survey but an original survey with many questions that was conducted by a policy think tank for academic purposes. For example, a similar firm survey used in Yamamoto and Matsuura (2014) exhibited a 17.4% response rate. To examine potential selection bias emanating from the low response rate, we explored the representativeness of our sample by comparing key variables, such as average work hours, sex, academic background, marital status, and industry composition, from our employee survey with those of Japanese-government official statistics, specifically the Labour Force Survey (conducted by the Ministry of Internal Affairs and Communications). As indicated in Footnote 11, our sample largely reflects the general population of Japanese white-collar regular workers.

3.2 Measurement

3.2.1 Job Satisfaction

The measure of job satisfaction is used widely in longitudinal data, such as the British Household Panel Survey and the German Social-Economic Panel (Clark and Oswald 1996; Clark 1997; Pouwels et al. 2008; Van Praag et al. 2003). Job satisfaction is represented by only one question, “How satisfied are you with job promotion?” as a proxy variable for job satisfaction. Respondents are asked to choose 1 (very unsatisfied), 2 (moderately unsatisfied), 3 (neither satisfied nor dissatisfied), 4 (moderately satisfied), or 5 (very satisfied).

3.2.2 Mental Health

To measure employees’ mental health, we used the General Health Questionnaire (GHQ). The GHQ includes the GHQ-60, GHQ-28 and GHQ-12 (Goldberg 1972) and has been translated into several languages and used worldwide for decades. We used the abbreviated version, the GHQ-12, which includes 12 items. Respondents were asked to characterize their feelings over the past few weeks from four choices, “not at all,” “no more than usual,” “rather more than usual,” and “much more than usual,” in response to the following questions. The psychometric properties of the GHQ-12 have been studied in various populations (Barbosa et al. 2010; Petkovska et al. 2015; Kashyap and Singh 2017).

Question: Have you recently…

  1. 1.

    been able to concentrate on whatever you’re doing?

  2. 2.

    lost much sleep over worry?

  3. 3.

    felt that you were playing a useful part in things?

  4. 4.

    felt capable of making decisions about things?

  5. 5.

    felt constantly under strain?

  6. 6.

    felt you couldn’t overcome your difficulties?

  7. 7.

    been able to enjoy your normal day-to-day activities?

  8. 8.

    been able to face up to problems?

  9. 9.

    been feeling unhappy or depressed?

  10. 10.

    been losing confidence in yourself?

  11. 11.

    been thinking of yourself as a worthless person?

  12. 12.

    been feeling reasonably happy, all things considered?

To construct an index for mental health status, we used Likert scoring (0, 1, 2, and 3 for “much more than usual,” “rather more than usual,” “no more than usual,” and “not at all,” respectively). The totals ranged from 0 to 36, with higher scores implying better mental health. Although GHQ scoringFootnote 10 is generally used in epidemiology, Banks et al. (1980) argued that Likert scoring is more appropriate for parametric analysis. Generally, a lower GHQ score indicates better mental health; however, to compare job satisfaction and the GHQ measures more easily, we inverted the GHQ measure in the present study. Therefore, lower GHQ indicates worse mental health.

3.3 Other Variables

3.3.1 The Number of Hours Worked and the Deviation Term Between Actual and Desired Hours Worked

The number of hours worked is the actual work hours per week that each respondent reported in the survey. We also included deviation terms between actual and desired hours worked considering that not everyone can choose his or her desired number of hours. To construct the deviation term between actual and desired hours worked, we asked the following questions: “Would you like to increase/decrease number of hours worked given your current wage rate?” and “If so, by how many hours?” For those whose actual hours worked did not equal their desired hours, we converted the gaps into dummy variables for overemployment and underemployment as follows:

$$\begin{aligned} {\text{Overemployment }} & = \, 1\,\,{\text{if}}\,{\text{actual}}\,{\text{hours}}\,{\text{worked}}\,{\text{per}}\,{\text{week}}\,{\text{exceed}}\,{\text{desired}}\,{\text{work}}\,{\text{hours}}\,{\text{per}}\,{\text{week}}\,{\text{and}} \\ & = \, 0\,\,{\text{otherwise}} .\\ \end{aligned}$$
$$\begin{aligned} {\text{Underemployment }} & = 1\,\,{\text{if}}\,{\text{desired}}\,{\text{work}}\,{\text{hours}}\,{\text{per}}\,{\text{week}}\,{\text{exceed}}\,{\text{actual}}\,{\text{hours}}\,{\text{worked}}\,{\text{per}}\,{\text{week}}\,{\text{and}} \\ & = \, 0\,\,{\text{otherwise}}. \\ \end{aligned}$$

We excluded “do not know” responses from the sample.

3.3.2 Control Variables

Control variables included non-labor income, age, tenure, dummy variables for marriage and having children (1 if respondents were married and had children and 0 otherwise), and dummy variables for occupation, industry, firm size, and survey year. For the consumption variable of Eq. (6), we included annual income as a proxy. We also included annual income to estimate Eq. (5) as a control variable.

3.3.3 Personality Traits

As the variable for personality, we used the “Big Five” personality traits, which comprise five factors: extraversion, neuroticism, openness to experience, conscientiousness, and agreeableness. According to the five-factor model (FFM), these five independent categories are sufficient to describe individual personality differences at the broadest level of abstraction (Costa and McCrae 1992; Goldberg 1990).

We used the Ten-Item Personality Inventory (TIPI) (Gosling et al. 2003), which was incorporated in the fourth wave of the survey. The TIPI is a 10-item questionnaire measuring five different facets of personality traits (the Big Five personality dimensions). Responses are provided on a seven-point scale from “strongly disagree” (1) to “strongly agree” (7). We calculated the average of the two bipolar items that constitute each scale (for example, questions 1 and 6 are the two items that capture extraverted personality). Higher scores indicate stronger associations with a certain personality trait.

Question: I see myself as …

  1. 1.

    extraverted, enthusiastic

  2. 2.

    critical, quarrelsome

  3. 3.

    dependable, self-disciplined

  4. 4.

    anxious, easily upset

  5. 5.

    open to new experiences, complex

  6. 6.

    reserved, quiet

  7. 7.

    sympathetic, warm

  8. 8.

    disorganized, careless

  9. 9.

    calm, emotionally stable

  10. 10.

    conventional, uncreative

4 Results

4.1 Summary Statistics

Summary statistics for the data used in the following estimation are provided in Tables 1 and 2.Footnote 11

Table 1 Mean, standard deviation, min, and max of continuous variables
Table 2 Frequency and proportion of categorical variables

4.2 Job Satisfaction and Number of Hours Worked

The estimation results of Eq. (5) investigate the effect of hours worked on job satisfaction. FE and RE in Table 3 denote the fixed-effects and random-effects models, respectively. We estimate both effects. Only models selected by the Hausman test appear in each column.

Table 3 Estimation results of the determinants of job satisfaction

Column (1) of Table 3 indicates that the coefficient of work hours is negative and statistically significant at the 1% level. This finding implies that longer work hours reduce job satisfaction. However, when adding the square term of the number of hours worked in Column (2), the coefficient of the square term is estimated to be positive and statistically significant at the 1% level, which indicates that the number of hours worked exerts nonlinear effects on job satisfaction. More specifically, the estimated coefficients of hours worked imply that workers’ job satisfaction deteriorates with an increase in the number of hours worked but increases beyond a certain number of hours worked.

Similar relations between job satisfaction and hours worked appear in Column (3) in Table 3, which includes dummies for hours worked instead of continuous variables. Job satisfaction among respondents working 40–55 h is significantly lower than among respondents working fewer than 40 h (indicated by the dummies for work hours). Differences in job satisfaction are small among respondents who work 40–55 h. The results of a t test indicate that we cannot reject the null hypothesis that the difference in the coefficients of hours worked (40–45, 45–50, and 50–55 h) are similar to each other at the 1% significance. Thus, we assume that job satisfaction is unchanged among respondents who work between 40 and 55 h.

Column (3) in Table 3 indicates that job satisfaction starts to rise from 50–55 h, and the coefficients of the dummies for 55–65 and more than 65 h worked are not statistically significant. These results indicate that job satisfaction among respondents who work more than 55 h per week is no less than that among the reference group (less than 40 h per week) and is more than that among the group that works between 40 and 55 h. It is worth noting that very long work hours (more than 55 h) are associated with higher job satisfaction because, as we hypothesized, longer work hours accelerate increased satisfaction.

For the deviation terms between actual hours worked and desired hours worked included in Eq. (5), both coefficients of overemployment and underemployment are positively significant in Column (1) in Table 3, whereas those terms become insignificant in Columns (2) and (3). The results from Columns (2) and (3) indicate that divergence between desired and actual work hours does not seem to affect the degree of job satisfaction.

4.3 Mental Health and the Number of Hours Worked

Table 4 presents the estimation results of Eq. (6), which examines the manner in which the number of hours worked affects mental health. The dependent variable is the GHQ-12 score, which represents respondents’ self-assessed mental health (a higher GHQ indicates better mental health). In all estimations, the Hausman test supports the random-effects model over the fixed-effects model.

Table 4 Estimation results of the determinants of mental health

Column (1) in Table 4 reveals that the coefficient of the number of hours worked is significantly negative at the 5% level. To determine whether similar results can be observed in Column (2) in Table 3, we incorporate both total hours worked and its squared term. However, in Column (2), both coefficients become insignificant. Unlike job satisfaction, the absence of a nonlinear relationship is evident between hours worked and mental health.

This result is confirmed in Column (3) when we use dummy variables for hours worked. Their coefficients increase in absolute terms as the number of hours worked increases. Compared to workers who work less than 40 h, the mental health scores among workers who work 55–65 h and those who work more than 65 h per week worsens by 1.6 and 2.4 points, respectively. Job satisfaction among respondents who work more than 55 h per week is no less than those who work less than 40 h per week.

These results indicate that the influence of the length of work hours is quite different between job satisfaction and mental health. More specifically, working extremely long hours exerts opposing effects on utility: an increase in nonpecuniary utility (higher job satisfaction) and a decrease in utility (deterioration of mental health).

4.4 Who Underestimates the Risks of Mental Health?

Table 5 presents the estimation results of Eq. (7), which investigates the type of worker that is likely to hold incorrect beliefs and, therefore, to work extreme hours. We use the “Big Five” personality traits to investigate this phenomenon.

Table 5 Estimation results of the determinants of hours worked

Regarding extraversionFootnote 12 as one of the five personality traits, both Columns (1) and (2) in Table 5 indicate that both coefficients are positive at 10–5% significance levels. Our results indicate that people who exhibit higher extraversion are more likely to work excessive hours and therefore to potentially endanger their mental health.

5 Discussion

This study uses longitudinal data from Japanese workers to investigate the relationship between overwork and mental health. Conventional labor supply theory assumes that people allocate consumption and leisure to maximize personal utility. However, people sometimes work excessive hours, which affects physical and/or mental health. By using a model that introduces nonpecuniary factors into the conventional utility function, we show that such nonpecuniary factors may motivate people to work long hours even if they recognize the possibility of deleterious consequences for their mental health.

Our main empirical findings reveal a nonlinear relationship between hours worked and job satisfaction (a proxy for nonpecuniary utility). In particular, this study finds that job satisfaction declines as hours worked increase, whereas it begins to rise when hours worked exceed 55 h a week. To visualize this nonlinearity between job satisfaction and hours worked, in Fig. 3, we simulate the relationship based on estimated coefficients in Column (2) in Table 3.

Fig. 3
figure 3

The estimated relationship between job satisfaction and hours worked. Note: Calculation based on estimation result obtained in Column (2) in Table 3

Figure 3 indicates that job satisfaction does not differ significantly for 40–55 h worked but increases above 55 h worked. Conversely, as we confirmed in Table 4, longer work hours worsen the mental health of workers (a proxy for disutility from working). Some studies have documented the detrimental effects of working long hours on mental health (van der Hurst 2003; Caruso 2006; Virtanen et al. 2011, 2012), whereas others, particularly in the economics literature, have suggested that no significant relationship exists between hours worked and well-being measured by job satisfaction (Clark and Oswald 1996; Clark 1997; van Praag et al. 2003; Pouwels et al. 2008). Our findings may bridge the gap created by the mixed results of previous studies. The results of this study suggest that mental health and job satisfaction related to long work hours, both broadly categorized as “well-being,” do not necessarily have similar results. A worker who insists he is highly satisfied with his job does not necessarily imply that he maintains a good mental health condition. More specifically, our results indicate that when workers emphasize their job satisfaction or underestimate the risks of mental health, they may choose to work extreme hours. This may be due to overconfidence (higher extraverted personality traits), over-satisfaction with one’s job and overestimation of the positive feelings of job promotion. Workers may choose to work extreme hours to enjoy higher job satisfaction, which could lead to a negative impact on mental health.

The fact that people are likely to hold incorrect beliefs about the risks of mental health and to work longer hours due to overconfidence and projection bias is particularly worth noting. Since these characteristics are prevalent phenomena of human nature, educational and regulatory interventions are needed. Interventions and initiatives may include education for both workers and employers that emphasizes that working extremely long hours may damage mental health and encourages decreased work hours per day, such as regulations addressed in the European Working Time Directive.

Although this study provides an explanation as to why people overwork at the risk of impairing their mental health, several limitations remain for future analysis. First, this study targeted only Japanese workers. Although overworking is not limited to Japanese employees, a relevant term, karoshi (defined in the Oxford English Dictionary as “death caused by overwork or job-related exhaustion”), exists in the Japanese language: ka (excess) + ro (labor) + shi (death). Since similar concepts are widely acknowledged in other countries (Schor 1993; Hamermesh and Slemrod 2008), the results of this study should be considered before generalizing to different populations.Footnote 13

Second, the sample used in the estimation is limited to workers who were able to answer the longitudinal survey during the different waves of the survey period, which may produce attrition biases. Based on the probit model, this study checked in advance for attrition bias in which respondents who reported impaired mental health in previous years tended to drop out of the survey. The dependent variable in the probit model was a dummy that took the value of 1 for respondents who continued to respond to the survey in the next year and 0 for respondents who dropped out of the survey. The explanatory variables included each respondent’s self-reported mental health for the previous year. The estimation results of the probit model reject the possibility that respondents who dropped out of the survey tended to suffer from impaired mental health in the previous year. Although we can confirm that the attrition bias does not seem to be severe, the possibility remains that our results are underestimated because we did not capture responses from workers who took extended sick leave or quit their jobs because of mental illness.

Third, our results indicate that divergence between desired and actual work hours does not affect job satisfaction. Our results are consistent with the findings by Wunder and Heineck (2013), suggesting that there is no relationship between time mismatch and subjective well-being. However, our results are contradictory to other findings (Wooden et al. 2009; Angrave and Charlwood 2015). Angrave and Charlwood (2015) rationalized that the difference in results may emanate from institutional differences, such as working-time regulations among countries. However, their interpretations are speculative, and the issue remains an open question. As mentioned in Wunder and Heineck (2013), the influence of working-time mismatch on well-being has remained largely unexplored (at least in the economics literature). The relationship between time mismatch and subjective well-being as well as the underlying mechanisms to explain the various results obtained in the extant literature remain for future research.

Fourth, the measure of job satisfaction used in this study is limited to “promotion” and not job satisfaction as a whole. Consequently, we checked the relation between the probability of promotion and hours worked using a random-effects probit model in which the dependent variable was 1 if respondents were promoted from the previous year and 0 otherwise. The included covariates were hours worked, individual characteristics, and dummies for occupation, industry, and year. Our results indicated that the greater the number of hours worked, the higher the probability of being promoted. This finding may imply that obtaining a promotion may prompt people to work extremely long hours. However, job satisfaction may arise not only from promotion but also from other factors, such as job characteristics or relationships with colleagues and superiors. To investigate the satisfaction of self-realization and self-affirmation, implementing additional assessments to represent “nonpecuniary utility” will be crucial for future studies. These assessments include other job satisfaction measures (Brayfield and Rothe 1951; Judge et al. 2000; Giacopelli et al. 2013) and questionnaires such as the Hoffman Vocational Self-Realization Scale (HVSRC, Hoffman and Simon 2008) and the Career Adapt-Abilities Scale (Savickas and Porfeli 2012). Determining the psychometric properties of measures and questionnaires used to assess self-realization and self-affirmation continues to be one of our future challenges.

Fifth, the results in Table 5 indicate that more extraverted people are more likely to work excessive hours. This result is consistent with the findings by Schaefer et al. (2004), which indicated that people with higher extraversion are more likely to be overconfident. More specifically, people who exhibit greater extraversion are likely to be overconfident about their health and therefore tend to work excessively without acknowledging that overwork may potentially endanger their mental health. The finding that more extraverted workers are more likely to work long hours is in contrast to the analysis of Uchida et al. (2014), who provided evidence that low levels of extraversion are associated with excessive working hours. The different results between the present study and that of Uchida et al. (2014) may be due to the number of observations.Footnote 14 Previous studies investigating the association between extraversion and the number of working hours are scarce, and extended analysis is warranted in the future.