Within this section, we mainly argue from the perspective of a private employment agency that has to weigh costs of placement efforts against expected rewards for successful placements. We start by formalizing these cost-benefit considerations with respect to possible selection effects, before deriving consequences for job match quality.
Selection into Job Placement by Different Institutions
In our selection analysis, we investigate which job seekers are successfully placed by a private vs. the public employment agency. So far, to the best of our knowledge, no theoretical model for selection into private vs. public job placement has been proposed in the literature. In the following, we therefore illustrate the decision of a private employment agency to exert effort to place an individual into a job on the basis of simple cost-benefit considerations. When making this selection decision, the private agency has two options: It can either refuse or agree to invest efforts. Only if the private agency invests efforts in placing a candidate, it may suggest that particular candidate to an employer. The employer can then decide whether to offer the suggested candidate a job or not. Therefore, the private agency’s decision to invest placement efforts is a precondition for successful private placement.
We first consider a situation without job placement vouchers. The private agency’s expected revenue πi from investing placement efforts in job seeker i is assumed to be the product of two terms: the probability pi of placing i successfully in a job and the (expected) remuneration paid by the customer firm (i.e., employer) in the case of successful placement. The remuneration is a multiple x of the employee’s subsequent monthly wage wi. Both pi and wi depend on i’s qualifications level Qi, such that \(\partial p_{i}/\partial Q_{i}> 0\) and \(\partial w_{i}/\partial Q_{i}> 0\). We use the term ‘qualifications’ in a broad sense, covering anything that positively affects an individual’s employability or human capital.
The private agency’s expected revenue from investing placement efforts in i can then be written as:
$$E[\pi _{i}\left(Q_{i}\right)]=p_{i}\left(Q_{i}\right)\cdot w_{i}\left(Q_{i}\right)\cdot x$$
(1)
We further define C as the costs of investing placement efforts and assume for simplicity that C is fixed. These costs occur independently of whether placement efforts result in a successful placement or not. Then, the private agency makes its selection decision based on the following calculus:
$$E[\pi _{i}(Q_{i})]\geq C$$
(2)
That is, only if its expected outcome from investing effort into placing job seeker i surpasses or equals its incurred costs does it invest placement efforts in job seeker i. In our model, this is the supply condition for private placement efforts.
Moreover, \(\partial \pi _{i}/\partial Q_{i}> 0\) holds, since job seekers with higher values of Q are more likely to be successfully placed and to earn higher wages after being placed into a job. Consequently, a threshold level denoted as \(\overline{Q}\) exists, which is a critical qualifications level: Only for values of Q greater than or equal to \(\overline{Q}\) are the placement efforts expected to be profitable from the perspective of the private agency so that:
$$E\left[\pi _{i}\left(\overline{Q}\right)\right]=C$$
(3)
Thus, private employment agencies will invest resources only in those job seekers with values of Q greater than or equal to \(\overline{Q}\), i.e., those job seekers with rather good anticipated labor market prospects. This means that private agencies engage in cream-skimming, as shown in Fig. 1. In this contribution, we understand cream-skimming not simply as employment agencies’ focus on job seekers who are easier to place (reflected by high values of pi), but as focus on job seekers who are expected to lead to high profits of the placement agency, which is determined not only by high values of pi but also by high expected wages wi. As described above, both of these factors are positively correlated with job seekers’ qualifications. In contrast, the public employment agency, in line with its legal obligation, operates not only for job seekers with high qualifications (who will often not require this public service) but also and especially for those with low qualifications.
These considerations directly lead to our first hypothesis:
Hypothesis 1 (H1): In a situation without a voucher policy in place, there is cream-skimming in terms of higher average qualifications of individuals placed by private employment agencies compared to individuals placed by the public employment agency.
We continue by incorporating the job placement voucher into our considerations. The potential job placement voucher is denoted as Vi(Qi). There is a threshold level \(\tilde{Q}\) such that only job seekers with values of Q below \(\tilde{Q}\) can obtain a voucher, since it is targeted at hard-to-place cases with low values of Q. This can be noted formally in the following way (with the voucher value \(V_{i}> 0)\):
$$V_{i}\left(Q_{i}\right)=\begin{cases} V_{i} &\text{if } Q_{i}< \tilde{Q}\\ 0 &\text{if } Q_{i}\geq \tilde{Q} \end{cases}$$
(4)
The voucher is only redeemable in the case of successful placement. Therefore, with the voucher option, expected revenues for the private agency change to the following term:
$$E\left[\pi _{i}\right]=p_{i}\left(Q_{i}\right)\cdot [w_{i}\left(Q_{i}\right)\cdot x+V_{i}\left(Q_{i}\right)]$$
(5)
The impact of vouchers on the selection decision of the private agency depends on the relation between the threshold for private placements efforts (\(\overline{Q}\)) and the threshold for obtaining a voucher (\(\tilde{Q}\)). Three possible cases regarding this relation can be distinguished: \(\overline{Q}< \tilde{Q}\), \(\overline{Q}=\tilde{Q}\), and \(\overline{Q}> \tilde{Q}\). Suppose in the simplest case that \(\overline{Q}\) equals \(\tilde{Q}\), meaning that everyone below \(\overline{Q}\) can obtain a voucher, as illustrated in Fig. 2.Footnote 1 In comparison to a situation without a voucher scheme, the private agency expands its range of potential customers and operates additionally for less qualified job seekers, since the voucher represents an additional remuneration component for the private agency which compensates for the lower expected revenue. However, there is a minimum qualifications level \(\overline{Q_{V}}\), such that for individuals below this threshold, the expected revenue is below the placement costs despite the voucher. Thus, compared to a situation without a voucher scheme, the private employment agency additionally invests efforts into placing individuals with values of Q in the interval \(\left[\overline{Q_{V}}, \overline{Q}\right)\).
As private agencies expand their range of potential customers to include more hard-to-place job seekers with lower values of Q, we expect that under a voucher policy (i.e., since 2002), cream-skimming will be weaker compared to a situation where such a voucher policy is not in place (i.e., before 2002). Accordingly, we state the following hypothesis:
Hypothesis 2 (H2): In a situation with a voucher policy in place, cream-skimming is less pronounced than in a situation without such policy.
However, the introduction of vouchers does not lead private agencies to alter their selection decision with regard to individuals without vouchers. Thus, under a voucher scheme we still expect privately placed individuals without vouchers to be on average more qualified than publicly placed individuals. Therefore, we hypothesize the following:
Hypothesis 3 (H3): In a situation with a voucher policy in place, there is still cream-skimming among privately placed individuals without vouchers in the sense that they are on average more qualified than publicly placed individuals.
Further, a key point to note from Fig. 2 is that privately placed individuals with vouchers have values of Q in the interval \(\left[\overline{Q_{V}},\overline{Q}\right)\), whereas privately placed individuals without vouchers have values of Q greater than or equal to \(\overline{Q}\). We therefore expect the latter to be on average more qualified than the former, leading us to state the following hypothesis:
Hypothesis 4 (H4): Privately placed individuals with vouchers are on average less qualified than privately placed individuals without vouchers.
Therefore, we expect that the reduction of cream-skimming in the situation with a voucher policy in place (H2) is driven by private placements involving vouchers rather than private placements without the use of vouchers.
Under co-financing, as described in Sect. 2, the voucher does not necessarily represent an additional remuneration component for private agencies, as has been assumed so far in our model, because the employer might reduce the payment to the private employment agency (via x) if a voucher is in place. Nevertheless, without this assumption our hypotheses remain unchanged. If employers lower the remuneration to the private employment agency, then their costs for the private placement services are reduced. Therefore, employers are more likely to employ job seekers with low values of Q who would not be employed in a situation without vouchers (with higher remuneration). Thus, p(Q) increases with the use of the voucher, which in turn increases the expected revenue of private agencies, as assumed above.
Job Placement Institutions and Job Match Quality
Our job match quality analysis aims to investigate differences in the quality of job matches created by private agencies (with or without vouchers) compared to the German public employment agency. In previous literature, it has been argued that efficiency gains might be realized when job seekers are placed by private as opposed to public agencies. Such efficiency gains might result from monetary incentives due to the performance-based pay of private agencies (Pfeiffer and Winterhager 2006). Private placement might improve the employer-employee matching compared to placement by the public agency, for example through better testing of job seekers or reduced information asymmetries between employers and job seekers (Beckmann et al. 2004). Reducing such information asymmetries and ensuring a good employer-employee matching is of major importance in order for private employment agencies to maintain their reputation, which is a precondition for their market success (Walwei 1998). For these reasons, we expect the subsequent job match quality to be higher for privately placed individuals (using a voucher or not using a voucher) in comparison to publicly placed individuals. Thus, we hypothesize the following:
Hypothesis 5 (H5): Subsequent job match quality is on average higher in the case of private placement (with or without a voucher) as opposed to public placement.