Relative performance pay in the shadow of crisis
Introduction
During the recent economic crisis in the U.S. and Europe, companies had to deal with a reduction of demand for their products and reduced profits. Even though the local governments induced “recovery packages” including for instance the option for short-time working, companies often decided to shut down parts of their facilities or to generally downsize their workforce (for more details check Glassner and Galgoczi, 2009). For example, Foot Locker closed 208 of its U.S. stores in 2008 to increase overall efficiency and profits. In the same year, the coffee retailer Starbucks proclaimed to shut down 600 of its underperforming shops in the U.S. In January 2010, the large European drugstore chain Schlecker announced to eliminate 500 locations, while GAP decided to close 189 retail stores in the U.S. in 2011. These and other cases show that, for technological reasons, companies prefer closing an entire organizational unit or a department to dismissing a certain number of workers at different units. As Bewley (1999) documents, companies with a single location also prefer dissolving whole departments.2
Generally, if a company is facing a crisis, workers might lose their jobs or will have to accept substantial wage cuts. The job insecurity perceptions during such a downsizing process lead to a reduction of performance and increased stress (Sverke et al., 2002) a phenomenon which can also be observed in the advance notice period of plant closures (Hansson and Wigblad, 2006).3 This strand of the literature deals with large companies that were facing a severe crisis and in the end did not manage a turnaround and were forced to downsize or close parts of their businesses. However, little is known about the effects of a looming crisis when there is still a chance to avoid layoffs and closures. Our paper fills this gap in the literature as we study the impact of different degrees of crisis on worker motivation.
Intuitively, a looming crisis might reduce incentives for workers, because they might not receive promised bonus payments or promotions even though they performed well (see, e.g., Friebel and Matros, 2005). We show that this intuition is not necessarily true and theoretically and experimentally discuss the incentive effects of a crisis for the case of relative performance pay. The theoretical results show that incentives will indeed decrease, if the crisis is sufficiently severe. However, if workers face a minor crisis, incentives will be enhanced compared to a situation without crisis. The experimental findings support the incentive enhancing effect of a minor crisis. The detrimental consequences of a severe crisis are considerably less strong than theoretically predicted, suggesting that individuals are – at least partly – motivated by the possibility to save their department by an overall high performance.
In the empirical part of the paper, we rely on experimental data instead of company data as it would be very difficult to measure the perceived extent of a crisis and the individual effort reaction of workers using company data. The experiment allows us to induce different likelihoods of termination resulting from a crisis keeping all else equal. In our theoretical model we compare three different cases: no crisis, minor crisis, severe crisis. We start with the baseline case where a department does not face a crisis and the workers are motivated by relative performance pay. The use of relative performance pay in the form of bonus pools, sales contests or rewards is very common in companies to induce incentives.4 Moreover, nearly every company uses relative performance evaluation to fill vacant positions via job-promotion contests. In addition, many companies apply forced-ranking systems to avoid leniency and centrality biases when evaluating their employees. As Boyle (2001) reports, about 25% of the Fortune 500 companies employ a forced-ranking system (e.g., General Electric, Intel, Cisco Systems, Sun Microsystems). Following the seminal papers by Lazear and Rosen (1981), Green and Stokey (1983), Nalebuff and Stiglitz (1983), O׳Keeffe et al. (1984), Malcomson (1984), and Rosen (1986), we model workers׳ relative performance pay as a rank-order tournament. We consider a stylized situation of a department with two workers. These two workers compete for relative performance pay, consisting of a non-negative tournament loser prize and a strictly larger winner prize.
In the second and third case we supplement relative performance pay by the possibility of termination due to a minor or a severe crisis, respectively. In both case termination can be avoided if the performance of the department exceeds a certain threshold. Hence, the likelihood of termination is not exogenous but does depend on the workers׳ efforts. If the threshold is not met, the department will be terminated and both workers will lose the tournament prizes. The combination of relative performance pay and a looming crisis leads to two opposing incentive effects for the workers. On the one hand, the incentive effect of relative performance pay leads to a negative externality with respect to the competing co-worker. The higher a worker׳s effort, the lower the co-worker׳s probability of winning the tournament. On the other hand, the “team effect” of collectively saving the department leads to a positive externality between the workers. If a worker exerts high effort, the department׳s survival probability will increase. The presumable winner of the tournament thus benefits from this effort.
The second case – minor crisis – corresponds to a situation where the department can avoid termination relatively easily by improving its productivity. As only one worker needs to be successful to meet the department׳s survival threshold, the team component of saving the department vanishes. But the negative externality of relative performance pay is still present. Our results show that in this setting efforts are strategic substitutes in the sense of Bulow et al. (1985) meaning that a higher effort of one worker decreases the effort of his opponent. Since each worker wants to make use of this strategic effect, in equilibrium both end up in a situation with higher effort levels compared to the baseline case without crisis.
The third case – severe crisis – corresponds to a situation where termination is very likely and can only be avoided if both workers are sufficiently successful so that the survival threshold is met. Now, the survival of the department and, hence, the positive externality between the workers become the main issue. This situation reminds of a team problem as the workers have to stick together in order to avoid termination. The important difference to the existing team literature (see, e.g., van Dijk et al., 2001 or Vandegrift and Yavas, 2011) is that the workers still participate in a tournament and therefore only one of them will be able to collect the winner prize. We show that in this setting efforts are strategic complements in the sense of Bulow et al. (1985) as less effort by one of the workers induces less effort by the other. As a consequence, the workers free-ride in equilibrium and choose lower effort levels than in the baseline case without crisis.
To sum up, we find that the severity of the looming crisis is crucial for its impact on worker motivation. If efforts are strategic substitutes as in the case of a minor crisis, workers will respond with higher effort levels than in the baseline case. If efforts are strategic complements as in the severe crisis, workers will refrain from exerting much effort compared to the baseline case. Thus, our model shows that both, reduced productivity before plant closure announcements and enhanced productivity, can be explained based on the plant׳s (or department׳s) likelihood of being terminated.
In our experiment, we test the theoretical results. We start with a winner-take-all situation where only the tournament winner receives a positive prize. In a second step we introduce a positive loser prize as a robustness check. The experimental findings are qualitatively in line with our theoretical predictions: On average, players chose highest effort given a minor crisis, but they chose higher effort in the baseline tournament without crisis than in the tournament given a severe crisis. Furthermore, the players׳ best response functions indicate that efforts were strategic substitutes (complements) under a minor (severe) crisis and neither of both in a situation without a crisis. However, in either situation – minor, no, and severe crisis – players invested significantly more effort than theoretically predicted. While this observation is not unusual for experiments on tournaments (see, e.g., Orrison et al., 2004, Vandegrift et al., 2007, Sheremeta and Zhang, 2010, Harbring and Irlenbusch, 2011; and in particular Sheremeta, 2013), excessive oversupply of effort in a severe crisis compared to situations with a minor or no crisis remains a puzzle. In a severe crisis, average effort was more than twice as high compared to the equilibrium effort level. The double amount of effort has a strong implication for the department׳s survival probability, making it five times higher than in equilibrium.
We incorporate risk aversion, loss aversion, inequity aversion, or non-monetary utility of winning in our model to see if the predictions might explain our findings. The theoretical predictions of models incorporating risk aversion, loss aversion, or non-monetary utility of winning are in line with the observed effort ranking and the best response functions, but cannot explain the large oversupply of effort under a severe crisis. The theoretical prediction of a model incorporating inequity aversion is neither in line with the observed effort ranking, the best response functions, nor with the observed excessive oversupply of effort given a severe crisis. As an alternative, we develop a theoretical approach that takes into account that workers first have to collectively achieve the survival of their department before receiving their personal incomes. This approach meets the observations in the experiment with a zero loser prize as well as the observations on players׳ behavior with a positive loser prize.
Section snippets
Related literature
Our study combines relative performance pay with the threat of a crisis which leads to tournament incentives on the one hand and a team component on the other. Thus, our study is related to different strands of the literature. We start with a short overview of the work on the threat of bankruptcy and its effect on incentives before we discuss experimental studies investigating tournaments and in particular those addressing oversupply of effort. Because of the underlying team-problem in our
The model
We consider two workers, 1 and 2, who are paid based on their relative performance and belong to the same department of a company. Typical examples for such a set-up are for instance sales contests or forced-ranking systems, which are frequently used in practice.5 Based on the outcome of the tournament, the two workers receive monetary prizes wL and . If worker i produces a higher output than
Solution to the model
Worker i chooses effort ai to maximize his expected utilityThe term denotes worker i׳s probability of receiving the winner prize w. To win, worker i has to outperform worker j and, in addition, the joint output has to exceed the threshold . Eq. (3) shows that the influence of co-worker j׳s effort, aj, on worker i׳s expected utility is double-edged. On the one hand, j imposes a negative externality on i because
Experimental design and set-up
In our laboratory experiment, we investigated how players competing in a tournament react to a crisis. We are particularly interested in how the severity of a crisis influences players׳ behavior. The continuous framework used in the previous section allows a rigorous theoretical analysis but exhibits a continuous degree of crisis severity. For the experiment, we develop a more stylized model which captures the three polar cases we are interested in: a tournament with no crisis, with a minor
Hypotheses
The theoretically predicted behavior for the parameterized model used in the experiment is shown in Table 1 and lead to the first hypothesis:
- Hypothesis 1:
When deciding on efforts, players select 50 points in the base scenario without crisis, 60 points in case of a minor crisis, and 25 points in case of a severe crisis.
Previous experiments have shown that players tend to oversupply effort in tournament settings so that players might systematically deviate from the theoretical efforts in our experiment as
Experimental results
We tested our hypotheses with data from the experiment starting with Hypothesis 1. First, we refer to the behavior in the main treatments. As can already be seen in Fig. 1, the average effort level in the base treatment was 61.33, for the minor treatment it was 66.50, and in the severe treatment we observed an average effort level of 55.45 points. All reported effort levels are significantly higher than the respective theoretical prediction (one sample mean comparison test: for all p=0.000).20
Discussion
In the main-severe treatment, players׳ efforts were more than twice as high compared to theory.28 This deviation from theoretically predicted effort is significantly larger than the deviations in the two other main treatments and also larger than the deviations documented in other tournament experiments. In the following, we discuss possible explanations for this
Conclusion
The theoretical and experimental results of our paper have shown that the severity of a crisis significantly influences worker behavior. Our experimental findings have the following implication for the personnel policy of a company. In a bad economic situation, in which a department has a positive likelihood of being terminated, employees will struggle to guarantee survival of the department rather than to give up or free ride. Hence, the management should not be afraid that an initially small
Acknowledgments
We would like to thank the associate editor, three anonymous referees as well as the participants of the research seminar at the European Business School (Wiesbaden), the brown bag seminar on personnel economics at the University of Cologne, the MAXLab Academic Frontiers Workshop in Magdeburg, the Personnel Economics Meeting in Zurich, the conference on Tournaments, Contests and Relative Performance Evaluation in Raleigh, the Symposium of the German Economic Association of Business
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