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Incentives, ability and disutility of effort

2021, Ph.D. Martinez-Gorricho, Silvia, Sanchez-Villalba, Miguel

We generalize the disutility of effort function in the linear-Constant Absolute Risk Aversion (CARA) pure moral hazard model. We assume that agents are heterogeneous in ability. Each agent’s ability is observable and treated as a parameter that indexes the disutility of effort associated with the task performed. In opposition to the literature (the “traditional” scenario), we find a new, “novel” scenario, in which a high-ability agent may be offered a weaker incentive contract than a low-ability one, but works harder. We characterize the conditions for the existence of these two scenarios: formally, the “traditional” (“novel”) scenario occurs if and only if the marginal rate of substitution of the marginal disutility of effort function is increasing (decreasing) in effort when evaluated at the second-best effort. If, further, this condition holds for all parameter values and matching is endogenous, less (more) talented agents work for principals with riskier projects in equilibrium. This implies that the indirect and total effects of risk on incentives are negative under monotone assortative matching.

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A comment on "salaries or piece rates: on the endogenous matching of harvest workers and crops"

2021, Ph.D. Martinez-Gorricho, Silvia, Sanchez-Villalba, Miguel

In Kandilov and Vukina (2016), the authors conclude that -when agents differ in their ability and principals in the riskiness of their projects- negative assortative matching (NAM) always ensues in equilibrium: good-type (high-ability) agents always match with bad-type (high-risk) principals and vice-versa (p. 78 and 82). We prove that this conclusion is incorrect. We revisit their model and show that positive assortative matching (PAM) always holds in equilibrium by applying standard literature results.