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Bounds on the welfare loss from moral hazard with limited liability

Felipe Balmaceda (), Santiago R. Balseiro, José R. Correa and Nicolás E. Stier-Moses

Games and Economic Behavior, 2016, vol. 95, issue C, 137-155

Abstract: We study a principal–agent problem with discrete outcome and effort level spaces. The principal and the agent are risk neutral and the latter is subject to limited liability. Quantifying welfare loss as the ratio between the first-best social welfare and that arising from the principal's optimal pay-for-performance contract, we provide simple parametric bounds for problem instances with moral hazard. Relying on that, we compute the worst-case welfare loss ratio among all problem instances with a fixed number of effort and outcome levels as a function of the number of possible effort levels and the likelihood ratio evaluated at the highest outcome. As extensions, we look at linear contracts and at cases with multiple identical tasks. Our work constitutes an initial attempt to quantify the losses arising from moral hazard when the agent is subject to limited liability, and shows that these losses are non-negligible in the worst case.

Keywords: Principal–agent problem; Moral hazard; Limited liability; Welfare loss; Price of anarchy (search for similar items in EconPapers)
JEL-codes: D21 J24 J41 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:95:y:2016:i:c:p:137-155

DOI: 10.1016/j.geb.2015.10.008

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