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Robust incentives for risk

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  • Rosenthal, Maxwell

Abstract

This paper studies a moral hazard problem wherein the principal is uncertain about the agent’s risk preferences and production technology. The principal, desiring robustness, evaluates contracts according to their worst case payoff against the set of preferences and technologies that satisfy her assumptions about the agent and his capabilities. We show that contracts which exhibit robustness to severe risk taking behavior (i) pay their smallest transfer for all outputs below some lower threshold and (ii) pay their largest transfer for all outputs above some upper threshold. In our main result, we identify a class of environments in which two-wage binary bonus contracts are robustly optimal.

Suggested Citation

  • Rosenthal, Maxwell, 2023. "Robust incentives for risk," Journal of Mathematical Economics, Elsevier, vol. 109(C).
  • Handle: RePEc:eee:mateco:v:109:y:2023:i:c:s0304406823000861
    DOI: 10.1016/j.jmateco.2023.102893
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    References listed on IDEAS

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    1. Kim-Sau Chung & J.C. Ely, 2007. "Foundations of Dominant-Strategy Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 447-476.
    2. Vinicius Carrasco & Vitor Farinha Luz & Paulo K. Monteiro & Humberto Moreira, 2019. "Robust mechanisms: the curvature case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(1), pages 203-222, July.
    3. Joaquín Poblete & Daniel Spulber, 2012. "The form of incentive contracts: agency with moral hazard, risk neutrality, and limited liability," RAND Journal of Economics, RAND Corporation, vol. 43(2), pages 215-234, June.
    4. Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
    5. Keeler Marku & Sergio Ocampo & Jean-Baptiste Tondji, 2022. "Robust Contracts in Common Agency," University of Western Ontario, Departmental Research Report Series 20222, University of Western Ontario, Department of Economics.
    6. Fabian Herweg & Daniel Muller & Philipp Weinschenk, 2010. "Binary Payment Schemes: Moral Hazard and Loss Aversion," American Economic Review, American Economic Association, vol. 100(5), pages 2451-2477, December.
    7. Benjamin Brooks & Songzi Du, 2021. "Optimal Auction Design With Common Values: An Informationally Robust Approach," Econometrica, Econometric Society, vol. 89(3), pages 1313-1360, May.
    8. David de Meza & David C. Webb, 2007. "Incentive Design under Loss Aversion," Journal of the European Economic Association, MIT Press, vol. 5(1), pages 66-92, March.
    9. Bruno Jullien & Bernard Salanié & François Salanié, 2007. "Screening risk-averse agents under moral hazard: single-crossing and the CARA case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 151-169, January.
    10. Songzi Du, 2018. "Robust Mechanisms Under Common Valuation," Econometrica, Econometric Society, vol. 86(5), pages 1569-1588, September.
    11. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    12. Auster, Sarah, 2018. "Robust contracting under common value uncertainty," Theoretical Economics, Econometric Society, vol. 13(1), January.
    13. Kristóf Madarász & Andrea Prat, 2017. "Sellers with Misspecified Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 790-815.
    14. Tianjiao Dai & Juuso Toikka, 2022. "Robust Incentives for Teams," Econometrica, Econometric Society, vol. 90(4), pages 1583-1613, July.
    15. de Meza, David & Webb, David C, 2001. "Advantageous Selection in Insurance Markets," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 249-262, Summer.
    16. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
    17. Garrett, Daniel F., 2014. "Robustness of simple menus of contracts in cost-based procurement," Games and Economic Behavior, Elsevier, vol. 87(C), pages 631-641.
    18. Sylvain Chassang, 2013. "Calibrated Incentive Contracts," Econometrica, Econometric Society, vol. 81(5), pages 1935-1971, September.
    19. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    20. Lopomo, Giuseppe & Rigotti, Luca & Shannon, Chris, 2011. "Knightian uncertainty and moral hazard," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1148-1172, May.
    21. Daniel Walton & Gabriel Carroll, 2022. "A General Framework for Robust Contracting Models," Econometrica, Econometric Society, vol. 90(5), pages 2129-2159, September.
    22. Kambhampati, Ashwin, 2023. "Randomization is optimal in the robust principal-agent problem," Journal of Economic Theory, Elsevier, vol. 207(C).
    23. Oyer, Paul, 2000. "A Theory of Sales Quotas with Limited Liability and Rent Sharing," Journal of Labor Economics, University of Chicago Press, vol. 18(3), pages 405-426, July.
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