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Simple incentives and diverse beliefs

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  • Rosenthal, Maxwell

    (School of Economics, Georgia Institute of Technology)

Abstract

This paper studies a moral hazard problem in which the principal does not know the agent’s beliefs about the output generating process. The agent is risk neutral, transfers are subject to limited liability, and the principal evaluates contracts according to their worst-case payoff against a rich set of plausible agent beliefs. With common knowledge of the relationship between effort and expected output, optimal contracts are of the form w(y) = max (αy +β, 0). With or without common knowledge of that relationship, there are broad conditions under which optimal contracts are of the form w(y) = αy + β and the principal can not improve her payoff guarantee by randomizing over menus of contracts.

Suggested Citation

  • Rosenthal, Maxwell, 0. "Simple incentives and diverse beliefs," Theoretical Economics, Econometric Society.
  • Handle: RePEc:the:publsh:5600
    as

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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. 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.
    3. Keler Marku & Sergio Ocampo & Jean‐Baptiste Tondji, 2024. "Robust contracts in common agency," RAND Journal of Economics, RAND Corporation, vol. 55(2), pages 199-229, June.
    4. Koichiro Ito, 2014. "Do Consumers Respond to Marginal or Average Price? Evidence from Nonlinear Electricity Pricing," American Economic Review, American Economic Association, vol. 104(2), pages 537-563, February.
    5. 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.
    6. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    7. David Martimort & Lars A. Stole, 2020. "Nonlinear Pricing with Average-Price Bias," American Economic Review: Insights, American Economic Association, vol. 2(3), pages 375-396, September.
    8. David M. Kreps, 2012. "Microeconomic Foundations I: Choice and Competitive Markets," Economics Books, Princeton University Press, edition 1, volume 1, number 9890.
    9. de la Rosa, Leonidas Enrique, 2011. "Overconfidence and moral hazard," Games and Economic Behavior, Elsevier, vol. 73(2), pages 429-451.
    10. Ashwin Kambhampati & Bo Peng & Zhihao Gavin Tang & Juuso Toikka & Rakesh Vohra, 2025. "Randomization and the Robustness of Linear Contracts," PIER Working Paper Archive 25-004, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    11. Tianjiao Dai & Juuso Toikka, 2022. "Robust Incentives for Teams," Econometrica, Econometric Society, vol. 90(4), pages 1583-1613, July.
    12. Sylvain Chassang, 2013. "Calibrated Incentive Contracts," Econometrica, Econometric Society, vol. 81(5), pages 1935-1971, September.
    13. Morris, Stephen, 1995. "The Common Prior Assumption in Economic Theory," Economics and Philosophy, Cambridge University Press, vol. 11(2), pages 227-253, October.
    14. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    15. Lopomo, Giuseppe & Rigotti, Luca & Shannon, Chris, 2011. "Knightian uncertainty and moral hazard," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1148-1172, May.
    16. Daniel Walton & Gabriel Carroll, 2022. "A General Framework for Robust Contracting Models," Econometrica, Econometric Society, vol. 90(5), pages 2129-2159, September.
    17. Kambhampati, Ashwin, 2024. "Robust performance evaluation of independent agents," Theoretical Economics, Econometric Society, vol. 19(3), July.
    18. Chang Liu, 2022. "Robust Contracts with Exploration," Papers 2212.00157, arXiv.org, revised Feb 2024.
    19. Ashwin Kambhampati, 2024. "Robust Performance Evaluation of Independent and Identical Agents," Papers 2401.16542, arXiv.org.
    20. Paul Heidhues & Botond Koszegi, 2010. "Exploiting Naivete about Self-Control in the Credit Market," American Economic Review, American Economic Association, vol. 100(5), pages 2279-2303, December.
    21. Edi Karni, 2008. "On Optimal Insurance in the Presence of Moral Hazard*," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 33(1), pages 1-18, June.
    22. Kambhampati, Ashwin, 2023. "Randomization is optimal in the robust principal-agent problem," Journal of Economic Theory, Elsevier, vol. 207(C).
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    Keywords

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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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