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Robust Moral Hazard with Distributional Ambiguity

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  • Li, Zhaolin

Abstract

We present a moral hazard model in which both the entrepreneur and investor face limited liability and employ a robust decision rule that maximizes their worst-case expected profit when distributional ambiguity exists. Applying strong duality, we reformulate the robust moral hazard model by introducing a new set of incentive compatibility constraints associated with choosing the most unfavourable distribution. We develop a one-step-ahead method using shadow prices for such probabilistic resources as mean and variance to characterize the robustly optimal contract and to improve the commonly used debt contract.

Suggested Citation

  • Li, Zhaolin, 2020. "Robust Moral Hazard with Distributional Ambiguity," Working Papers BAWP-2020-03, University of Sydney Business School, Discipline of Business Analytics.
  • Handle: RePEc:syb:wpbsba:2123/23549
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    References listed on IDEAS

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    1. 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.
    2. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    3. 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.
    4. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    5. Carrasco, Vinicius & Farinha Luz, Vitor & Kos, Nenad & Messner, Matthias & Monteiro, Paulo & Moreira, Humberto, 2018. "Optimal selling mechanisms under moment conditions," Journal of Economic Theory, Elsevier, vol. 177(C), pages 245-279.
    6. Joseph E. Stiglitz, 1974. "Incentives and Risk Sharing in Sharecropping," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(2), pages 219-255.
    7. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    8. Holmstrom, Bengt & Milgrom, Paul, 1991. "Multitask Principal-Agent Analyses: Incentive Contracts, Asset Ownership, and Job Design," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 7(0), pages 24-52, Special I.
    9. Spence, Michael & Zeckhauser, Richard, 1971. "Insurance, Information, and Individual Action," American Economic Review, American Economic Association, vol. 61(2), pages 380-387, May.
    10. Gabriel Carroll, 2019. "Robustness in Mechanism Design and Contracting," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 139-166, August.
    11. William P. Rogerson, 2003. "Simple Menus of Contracts in Cost-Based Procurement and Regulation," American Economic Review, American Economic Association, vol. 93(3), pages 919-926, June.
    12. 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.
    13. J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 3-21.
    14. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    15. John R. Conlon, 2009. "Two New Conditions Supporting the First-Order Approach to Multisignal Principal-Agent Problems," Econometrica, Econometric Society, vol. 77(1), pages 249-278, January.
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    1. Ramsebner, J. & Haas, R. & Auer, H. & Ajanovic, A. & Gawlik, W. & Maier, C. & Nemec-Begluk, S. & Nacht, T. & Puchegger, M., 2021. "From single to multi-energy and hybrid grids: Historic growth and future vision," Renewable and Sustainable Energy Reviews, Elsevier, vol. 151(C).

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    Keywords

    Debt contract; Moral hazard; Robust optimization;
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