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Simple Contracts under Observable and Hidden Actions

Author

Listed:
  • Bo Chen

    (Southern Methodist University, USA)

  • Yu Chen

    (University of Graz, Austria)

  • David Rietzke

    (Lancaster University, UK)

Abstract
We consider a general framework for multitask moral hazard problems with observable and hidden actions. Ideally, the principal in our framework can design optimal contracts that depend on both observable (and verifiable) actions and realized outcomes. Given a mild assumption on the existence of a punishment scheme, we identify a general equivalence result, dubbed the "forcing principle", which states that every optimal contract in our framework is strategically equivalent to a simple forcing contract that is essentially outcome-contingent. The forcing contract only specifies an outcome-contingent reward scheme and an action profile, and the agent receives the outcome-contingent reward only if he follows the recommended observable actions (and is otherwise punished severely). The forcing principle has useful implications: It confers analytic advantage for the existence and computation of optimal contracts in our setting. It also highlights the importance of the existence of the punishment scheme in characterizing first-best benchmarks in moral hazard problems, which is typically ignored in the literature.

Suggested Citation

  • Bo Chen & Yu Chen & David Rietzke, 2017. "Simple Contracts under Observable and Hidden Actions," Graz Economics Papers 2017-07, University of Graz, Department of Economics.
  • Handle: RePEc:grz:wpaper:2017-07
    as

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    File URL: https://unipub.uni-graz.at/obvugrveroeff/download/pdf/9565005?originalFilename=true
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    References listed on IDEAS

    as
    1. Page, Frank Jr., 1987. "The existence of optimal contracts in the principal-agent model," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 157-167, April.
    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. 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.
    4. Laux, Christian, 2001. "Limited-Liability and Incentive Contracting with Multiple Projects," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 514-526, Autumn.
    5. Jewitt, Ian & Kadan, Ohad & Swinkels, Jeroen M., 2008. "Moral hazard with bounded payments," Journal of Economic Theory, Elsevier, vol. 143(1), pages 59-82, November.
    6. Mathias Dewatripont & Patrick Legros & Steven A. Matthews, 2003. "Moral Hazard and Capital Structure Dynamics," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 890-930, June.
    7. David Rietzke & Yu Chen, 2020. "Push or pull? Performance‐pay, incentives, and information," RAND Journal of Economics, RAND Corporation, vol. 51(1), pages 301-317, March.
    8. Baker, George P, 1992. "Incentive Contracts and Performance Measurement," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 598-614, June.
    9. Bo Chen, 2010. "All-or-Nothing Monitoring: Comment," American Economic Review, American Economic Association, vol. 100(1), pages 625-627, March.
    10. DELBAEN, Freddy, 1974. "Continuity of the expected utility," LIDAM Reprints CORE 194, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Moroni, Sofia & Swinkels, Jeroen, 2014. "Existence and non-existence in the moral hazard problem," Journal of Economic Theory, Elsevier, vol. 150(C), pages 668-682.
    12. Kadan, Ohad & Swinkels, Jeroen M., 2013. "Minimum payments and induced effort in moral hazard problems," Games and Economic Behavior, Elsevier, vol. 82(C), pages 468-489.
    13. Chen, Bo, 2012. "All-or-nothing payments," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 133-142.
    14. Canice Prendergast, 2002. "The Tenuous Trade-off between Risk and Incentives," Journal of Political Economy, University of Chicago Press, vol. 110(5), pages 1071-1102, October.
    15. F. Delbaen, 1974. "Continuity of the Expected Utility," International Economic Association Series, in: Jacques H. Drèze (ed.), Allocation under Uncertainty: Equilibrium and Optimality, chapter 14, pages 254-256, Palgrave Macmillan.
    16. Jacques H. Drèze (ed.), 1974. "Allocation under Uncertainty: Equilibrium and Optimality," International Economic Association Series, Palgrave Macmillan, number 978-1-349-01989-2.
    17. Sappington, David, 1983. "Limited liability contracts between principal and agent," Journal of Economic Theory, Elsevier, vol. 29(1), pages 1-21, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    First-best Benchmark; Forcing Contract; Forcing Principle; Moral Hazard; Multitask; Observable Actions;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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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