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Optimal Delegation Under Unknown Bias: The Role of Concavity

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  • Noam Tanner

Abstract

A principal is uncertain of an agent's preferences and cannot provide monetary transfers. The principal, however, does control the discretion granted to the agent. In this paper, we provide a simple characterization of when it is optimal for the principal to screen by offering different terms of discretion to the agent. When the principal's utility is sufficiently concave, it is optimal for the principal to pool and to offer all agents the same discretion. Thus, for any number of agents and any distribution over agent preferences, the optimal contract is simple: the principal sets a cap and forbids actions above this cap (interval delegation). For less concave preferences, it is optimal for the principal to screen. The principal benefits by providing agents a choice between interval delegation and gap delegation, which allows for more extreme actions but prohibits intermediate actions. Moreover, we provide new intuition for the optimality of interval delegation when the principal knows the agent's preferences: the payoff distributions generated by sets containing gaps are mean-preserving spreads of those generated by intervals.

Suggested Citation

  • Noam Tanner, 2018. "Optimal Delegation Under Unknown Bias: The Role of Concavity," Supervisory Research and Analysis Working Papers RPA 18-1, Federal Reserve Bank of Boston.
    • Handle: RePEc:fip:fedbqu:rpa18-1
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    References listed on IDEAS

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    1. Manuel Amador & Iván Werning & George-Marios Angeletos, 2006. "Commitment vs. Flexibility," Econometrica, Econometric Society, vol. 74(2), pages 365-396, March.
    2. Marianne Bertrand & Sendhil Mullainathan, 1999. "Is There a Discretion in Wage Setting? A Test Using Takeover Legislation," RAND Journal of Economics, The RAND Corporation, vol. 30(3), pages 535-554, Autumn.
    3. Armstrong, Mark, 1995. "Delegation and discretion," MPRA Paper 17069, University Library of Munich, Germany.
    4. Alexander Frankel, 2014. "Aligned Delegation," American Economic Review, American Economic Association, vol. 104(1), pages 66-83, January.
    5. Ambrus, Attila & Egorov, Georgy, 2017. "Delegation and nonmonetary incentives," Journal of Economic Theory, Elsevier, vol. 171(C), pages 101-135.
    6. Jensen, Michael C, 1986. "Agency Costs of Free Cash Flow, Corporate Finance, and Takeovers," American Economic Review, American Economic Association, vol. 76(2), pages 323-329, May.
    7. Tracy R. Lewis & David E.M. Sappington, 1989. "Regulatory Options and Price-Cap Regulation," RAND Journal of Economics, The RAND Corporation, vol. 20(3), pages 405-416, Autumn.
    8. Kovác, Eugen & Mylovanov, Tymofiy, 2009. "Stochastic mechanisms in settings without monetary transfers: The regular case," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1373-1395, July.
    9. Dezsö Szalay, 2005. "The Economics of Clear Advice and Extreme Options," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 1173-1198.
    10. Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer.
    11. Mylovanov, Tymofiy, 2008. "Veto-based delegation," Journal of Economic Theory, Elsevier, vol. 138(1), pages 297-307, January.
    12. Melumad, Nd & Shibano, T, 1994. "The Securities-And-Exchange-Commission And The Financial-Accounting-Standards-Board - Regulation Through Veto-Based Delegation," Journal of Accounting Research, Wiley Blackwell, vol. 32(1), pages 1-37.
    13. Martimort, David & Semenov, Aggey, 2006. "Continuity in mechanism design without transfers," Economics Letters, Elsevier, vol. 93(2), pages 182-189, November.
    14. Manuel Amador & Kyle Bagwell, 2012. "Tariff Revenue and Tariff Caps," American Economic Review, American Economic Association, vol. 102(3), pages 459-465, May.
    15. Gilligan, Thomas W & Krehbiel, Keith, 1987. "Collective Decisionmaking and Standing Committees: An Informational Rationale for Restrictive Amendment Procedures," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 3(2), pages 287-335, Fall.
    16. Manuel Amador & Kyle Bagwell, 2013. "The Theory of Optimal Delegation With an Application to Tariff Caps," Econometrica, Econometric Society, vol. 81(4), pages 1541-1599, July.
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    Cited by:

    1. Alex Frankel, 2021. "Selecting Applicants," Econometrica, Econometric Society, vol. 89(2), pages 615-645, March.

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    More about this item

    Keywords

    Optimal delegation; Sequential screening; Dynamic mechanism design; Non-transferable utility;
    All these keywords.

    JEL classification:

    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D20 - Microeconomics - - Production and Organizations - - - General
    • 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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