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Discounted quotas

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  • Frankel, Alexander

Abstract

This paper extends the concept of a quota contract to account for discounting and for the possibility of infinitely many periods: a discounted quota fixes the number of expected discounted plays on each action. I first present a repeated principal-agent contracting environment in which menus of discounted quota contracts are optimal. I then recursively characterize the dynamics of discounted quotas for an infinitely repeated iid problem. Dynamics are described more explicitly for the limit as interactions become frequent, and for the case where only two actions are available.

Suggested Citation

  • Frankel, Alexander, 2016. "Discounted quotas," Journal of Economic Theory, Elsevier, vol. 166(C), pages 396-444.
    • Handle: RePEc:eee:jetheo:v:166:y:2016:i:c:p:396-444
    DOI: 10.1016/j.jet.2016.08.001
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    1. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    2. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Corrigendum to "Tacit collusion in repeated auctions" [J. Econ. Theory 114 (2004) 153-169]," Journal of Economic Theory, Elsevier, vol. 114(2), pages 370-371, February.
    3. Alessandra Casella & Thomas Palfrey & Raymond Riezman, 2013. "Minorities and Storable Votes," World Scientific Book Chapters, in: Raymond Riezman (ed.), International Trade Agreements and Political Economy, chapter 15, pages 247-282, World Scientific Publishing Co. Pte. Ltd..
    4. Guo, Yingni & Hörner, Johannes, 2015. "Dynamic Mechanisms without Money," Economics Series 310, Institute for Advanced Studies.
    5. Bentley W. MacLeod, 2003. "Optimal Contracting with Subjective Evaluation," American Economic Review, American Economic Association, vol. 93(1), pages 216-240, March.
    6. Alexander Frankel, 2014. "Aligned Delegation," American Economic Review, American Economic Association, vol. 104(1), pages 66-83, January.
    7. Archishman Chakraborty & Rick Harbaugh, 2010. "Persuasion by Cheap Talk," American Economic Review, American Economic Association, vol. 100(5), pages 2361-2382, December.
      • Archishman Chakraborty & Rick Harbaugh, 2006. "Persuasion by Cheap Talk," Working Papers 2006-10, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Oct 2009.
    8. Casella, Alessandra, 2005. "Storable votes," Games and Economic Behavior, Elsevier, vol. 51(2), pages 391-419, May.
    9. Chakraborty, Archishman & Harbaugh, Rick, 2007. "Comparative cheap talk," Journal of Economic Theory, Elsevier, vol. 132(1), pages 70-94, January.
      • Archishman Chakraborty & Rick Harbaugh, 2004. "Comparative Cheap Talk," Working Papers 2004-08, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    10. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    11. Juan F. Escobar & Juuso Toikka, 2013. "Efficiency in Games With Markovian Private Information," Econometrica, Econometric Society, vol. 81(5), pages 1887-1934, September.
    12. Susan Athey & Andrew Atkeson & Patrick J. Kehoe, 2005. "The Optimal Degree of Discretion in Monetary Policy," Econometrica, Econometric Society, vol. 73(5), pages 1431-1475, September.
    13. Pearce, David G. & Stacchetti, Ennio, 1998. "The Interaction of Implicit and Explicit Contracts in Repeated Agency," Games and Economic Behavior, Elsevier, vol. 23(1), pages 75-96, April.
    14. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Tacit collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 114(1), pages 153-169, January.
    15. Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-1186, December.
    16. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    17. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    18. Manuel Amador & Iván Werning & George-Marios Angeletos, 2006. "Commitment vs. Flexibility," Econometrica, Econometric Society, vol. 74(2), pages 365-396, March.
    19. George Baker & Robert Gibbons & Kevin J. Murphy, 2002. "Relational Contracts and the Theory of the Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 39-84.
    20. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    21. Alexander Frankel & Michael Schwarz, 2014. "Experts And Their Records," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 56-71, January.
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    More about this item

    Keywords

    Dynamic contracts; Credence goods; Delegation;
    All these keywords.

    JEL classification:

    • 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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