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Restless Contracting

Author

Listed:
  • Can Urgun

    (Princeton University)

Abstract

I explore how a principal dynamically chooses among multiple agents to utilize for production. The principal chooses at most one agent to utilize in every period affecting the states of the agents. A utilized agent changes its state because it is utilized, but the nonutilized agents do not remain at rest: they also change their state. The analysis requires a novel methodological approach: the agency problem that the principal faces with each agent is shown to be an appropriately designed restless bandit, creating a multiarmed restless bandit. The optimal contract is characterized by an index rule for the restless bandit.

Suggested Citation

  • Can Urgun, 2021. "Restless Contracting," Working Papers 2021-88, Princeton University. Economics Department..
    • Handle: RePEc:pri:econom:2021-88
    as

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    File URL: https://scholar.princeton.edu/sites/default/files/curgun/files/6bssyxyr_restlesscontractsgeneralmodelv1_edited_final.pdf
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    References listed on IDEAS

    as
    1. James M. Malcomson, 2016. "Relational Incentive Contracts With Persistent Private Information," Econometrica, Econometric Society, vol. 84, pages 317-346, January.
    2. Nicolas Klein & Sven Rady, 2011. "Negatively Correlated Bandits," Review of Economic Studies, Oxford University Press, vol. 78(2), pages 693-732.
    3. Gonzalo Cisternas & Nicolás Figueroa, 2015. "Sequential procurement auctions and their effect on investment decisions," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 824-843, October.
    4. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2002. "Informal Insurance Arrangements with Limited Commitment: Theory and Evidence from Village Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 209-244.
    5. Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2007. "Social Learning in One-Arm Bandit Problems," Econometrica, Econometric Society, vol. 75(6), pages 1591-1611, November.
    6. Christos H. Papadimitriou & John N. Tsitsiklis, 1999. "The Complexity of Optimal Queuing Network Control," Mathematics of Operations Research, INFORMS, vol. 24(2), pages 293-305, May.
    7. Godfrey Keller & Sven Rady & Martin Cripps, 2005. "Strategic Experimentation with Exponential Bandits," Econometrica, Econometric Society, vol. 73(1), pages 39-68, January.
    8. Bergemann, Dirk & Valimaki, Juuso, 1996. "Learning and Strategic Pricing," Econometrica, Econometric Society, vol. 64(5), pages 1125-1149, September.
    9. Nicola Pavoni & Christopher Sleet & Matthias Messner, 2018. "The Dual Approach to Recursive Optimization: Theory and Examples," Econometrica, Econometric Society, vol. 86(1), pages 133-172, January.
    10. Marina Halac, 2012. "Relational Contracts and the Value of Relationships," American Economic Review, American Economic Association, vol. 102(2), pages 750-779, April.
    11. Jonathan Levin, 2002. "Multilateral Contracting and the Employment Relationship," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 1075-1103.
    12. Bruno Strulovici, 2010. "Learning While Voting: Determinants of Collective Experimentation," Econometrica, Econometric Society, vol. 78(3), pages 933-971, May.
    13. Jonathan Thomas & Tim Worrall, 1988. "Self-Enforcing Wage Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 541-554.
    14. 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.
    15. Rustichini, Aldo, 1998. "Dynamic Programming Solution of Incentive Constrained Problems," Journal of Economic Theory, Elsevier, vol. 78(2), pages 329-354, February.
    16. Suehyun Kwon, 2016. "Relational contracts in a persistent environment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 183-205, January.
    17. James M. Malcomson, 2012. "Relational Incentive Contracts [The Handbook of Organizational Economics]," Introductory Chapters,, Princeton University Press.
    18. Simon Board, 2011. "Relational Contracts and the Value of Loyalty," American Economic Review, American Economic Association, vol. 101(7), pages 3349-3367, December.
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    More about this item

    Keywords

    Relational Contracts; Restless Bandits; Dynamic Contracting;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures

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