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Reputation and screening in a noisy environment with irreversible actions

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  • Ekmekci, Mehmet
  • Maestri, Lucas

Abstract

We introduce a class of two-player dynamic games to study the effectiveness of screening in a principal-agent problem. In every period, the principal chooses either to irreversibly stop the game or to continue, and the agent chooses an action if the principal chooses to continue. The agent’s type is his private information, and his actions are imperfectly observed. Players’ flow payoffs depend on the agent’s action, and players’ lump-sum payoffs when the game stops depends on the agent’s type. Both players are long-lived and share a common discount factor. We study the limit of the equilibrium outcomes as both players get arbitrarily patient. Nash equilibrium payoff vectors converge to the unique Nash equilibrium payoff vector of an auxiliary, two-stage game with observed mixed actions. The principal learns some but not all information about the agent’s type. Any payoff-relevant information revelation takes place at the beginning of the game. We calculate the probability that the principal eventually stops the game, against each type of the agent.

Suggested Citation

  • Ekmekci, Mehmet & Maestri, Lucas, 2019. "Reputation and screening in a noisy environment with irreversible actions," MPRA Paper 100885, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:100885
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    File URL: https://mpra.ub.uni-muenchen.de/100885/1/MPRA_paper_100885.pdf
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    References listed on IDEAS

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    1. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Comparative statics of the optimal dynamic incentive contract," European Economic Review, Elsevier, vol. 31(4), pages 901-926, June.
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    3. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, September.
    4. Atakan, Alp E. & Ekmekci, Mehmet, 2015. "Reputation in the long-run with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 553-605.
    5. Raymond Deneckere & Meng-Yu Liang, 2006. "Bargaining with Interdependent Values," Econometrica, Econometric Society, vol. 74(5), pages 1309-1364, September.
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    7. Alp E. Atakan & Mehmet Ekmekci, 2012. "Reputation in Long-Run Relationships," Review of Economic Studies, Oxford University Press, vol. 79(2), pages 451-480.
    8. Bruno Strulovici, 2017. "Contract Negotiation and the Coase Conjecture: A Strategic Foundation for Renegotiation‐Proof Contracts," Econometrica, Econometric Society, vol. 85, pages 585-616, March.
    9. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
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    12. Watson, Joel, 1999. "Starting Small and Renegotiation," Journal of Economic Theory, Elsevier, vol. 85(1), pages 52-90, March.
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    More about this item

    Keywords

    Dynamic Games; Screening; Reputation; Imperfect Monitoring;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • 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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