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Learning from Manipulable Signals

Author

Listed:
  • Mehmet Ekmekci
  • Leandro Gorno
  • Lucas Maestri
  • Jian Sun
  • Dong Wei

Abstract

We study a dynamic stopping game between a principal and an agent. The agent is privately informed about his type. The principal learns about the agent's type from a noisy performance measure, which can be manipulated by the agent via a costly and hidden action. We fully characterize the unique Markov equilibrium of this game. We find that terminations/market crashes are often preceded by a spike in (expected) performance. Our model also predicts that, due to endogenous signal manipulation, too much transparency can inhibit learning. As the players get arbitrarily patient, the principal elicits no useful information from the observed signal.

Suggested Citation

  • Mehmet Ekmekci & Leandro Gorno & Lucas Maestri & Jian Sun & Dong Wei, 2020. "Learning from Manipulable Signals," Papers 2007.08762, arXiv.org, revised Jul 2021.
    • Handle: RePEc:arx:papers:2007.08762
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    References listed on IDEAS

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    1. Philippe Aghion & Matthew O. Jackson, 2016. "Inducing Leaders to Take Risky Decisions: Dismissal, Tenure, and Term Limits," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 1-38, August.
    2. Alp E. Atakan & Mehmet Ekmekci, 2012. "Reputation in Long-Run Relationships," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 451-480.
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    Cited by:

    1. Pei, Harry, 2022. "Reputation for playing mixed actions: A characterization theorem," Journal of Economic Theory, Elsevier, vol. 201(C).

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    More about this item

    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
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage
    • M13 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - New Firms; Startups

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