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Compromise, Don’t Optimize: Generalizing Perfect Bayesian Equilibrium to Allow for Ambiguity

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  • Karl H. Schlag
  • Andriy Zapechelnyuk

Abstract

We introduce a solution concept for extensive form games of incomplete information in which players can have multiple priors. Players’ choices are based on the notions of complaints and compromises. Complaints come from hypothetical assessors who have different priors and evaluate the choices of the players. Compromises are choices that aim to make these complaints small. The resulting solution concept is called perfect compromise equilibrium and generalizes perfect Bayesian equilibrium. We use this concept to provide insights into how ambiguity influences Cournot and Bertrand markets, public good provision, markets for lemons, job market signaling, bilateral trade with common value, and forecasting.

Suggested Citation

  • Karl H. Schlag & Andriy Zapechelnyuk, 2024. "Compromise, Don’t Optimize: Generalizing Perfect Bayesian Equilibrium to Allow for Ambiguity," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 2(1), pages 77-128.
    • Handle: RePEc:ucp:jpemic:doi:10.1086/726841
    DOI: 10.1086/726841
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    5. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    6. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
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