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Repeated Games Where the Payoffs and Monitoring Structure Are Unknown

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  • Drew Fudenberg
  • Yuichi Yamamoto

Abstract

This paper studies repeated games with imperfect public monitoring where the players are uncertain both about the payoff functions and about the relationship between the distribution of signals and the actions played. We introduce the concept of perfect public ex post equilibrium (PPXE), and show that it can be characterized with an extension of the techniques used to study perfect public equilibria. We develop identifiability conditions that are sufficient for a folk theorem; these conditions imply that there are PPXE in which the payoffs are approximately the same as if the monitoring structure and payoff functions were known. Finally, we define perfect type-contingently public ex post equilibria (PTXE), which allows players to condition their actions on their initial private information, and we provide its linear programming characterization. Copyright 2010 The Econometric Society.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 78 (2010)
Issue (Month): 5 (09)
Pages: 1673-1710

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Handle: RePEc:ecm:emetrp:v:78:y:2010:i:5:p:1673-1710

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Cited by:
  1. Olivier Compte & Andrew Postlewaite, 2013. "Folk Theorems, Second Version," PIER Working Paper Archive 13-022, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Apr 2013.
  2. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "The Folk Theorem for Irreducible Stochastic Games with Imperfect Public Monitoring," Scholarly Articles 8896226, Harvard University Department of Economics.
  3. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "Learning from private information in noisy repeated games," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1733-1769, September.
  4. Breitmoser, Yves, 2012. "Cooperation, but no reciprocity: Individual strategies in the repeated Prisoner's Dilemma," MPRA Paper 41731, University Library of Munich, Germany.

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