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Individual Learning and Cooperation in Noisy Repeated Games

Yuichi Yamamoto

The Review of Economic Studies, 2014, vol. 81, issue 1, 473-500

Abstract: We investigate whether two players in a long-run relationship can maintain cooperation when the details of the underlying game are unknown. Specifically, we consider a new class of repeated games with private monitoring, where an unobservable state of the world influences the payoff functions and/or the monitoring structure. Each player privately learns the state over time but cannot observe what the opponent learned. We show that there are robust equilibria in which players eventually obtain payoffs as if the true state were common knowledge and players played a "belief-free" equilibrium. We also provide explicit equilibrium constructions in various economic examples. Copyright 2014, Oxford University Press.

Date: 2014
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The Review of Economic Studies is currently edited by Thomas Chaney, Xavier d’Haultfoeuille, Andrea Galeotti, Bård Harstad, Nir Jaimovich, Katrine Loken, Elias Papaioannou, Vincent Sterk and Noam Yuchtman

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