Uniformly Strict Equilibrium for Repeated Games with Private Monitoring and Communication

Fuente: arXiv
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Main Authors: McLean, Richard, Obara, Ichiro, Postlewaite, Andrew
Format: Preprint
Published: 2023
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author McLean, Richard
Obara, Ichiro
Postlewaite, Andrew
author_facet McLean, Richard
Obara, Ichiro
Postlewaite, Andrew
contents Cooperation through repetition is an important theme in game theory. In this regard, various celebrated ``folk theorems'' have been proposed for repeated games in increasingly more complex environments. There has, however, been insufficient attention paid to the robustness of a large set of equilibria that is needed for such folk theorems. Starting with perfect public equilibrium as our starting point, we study uniformly strict equilibria in repeated games with private monitoring and direct communication (cheap talk). We characterize the limit equilibrium payoff set and identify the conditions for the folk theorem to hold with uniformly strict equilibrium.
format Preprint
id arxiv_https___arxiv_org_abs_2311_12242
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Uniformly Strict Equilibrium for Repeated Games with Private Monitoring and Communication
McLean, Richard
Obara, Ichiro
Postlewaite, Andrew
Theoretical Economics
Cooperation through repetition is an important theme in game theory. In this regard, various celebrated ``folk theorems'' have been proposed for repeated games in increasingly more complex environments. There has, however, been insufficient attention paid to the robustness of a large set of equilibria that is needed for such folk theorems. Starting with perfect public equilibrium as our starting point, we study uniformly strict equilibria in repeated games with private monitoring and direct communication (cheap talk). We characterize the limit equilibrium payoff set and identify the conditions for the folk theorem to hold with uniformly strict equilibrium.
title Uniformly Strict Equilibrium for Repeated Games with Private Monitoring and Communication
topic Theoretical Economics
url https://arxiv.org/abs/2311.12242