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The Folk Theorem in Repeated Games With Anonymous Random Matching

Joyee Deb, Takuo Sugaya, Alexander Wolitzky

Econometrica · 2020 · Volume 88 · Issue 3

DOI: 10.3982/ECTA16680

Abstract

We prove the folk theorem for discounted repeated games with anonymous random matching. We allow non-uniform matching, include asymmetric payoffs, and place no restrictions on the stage game other than full dimensionality. No record-keeping or communication devices—including cheap talk communication and public randomization—are necessary.

Keywords

Repeated games, random matching, folk theorem

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