The Nash-threats folk theorem with communication and approximate common knowledge in two player games

We show that the use of communications to coordinate equilibria generates a Nash-threats folk theorem in two-player games with “almost public†information. The results generalize to the n -person case. However, the two-person case is more difficult because it is not possible to sustain equilibria by comparing the reports of different players, and using these “third parties†to effectively enforce contracts.

[1]  Ichiro Obara,et al.  Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring , 2002, J. Econ. Theory.

[2]  Stephen Morris,et al.  Repeated Games with Almost-Public Monitoring , 2002, J. Econ. Theory.

[3]  Tadashi Sekiguchi Efficiency in Repeated Prisoner's Dilemma with Private Monitoring , 1997 .

[4]  Elchanan Ben-Porath,et al.  Communication in Repeated Games with Private Monitoring , 1996 .

[5]  Hitoshi Matsushima On the theory of repeated games with private information. Part II: revelation through communication , 1991 .

[6]  Masaki Aoyagi Collusion in Dynamic Bertrand Oligopoly with Correlated Private Signals and Communication , 2002, J. Econ. Theory.

[7]  R. Myerson MULTISTAGE GAMES WITH COMMUNICATION , 1984 .

[8]  Ichiro Obara Folk theorem with communication , 2009, J. Econ. Theory.

[9]  R. Porter,et al.  NONCOOPERATIVE COLLUSION UNDER IMPERFECT PRICE INFORMATION , 1984 .

[10]  Olivier Compte Communication in repeated games with imperfect private monitoring , 1998 .

[11]  F. Forges Published by: The , 2022 .

[12]  Jeffrey C. Ely,et al.  A Robust Folk Theorem for the Prisoner's Dilemma , 2002, J. Econ. Theory.

[13]  Richard P. McLean,et al.  Informational Smallness and Private Monitoring in Repeated Games , 2005 .

[14]  Michihiro Kandori,et al.  Private Observation, Communication and Collusion , 1998 .

[15]  G. Mailath,et al.  Repeated Games and Reputations , 2006 .

[16]  D. Fudenberg,et al.  Digitized by the Internet Archive in 2011 with Funding from Working Paper Department of Economics the Folk Theorem with Imperfect Public Information , 2022 .

[17]  Glenn Ellison Cooperation in the Prisoner's Dilemma with Anonymous Random Matching , 1994 .

[18]  Michihiro Kandori,et al.  Introduction to Repeated Games with Private Monitoring , 2002, J. Econ. Theory.

[19]  Michele Piccione,et al.  The Repeated Prisoner's Dilemma with Imperfect Private Monitoring , 2002, J. Econ. Theory.