Folk Theorems, Second Version

16 Pages Posted: 18 May 2013

See all articles by Olivier Compte

Olivier Compte

Paris School of Economics (PSE); Ecole Nationale des Ponts et Chaussées (ENPC) - Centre d'Enseignement et de Recherche en Analyse Socio-Economique (CERAS)

Andrew Postlewaite

University of Pennsylvania - Department of Economics

Date Written: April 1, 2013

Abstract

Much of the repeated game literature is concerned with proving Folk Theorems. The logic of the exercise is to specify a particular game, and to explore for that game specification whether any given feasible (and individually rational) value vector can be an equilibrium outcome for some strategies when agents are sufficiently patient. A game specification includes a description of what agents observe at each stage. This is done by defining a monitoring structure, that is, a collection of probability distributions over the signals players receive (one distribution for each action profile players may play). Although this is simply meant to capture the fact that players don’t directly observe the actions chosen by others, constructed equilibria often depend on players precisely knowing these distributions, somewhat unrealistic in most problems of interest. We revisit the classic Folk Theorem for games with imperfect public monitoring, asking that incentive conditions hold not only for a precisely defined monitoring structure, but also for a ball of monitoring structures containing it. We show that efficiency and incentives are no longer compatible.

Keywords: Repeated games, folk theorem, robustness

JEL Classification: C72, C73

Suggested Citation

Compte, Olivier and Postlewaite, Andrew, Folk Theorems, Second Version (April 1, 2013). PIER Working Paper No. 13-022, Available at SSRN: https://ssrn.com/abstract=2266398 or http://dx.doi.org/10.2139/ssrn.2266398

Olivier Compte

Paris School of Economics (PSE)

48 Boulevard Jourdan
Paris, 75014 75014
France

Ecole Nationale des Ponts et Chaussées (ENPC) - Centre d'Enseignement et de Recherche en Analyse Socio-Economique (CERAS) ( email )

28, rue des Saints-Peres
75007 Paris
France

Andrew Postlewaite (Contact Author)

University of Pennsylvania - Department of Economics ( email )

Ronald O. Perelman Center for Political Science
133 South 36th Street
Philadelphia, PA 19104-6297
United States
215-898-7350 (Phone)
215-573-2057 (Fax)

HOME PAGE: http://www.econ.upenn.edu/~apostlew

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Downloads
35
Abstract Views
576
PlumX Metrics