Articles

A Minority Game with Bounded Recall

J. Renault, M. SCARSINI, T. TOMALA

Mathematics of Operations Research

novembre 2007, vol. 32, n°4, pp.873-889

Départements : Economie et Sciences de la décision, GREGHEC (CNRS)

Mots clés : Folk theorem, de Bruijn sequence, Imperfect monitoring, Uniform equilibrium, Public equilibrium, Private equilibrium

http://ssrn.com/abstract=2019691


This paper studies a repeated minority game with public signals, symmetric bounded recall, and pure strategies. We investigate both public and private equilibria of the game with fixed recall size. We first show how public equilibria in such a repeated game can be represented as colored subgraphs of a de Bruijn graph. Then we prove that the set of public equilibrium payoffs with bounded recall converges to the set of uniform equilibrium payoffs as the size of the recall increases. We also show that private equilibria behave badly: A private equilibrium payoff with bounded recall need not be a uniform equilibrium payoff


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