A minority game with bounded recall
Renault, Jérôme; Scarsini, Marco; Tomala, Tristan (2007), A minority game with bounded recall, Mathematics of Operations Research, 32, 4, p. 873-889. http://dx.doi.org/10.1287/moor.1070.0284
TypeArticle accepté pour publication ou publié
Journal nameMathematics of Operations Research
MetadataShow full item record
Abstract (EN)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.
Subjects / Keywordsfolk theorem; de Bruijn sequence; imperfect monitoring; uniform equilibrium; public equilibrium; private equilibrium
Showing items related by title and author.