Fictitious Play in 2×n Games

Publikation: Wissenschaftliche FachzeitschriftOriginalbeitrag in FachzeitschriftBegutachtung

Abstract

It is known that every discrete-time fictitious play process approaches equilibrium in nondegenerate 2×2 games, and that every continuous-time fictitious play process approaches equilibrium in nondegenerate 2×2 and 2×3 games. It has also been conjectured that convergence to the set of equilibria holds generally for nondegenerate 2×n games. We give a simple geometric proof of this for the continuous-time process, and also extend the result to discrete-time fictitious play.
OriginalspracheEnglisch
Seiten (von - bis)139 - 154
FachzeitschriftJournal of Economic Theory
Jahrgang120
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - 2005

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