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.
Originalsprache | Englisch |
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Seiten (von - bis) | 139 - 154 |
Fachzeitschrift | Journal of Economic Theory |
Jahrgang | 120 |
Ausgabenummer | 2 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2005 |