Two More Classes of Games with the Continuous-Time Fictitious Play Property

Publikation: Wissenschaftliche FachzeitschriftOriginalbeitrag in FachzeitschriftBegutachtung

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Abstract

Fictitious Play is the oldest and most studied learning process for games. Since the already classical result for zero-sum games, convergence of beliefs to the set of Nash equilibria has been established for several classes of games, including weighted potential games, supermodular games with diminishing returns, and 3×3 supermodular games. Extending these results, we establish convergence of Continuous-time Fictitious Play for ordinal potential games and quasi-supermodular games with diminishing returns. As a by-product we obtain convergence for 3×m and 4×4 quasi-supermodular games.
OriginalspracheEnglisch
Seiten (von - bis)247 - 261
FachzeitschriftGames and Economic Behavior
Jahrgang60
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - 2007

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