Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5072804 | Games and Economic Behavior | 2007 | 15 Pages |
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 3Ã3 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 3Ãm and 4Ã4 quasi-supermodular games.
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Authors
Ulrich Berger,