Berger, Ulrich. 2007. Two More Classes of Games with the Continuous-Time Fictitious Play Property. Games and Economic Behavior 60 (2), 247-261.
BibTeX
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.
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Status of publication | Published |
---|---|
Affiliation | WU |
Type of publication | Journal article |
Journal | Games and Economic Behavior |
Citation Index | SSCI |
WU Journalrating 2009 | A |
WU-Journal-Rating new | FIN-A, VW-A, WH-B |
Language | English |
Title | Two More Classes of Games with the Continuous-Time Fictitious Play Property |
Volume | 60 |
Number | 2 |
Year | 2007 |
Page from | 247 |
Page to | 261 |
Reviewed? | Y |
URL | http://dx.doi.org/10.1016/j.geb.2006.10.008 |
DOI | http://dx.doi.org/10.1016/j.geb.2006.10.008 |