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.
| Identifer | oai:union.ndltd.org:VIENNA/oai:epub.wu-wien.ac.at:5587 |
| Date | January 2007 |
| Creators | Berger, Ulrich |
| Publisher | Elsevier |
| Source Sets | Wirtschaftsuniversität Wien |
| Language | English |
| Detected Language | English |
| Type | Article, NonPeerReviewed |
| Format | application/pdf |
| Relation | http://dx.doi.org/10.1016/j.geb.2006.10.008, http://www.elsevier.com, http://epub.wu.ac.at/5587/ |
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