Two More Classes of Games with the Fictitious Play Property

Ulrich Berger

Game Theory and Information from University Library of Munich, Germany

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 some important classes of games, including weighted potential games, supermodular games with diminishing returns, and 3x3 supermodular games. Extending these results, we establish convergence for ordinal potential games and quasi-supermodular games with diminishing returns. As a by-product we obtain convergence for 3xm and 4x4 quasi-supermodular games.

Keywords: Fictitious Play; Learning Process; Ordinal Potential Games; Quasi-Supermodular Games (search for similar items in EconPapers)
JEL-codes: C72 D83 (search for similar items in EconPapers)
Pages: 17 pages
Date: 2004-08-31
New Economics Papers: this item is included in nep-mic
Note: Type of Document - pdf; pages: 17
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpga:0408003

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