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

Berger, Ulrich (2007) Two More Classes of Games with the Continuous-Time Fictitious Play Property. Games and Economic Behavior, 60 (2). pp. 247-261. ISSN 0899-8256

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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.

Item Type: Article
Additional Information: To see the final version of this paper please visit the publisher's website. Access to the published version requires a subscription.
Keywords: Fictitious Play, Learning Process, Ordinal Potential Games, Quasi-Supermodular Games
Classification Codes: JEL C72, D83
Divisions: Departments > Volkswirtschaft > Analytische Volkswirtschaftslehre
Version of the Document: Submitted
Depositing User: Gertraud Novotny
Date Deposited: 12 Jun 2017 16:57
Last Modified: 28 Jul 2017 12:15
Related URLs:
FIDES Link: https://bach.wu.ac.at/d/research/results/38604/
URI: http://epub.wu.ac.at/id/eprint/5587

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