Fictitious play in 2×n games |
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Authors: | Ulrich Berger |
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Affiliation: | Department VW 5, Vienna University of Economics, Augasse 2-6, A-1090 Vienna, Austria |
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Abstract: | It is known that every discrete-time fictitious play process approaches equilibrium in nondegenerate 2×2 games, and that every continuous-time fictitious play process approaches equilibrium in nondegenerate 2×2 and 2×3 games. It has also been conjectured that convergence to the set of equilibria holds generally for nondegenerate 2×n games. We give a simple geometric proof of this for the continuous-time process, and also extend the result to discrete-time fictitious play. |
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Keywords: | C72 D83 |
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