Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9726379 | Journal of Economic Theory | 2005 | 16 Pages |
Abstract
It is known that every discrete-time fictitious play process approaches equilibrium in nondegenerate 2Ã2 games, and that every continuous-time fictitious play process approaches equilibrium in nondegenerate 2Ã2 and 2Ã3 games. It has also been conjectured that convergence to the set of equilibria holds generally for nondegenerate 2Ãn 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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Authors
Ulrich Berger,