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Evolutionary and asymptotic stability in symmetric multi-player games |
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| Authors: | Maciej?Bukowski |
| Institution: | (1) Institute of Economics, Warsaw School of Economics, Aleje Niepodleg o ci 162, 02-554 Warsaw, Poland;(2) Institute of Applied Mathematics and Mechanics, Warsaw University, ul. Banacha 2, 02-097 Warsaw, Poland |
| Abstract: | We provide a classification of symmetric three-player games with two strategies and investigate evolutionary and asymptotic stability (in the replicator dynamics) of their Nash equilibria. We discuss similarities and differences between two-player and multi-player games. In particular, we construct examples which exhibit a novel behavior not found in two-player games.Received October 2001/Revised May 2003 |
| Keywords: | multi-player games evolutionarily stable strategies asymptotic stability replicator dynamics risk-dominance |
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