Evolutionary and asymptotic stability in symmetric multi-player games

Details Evolutionary and asymptotic stability in symmetric multi-player games Evolutionary and asymptotic stability in symmetric multi-player games

2004-09-24

arxiv.org/abs/q-bio/0409028v1

Biology

Quantitative Biology

Populations and Evolution

21 pages, to appear in Int. J. Game Theory

Scientific paper

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.

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