Evolutionary and asymptotic stability in symmetric multi-player games
arXiv:q-bio/0409028
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.
21 pages, to appear in Int. J. Game Theory