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.

Key Words : multi-player games, evolutionarily stable strategies,
asymptotic stability, replicator dynamics, risk-dominance.

Paper in ps