Evolutionary stable strategies in n-player mixed games

We study evolutionary stable strategies (ESSs) for monomorphic populations of individuals which use the strategies from the same set in games of various order. Following the lines introduced by other authors, we investigate a ‘subtle structure’ of ESSs for such games, using the notion of the level of ESS. We consider in particular the 2-strategies, n-player mixed games, and discuss structures of the set of ESSs for various examples of 2-strategies 3-player games.