We extend the notion of Evolutionarily Stable Strategies introduced by Maynard Smith and Price (Nature 246:15–18, <CitationRef CitationID="CR6">1973</CitationRef>) for models ruled by a single fitness matrix A, to the framework of stochastic games developed by Lloyd Shapley (Proc. Natl. Acad. Sci. USA 39:1095–1100, <CitationRef CitationID="CR13">1953</CitationRef>) where, at...</citationref></citationref>