Strict ESS for n-species systems

A system of n asexual populations is considered where both intra- and interspecific frequency-dependent game conflicts with lack of information take place. The concept of a strict n-species ESS is introduced which implies local asymptotic stability of the replicator dynamics of pure phenotypes. The dynamical concept of strict stability is also introduced which turns out to be equivalent to the strict n-species ESS concept. The above notions are also related to similar concepts considered in the literature for the same biological situation.