The concept of evolutionary stable strategies is extended to include density dependence. Dynamical stability is shown to follow for two-strategy games and for symmetric payoff matrices. It is conjectured that stability also results for general multi-strategy games.
Cressman, Ross, "Evolutionary Stable Strategies Depending on Population Density" (1990). Mathematics Faculty Publications. 19.
This article was originally published in Rocky Mountain Journal of Mathematics, 20(4): 873-877. (c) 1990 Rocky Mountain Mathematics Consortium