DETERMINISTIC EVOLUTIONARY DYNAMICS - A UNIFYING APPROACH

We tackle three components of evolutionary modelling: payoffs, dynamic al systems and equilibrium concepts, Firstly, we merely require that f itness functions are continuous, Secondly, we examine very general cla sses of dynamics. Thirdly, we give useful parallels to the Nash equili brium and the evolutionarily stable strategy. Under (weakly) sign-comp atible dynamics the change in population share of every (at least one) subgroup present in the population corresponds in sign with its relat ive fitness. At a saturated equilibrium, each subgroup with positive p opulation share has highest fitness. We examine two evolutionary stabi lity concepts: the evolutionarily stable equilibrium and the generaliz ed evolutionarily stable state.