EVOLUTIONARY AND DYNAMIC STABILITY IN SYMMETRIC EVOLUTIONARY GAMES WITH TWO INDEPENDENT DECISIONS

A two-decision competition model is developed where players may choose different strategies at different decisions knowing that their payoff at one decision is not affected by their performance at the other. It is shown that both static solution concepts of Nash and evolutionarily stable equilibria for the two-decision model are directly related to those of the separate decisions. Furthermore, if there are at most two pure strategies at each decision, dynamic stability can also be characterised through a separate analysis of each decision. However, when there are more than two strategies, this last statement is not always true.