Evolutionary foundations of aggregate-taking behavior (Q1404160)

Let \((N,u(s))\) be asymmetric normal form game symmetric aggregate-taking equilibrium \(s_*\) of this game satisfies the conditions for a generalized Walrasian equilibrium, where each player at \(s^*\) takes aggregate behavior as given. A symmetric evolutionary equilibrium \(s^\wedge\) has the property that no mutation from \(s^\wedge\) does better than \(s^\wedge\) in a population playing \(S^\wedge\). The paper gives necessary and sufficient conditions for an interior symmetric aggregate-taking equilibrium \(s^*\) to be a symmetric evolutionary equilibrium \(s^\wedge\).