Detecting different joint equilibria with an evolutionary approach

Abstract

An evolutionary procedure based on nondomination with respect to the generative relation is proposed for detecting different new equilibria types. The notions of joint Pareto-Aumann, Aumann-Pareto, Nash-Aumann and Aumann-Nash equilibrium are introduced. These combinations (representing new solution concepts) may allow an approximation of how people play in real life situations. Some numerical experiments show the importance of this new equilibria types.