Approximating and Combining Equilibria in Non-cooperative Games

Abstract

Generative relations for different equilibria types in finite non cooperative games are proposed. These relations induce appropriate domination concepts. Using an evolutionary technique approximations for different equilibria are computed.The concept of game is extended in order to allow players to have different types of rationality. The new game allows us to combine different equilibria. Numerical experiments indicate the potential of the proposed concepts and technique and offers an inside view of the implication of the rationality in the solution concept.