Immune based approach to find mixed nash equilibrium in normal form games

Abstract

In this study, a new method based on artificial immune system algorithms is proposed that can find both pure Nash equilibrium and mixed Nash equilibrium normal form games. It is shown that after some generations, the density of antibodies is increased around a point which is consistent Nash equilibrium. Another important and applicable aspect of using immune based algorithm is the memory notion. Using memory naturally makes the algorithm converges to answer faster than other evolutionary based algorithm that are used to find mixed Nash equilibrium. © 2010 Asian Network for Scientific Information.