The Effect Of Strategy Retention On Cooperation Based On Multi-Game In Complex Environment

Abstract

In game theory, it is an important topic to study the emergence and maintenance of group cooperative behavior based on the theories of evolutionary game and complex network. However, in-depth analysis of cooperative behavior persistence becomes a significant challenge due to the betrayal induced by the temptation of high payoff and the difficulty of cooperation under high social dilemmas. Recent studies show that mixed strategy games and multi-game mechanics can greatly improve the ability of individuals with interactive diversity to resist temptation. Meanwhile, inspired by the fact that the games played by the agents are not strictly constant and may change according to the environment, we propose the Memory Step to explore the evolution of cooperation between the Prisoner’s Dilemma Model and the Snowdrift Model with interactive diversity in the network. Besides, we introduce the concept of Side-Game where two players can play different types of games against each other. The most advantage of this model is that it improves the intelligent decision-making ability of group behavior. With the simulation of game evolution, the effect of individual strategy maintenance and Side-Game on cooperative behavior are discussed. It is verified that in social dilemmas, through effective guiding individual strategies to remain unchanged and individuals adopt different game types, players can obviously improve their resistance to betrayal temptation and conduct cooperative behavior well.