Analysis of Evolutionary Game Dynamics with Both Ally and Enemy Strategies

In social networks, the interrelationships between different strategies exhibit a high degree of complexity and dynamism. The strategy choices of individuals in a group are often significantly affected by changes in inter-strategy relationships. Differently from the existing three-strategy model, this paper establishes an opinion dynamics model by introducing a novel strategy. With both ally and enemy strategies, the dynamic changes of individual strategy choices are studied. Moreover, sufficient conditions are provided to guarantee the stability of the equilibrium. Finally, the theoretical analysis results are verified by the numerical simulation analysis.