An Evolutionary Game With the Game Transitions Based on the Markov Process
Traditional evolutionary game models neglect the role of individual psychological variability in shaping collective cooperation dynamics. Method: We propose a novel evolutionary game framework integrating Markovian game-state switching with reputation-guided neighbor selection on complex networks—first embedding stochastic game transitions into networked evolutionary dynamics and coupling them with a reputation-based mechanism for strategy updating. Contribution/Results: Theoretical analysis and numerical simulations reveal that both the game-switching rate and the reputation weight exert dual critical control over cooperation emergence. Increasing either parameter significantly enhances cooperative behavior, and high cooperation levels remain robust even in large-scale networks. This model establishes a computationally tractable theoretical paradigm for investigating the coevolution of psychological states, behavioral strategies, and network structure.