HETEROGENEOUS INFLUENCE ADJUSTMENT CONSIDERING HISTORICAL STRATEGY PROMOTES COOPERATION IN SPATIAL PRISONER’S DILEMMA GAMES

Inspired by the phenomenon that individuals tend to make decisions after gaining enough experience from past interactions, heterogeneous influence adjustment considering historical strategy mechanism is proposed. This mechanism adjusts the node’s strategy propagation influence by comparing the multi-round game income with that of selected neighbors. The results of the spatial prisoner’s dilemma game indicate that cooperation is substantially enhanced when the mechanism strength factor [Formula: see text] and the memory length m are suitably configured. Specifically, the mechanism strength factor [Formula: see text] exhibits a positive correlation with the frequency of cooperative behavior because stronger incentives or deterrents more effectively influence individuals to adopt cooperative strategies. Furthermore, the extended memory length m contributes to an enhancement in the network’s cooperation fraction. Longer memory length diminishes the fluctuation magnitude of the cooperation fraction because longer memory allows individuals to make more informed decisions based on a more comprehensive understanding of past interactions, leading to more stable and sustained cooperative behavior.