Evolutionary game dynamics of simplicial complexes with reputation heterogeneity and interaction diversity

Abstract Understanding the evolution of cooperation in structured populations remains a key challenge. To this end, we construct a multi-player snowdrift game model on simplicial complexes. In the strategy imitation process, players are endowed with edge-based strategy and reputation. Through extensive Monte Carlo simulations, it is found that increasing the weight parameter of reputation will facilitate cooperation evolution, and increasing the proportion of link-type players in the network will promote cooperation under appropriate social dilemmas. When the number of players in the game is increased from two to three, the cooperation rate of link-type players will be promoted, while the cooperation rate of node-type players will be suppressed. Our work reveals the effects of reputation and diverse interaction types in shaping cooperative evolution on networks.