The evolution of cooperation in multi-games with popularity-driven fitness calculation

Popularity-driven fitness updating rule has been confirmed to be an effective mechanism to understand the evolution of cooperation in prisoner's dilemma game (PD). Inspired by this, we explore cooperation behavior in pure dilemma and multigames with popularity-driven updating rule. And we obtain the popularity by calculating player's fitness via parameter α. Numerous simulations show that different update rules in pure PD or snowdrift (SD) dilemma perform different on promoting cooperative behavior under S, T-values by comparing with mean field results and then comparing the spatial results of various updates. While in multigames, we observe that positive α can lead cooperators grow and thrive as the proportion of SD increases. On the other hand, negative α also can enhance cooperation, but hardly dominate in the population. Meanwhile, compared with zero α (traditional version), it has a stronger impact on cooperation when SD proportion is small. As the frequency of SD increases, the situation reversed. © 2021