Cooperative Behavior in a Model of Evolutionary Snowdrift Games with $N$-person Interactions

Abstract

We propose a model of evolutionary snowdrift game with $N$-person interactions and study the effects of multi-person interactions on the emergence of cooperation. An exact $N$-th-order equation for the equilibrium density of cooperators $x^{\ast }$ is derived for a well-mixed population using the approach of replicator dynamics. The results show that the extent of cooperation drops with increasing cost-to-benefit ratio and the number $N$ of interaction persons in a group, with $x^{\ast }\sim 1/N$ for large $N$. An algorithm for numerical simulations is constructed for the model. The simulation results are in good agreements with theoretical results of the replicator dynamics.

4 pages, 2 figures

References in corpus (4)

• Co-evolution of strategy and structure in complex networks with dynamical linking
• Dynamical Organization of Cooperation in Complex Topologies
• Memory-Based Snowdrift Game on Networks
• Networking Effects on Cooperation in Evolutionary Snowdrift Game