Evolutionary Analysis of Effective Time Steps in Well-Mixed Multi-Agent Snowdrift Game

摘要

We discuss the evolution of cooperation in well-mixed multi-agent snowdrift game through replicator dynamics. By carrying on the theoretical analysis to the effective time steps in the evolutionary process, we design two competitive factors-factor P represents the cost to cooperate and factor Q represents the risk of defection, and analyse the effect of the two factors on the system which switches from inbalance to balance. We design the mimic evolutionary algorithm of strategies and carry on the simulation whose results are consistent with the numerical solutions.