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 * 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 * ∼ 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.
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