Volume 80, Number 1, October 2007
|Number of page(s)||4|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||11 September 2007|
Cooperative behavior in a model of evolutionary snowdrift games with N-person interactions
Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University Hangzhou 310027, PRC
2 Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong Shatin, Hong Kong, China
Corresponding author: email@example.com
Accepted: 17 August 2007
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-thorder 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 agreement with theoretical results of the replicator dynamics.
PACS: 87.23.Kg – Dynamics of evolution / 02.50.Le – Decision theory and game theory / 89.75.Fb – Structures and organization in complex systems
© Europhysics Letters Association, 2007
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