| Issue |
EPL
Volume 80, Number 1, October 2007
|
|
|---|---|---|
| Article Number | 18002 | |
| Number of page(s) | 4 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/80/18002 | |
| Published online | 11 September 2007 | |
Cooperative behavior in a model of evolutionary snowdrift games with N-person interactions
1
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: dfzheng@zju.edu.cn
Received:
28
June
2007
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-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 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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