期刊
JOURNAL OF THE ROYAL SOCIETY INTERFACE
卷 13, 期 114, 页码 -出版社
ROYAL SOC
DOI: 10.1098/rsif.2015.0881
关键词
evolutionary game theory; spatial structure; order theory; computational geometry; stochastic orders
资金
- Swiss National Science Foundation [PBLAP3-145860]
Spatial structure greatly affects the evolution of cooperation. While in two-player games the condition for cooperation to evolve depends on a single structure coefficient, in multiplayer games the condition might depend on several structure coefficients, making it difficult to compare different population structures. We propose a solution to this issue by introducing two simple ways of ordering population structures: the containment order and the volume order. If population structure S-1 is greater than population structure S-2 in the containment or the volume order, then S-1 can be considered a stronger promoter of cooperation. We provide conditions for establishing the containment order, give general results on the volume order, and illustrate our theory by comparing different models of spatial games and associated update rules. Our results hold for a large class of population structures and can be easily applied to specific cases once the structure coefficients have been calculated or estimated.
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