RT Journal Article
SR Electronic
T1 Ordering structured populations in multiplayer cooperation games
JF bioRxiv
FD Cold Spring Harbor Laboratory
SP 021550
DO 10.1101/021550
A1 Jorge Peña
A1 Bin Wu
A1 Arne Traulsen
YR 2015
UL http://biorxiv.org/content/early/2015/11/30/021550.abstract
AB 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 is greater than population structure in the containment or the volume order, then 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.