Spatial three-player prisoners' dilemma.
This paper extends traditional two-player prisoners' dilemma (PD) to three-player PD. We have studied spatial patterns of cooperation behaviors, growth patterns of cooperator clusters and defector clusters, and cooperation frequency of the players. It is found while three-player PD exhibits many properties similar to two-player PD, some new features arise. Specifically, (i) a new region appears, in which neither a 3x3 cooperator cluster nor a 3x3 defector cluster could grow; (ii) more growth patterns of cooperator clusters and defector clusters are identified; (iii) multiple cooperation frequencies exist in the region that exhibits dynamic chaos. Some theoretical analysis of these features is presented.
Jiang
Rui
R
School of Engineering Science, University of Science and Technology of China, Hefei, China.
Deng
Hui
H
Hu
Mao-Bin
MB
Wu
Yong-Hong
YH
Wu
Qing-Song
QS