Cooperative behavior and phase transitions in co-evolving stag hunt game

W. Zhang, Y.S. Li, C. Xu and P.M. Hui

Physica A: Statistical Mechanics and its Applications, 2016, vol. 443, issue C, 161-169

Abstract: Cooperative behavior and different phases in a co-evolving network dynamics based on the stag hunt game is studied. The dynamical processes are parameterized by a payoff r that tends to promote non-cooperative behavior and a probability q for a rewiring attempt that could isolate the non-cooperators. The interplay between the parameters leads to different phases. Detailed simulations and a mean field theory are employed to reveal the properties of different phases. For small r, the cooperators are the majority and form a connected cluster while the non-cooperators increase with q but remain isolated over the whole range of q, and it is a static phase. For sufficiently large r, cooperators disappear in an intermediate range qL≤q≤qU and a dynamical all-non-cooperators phase results. For q>qU, a static phase results again. A mean field theory based on how the link densities change in time by the co-evolving dynamics is constructed. The theory gives a phase diagram in the q–r parameter space that is qualitatively in agreement with simulation results. The sources of discrepancies between theory and simulations are discussed.

Keywords: Co-evolving system; Stag hunt game; Cooperation; Phase diagram (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:443:y:2016:i:c:p:161-169

DOI: 10.1016/j.physa.2015.09.047

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