City Research Online

Abstract

We consider a finite population of individuals that can move through a structured environment using our previously developed flexible evolutionary framework. In the current paper the behaviour of the individuals follows a Markov movement model where decisions about whether they should stay or leave depends upon the group of individuals they are with at present. The interaction between individuals is modelled using a public goods game. We demonstrate that cooperation can evolve when there is a cost associated with movement. Combining the movement cost with a larger population size has a positive effect on the evolution of cooperation. Moreover, increasing the exploration time, which is the amount of time an individual is allowed to explore its environment, also has a positive effect. Unusually, we find that the evolutionary dynamics used does not have a significant effect on these results.

Publication Type:	Article
Additional Information:	This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series B following peer review. The definitive publisher-authenticated version Pattni, K., Broom, M. and Rychtar, J. (2018). Evolving multiplayer networks: Modelling the evolution of cooperation in a mobile population. Discrete & Continuous Dynamical Systems - B, 23(5), pp. 1975-2004. is available online at: http://www.aimsciences.org/article/doi/10.3934/dcdsb.2018191
Publisher Keywords:	Evolutionary game theory, evolutionary Markov chains, evolutionary graph theory
Subjects:	H Social Sciences > HB Economic Theory Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Departments:	School of Science & Technology > Mathematics
SWORD Depositor:	Symplectic Administrator

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