Modelling the Effects of Selection Temperature and Mutation on the Prisoner’s Dilemma Game on a Complete Oriented Star

Jianguo Ren and Yonghong Xu

PLOS ONE, 2014, vol. 9, issue 10, 1-9

Abstract: This paper models the prisoner’s dilemma game based on pairwise comparison in finite populations on a complete oriented star (COS). First, we derive a linear system on a COS for calculating the corresponding fixation probabilities that imply dependence of the selection temperature and mutation. Then we observe and analyze the effects of two parameters on fixation probability under different population sizes. In particular, it is found through the experimental results that (1) high mutation is more sensitive to the fixation probability than the low one when population size is increasing, while the opposite is the case when the number of cooperators is increasing, and (2) selection temperature demotes the fixation probability.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0107417

DOI: 10.1371/journal.pone.0107417

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