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Indexed by:Journal Papers

Date of Publication:2015-12-21

Journal:JOURNAL OF THEORETICAL BIOLOGY

Included Journals:SCIE、PubMed、Scopus

Volume:387

Page Number:214-220

ISSN No.:0022-5193

Key Words:Evolutionary game dynamics; Evolution of co-operation; Stochastic dynamics; Fixation time

Abstract:We combined the standard Moran and Fermi process into a mixed process with two strategies C (cooperation) and D (defection). In a well-mixed population of size N+M, N individuals have the same update mechanism as that of Moran process, while the other M individuals have the same update mechanism as that of Fermi process. We obtain the balance equations of the conditional fixation time and unconditional fixation time. What these equations are doing is to make numerical sense for all the figures. We find that the expectation values of conditional fixation times of a single co-operator are smaller than the average values of the standard Moran and Fermi process. In addition, the conditional fixation time of a single co-operator with update rule of Moran is larger than that of Fermi when the intensity of selection is sufficiently small. The simulation results show that the unconditional fixation time of a co-operator who obtains more information is smaller. In addition, the larger the difference of individuals' payoff, the smaller the unconditional fixation time. (C) 2015 Elsevier Ltd. All rights reserved.