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Research PapersNo Access

EVOLUTIONARY GRAPHS WITH FREQUENCY DEPENDENT FITNESS

Institute of Industrial Economics, Jinan University, Guangzhou, 510632, P.R. China

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and

Department of Mathematics, Jinan University, Guangzhou, 510632, P.R. China

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https://doi.org/10.1142/S0217979209049905Cited by:6 (Source: Crossref)

Abstract

Evolutionary graph theory was recently proposed by Lieberman et al. in 2005. In the previous papers about evolutionary graphs (EGs), the fitness of the residents in the EGs is in general assumed to be unity, and the fitness of a mutant is assumed to be a constant r. We aim to extend EG to general cases in this paper, namely, the fitness of a mutant is heavily dependent upon frequency. The corresponding properties for these new EGs are analyzed, and the fixation probability is obtained for large population.

This work is partially supported by National Natural Science Foundation of China (No. 10501019) and China Postdoctoral Science Foundation (No. 20060400875).

Keywords:

PACS: 02.50Ey, 02.60Pn

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Journal cover image

Vol. 23, No. 04

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History

Received 4 June 2008

Keywords