EVOLUTIONARY GRAPHS WITH FREQUENCY DEPENDENT FITNESS-Reference-Cited by-同舟云学术

EVOLUTIONARY GRAPHS WITH FREQUENCY DEPENDENT FITNESS

Published:2009-02-10 Issue:04 Volume:23 Page:537-543
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

NIE PU-YAN¹,ZHANG PEI-AI²

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979209049905

Reference11 articles.

1. Evolutionary dynamics on graphs

2. The replicator equation on graphs

3. A simple rule for the evolution of cooperation on graphs and social networks

4. The analysis of bi-level evolutionary graphs

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Community detection based on Game Theory;Engineering Applications of Artificial Intelligence;2019-10

2. Fixation Probabilities of Evolutionary Graphs Based on the Positions of New Appearing Mutants;Journal of Applied Mathematics;2014

3. A review of evolutionary graph theory with applications to game theory;Biosystems;2012-02

4. FIXATION TIME FOR EVOLUTIONARY GRAPHS;International Journal of Modern Physics B;2010-10-30

5. Bi-level evolutionary graphs with multi-fitness;IET Systems Biology;2010-01-01