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A Review of Evolutionary Graph Theory With Applications to Game Theory
"... Evolutionary graph theory (EGT), studies the ability of a mutant gene to overtake a finite structured population. In this review, we describe the original framework for EGT and the major work that has followed it. This review looks at the calculation of the “fixation probability ” the probability o ..."
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Evolutionary graph theory (EGT), studies the ability of a mutant gene to overtake a finite structured population. In this review, we describe the original framework for EGT and the major work that has followed it. This review looks at the calculation of the “fixation probability ” the probability of a mutant taking over a population and focuses on gametheoretic applications. We look at varying topics such as alternate evolutionary dynamics, time to fixation, special topological cases, and game theoretic results. Throughout the review, we examine several interesting open problems that warrant further research.
Biology (whole organism)
, 2015
"... Subject Areas: applied mathematics/mathematical modelling/computational biology Keywords: graph models of populations, fixation probabilities, graph parameters Author for correspondence: ..."
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Subject Areas: applied mathematics/mathematical modelling/computational biology Keywords: graph models of populations, fixation probabilities, graph parameters Author for correspondence: