title: Inclusive and personal fitness in synergistic evolutionary games on graphs.
abstract: I study the evolution of a pair of competing behavioural alleles in a finite graph-structured population when there are non-additive or "synergistic" fitness effects. I begin with the Price equation and extend it to both a personal-fitness and an inclusive-fitness formulation. I thereby obtain an extension of "Hamilton's Rule" to synergistic effects and I calculate and interpret the generalized relatedness coefficients. I present an example of the analysis in a cycle graph with 4 nodes.
authors: Department of Math & Stats, Queen's University, Kingston, ON, Canada K7L 3N6. Peter.taylor@queensu.ca
authors: Peter
authors: P
authors: Taylor
mesh_terms: D000818:Animals; D005075:Biological Evolution; D005716:Game Theory; D005787:Gene Frequency; D055641:Mathematical Concepts; D008957:Models, Genetic; D012919:Social Behavior