title: Repeated games and direct reciprocity under active linking.
abstract: Direct reciprocity relies on repeated encounters between the same two individuals. Here we examine the evolution of cooperation under direct reciprocity in dynamically structured populations. Individuals occupy the vertices of a graph, undergoing repeated interactions with their partners via the edges of the graph. Unlike the traditional approach to evolutionary game theory, where individuals meet at random and have no control over the frequency or duration of interactions, we consider a model in which individuals differ in the rate at which they seek new interactions. Moreover, once a link between two individuals has formed, the productivity of this link is evaluated. Links can be broken off at different rates. Whenever the active dynamics of links is sufficiently fast, population structure leads to a simple transformation of the payoff matrix, effectively changing the game under consideration, and hence paving the way for reciprocators to dominate defectors. We derive analytical conditions for evolutionary stability.
authors: ATP-Group and CFTC, Departamento de Física da Faculdade de Ciências, P-1649-003 Lisboa Codex, Portugal. pacheco@cii.fc.ul.pt
authors: Jorge M
authors: JM
authors: Pacheco
authors: Arne
authors: A
authors: Traulsen
authors: Hisashi
authors: H
authors: Ohtsuki
authors: Martin A
authors: MA
authors: Nowak
mesh_terms: D000818:Animals; D005075:Biological Evolution; D003299:Cooperative Behavior; D005716:Game Theory; D008957:Models, Genetic; D011157:Population Dynamics