Feb 2, 2016

Evolution of multiplayer cooperation on graphs

BioRxiv : the Preprint Server for Biology
Jorge PeñaArne Traulsen

Abstract

There has been much interest in studying evolutionary games in structured populations, often modelled as graphs. However, most analytical results so far have only been obtained for two-player or additive games, while the study of more complex multiplayer games has been usually tackled by computer simulations. Here we investigate evolutionary multiplayer games in regular graphs updated with a Moran process. Using a combination of pair approximation and diffusion approximation, we obtain an analytical condition for cooperation to be favored by natural selection, given in terms of the payoffs of the game and a set of structure coefficients. We show that, for a large class of cooperative dilemmas, graph-structured populations are stronger promoters of cooperation than populations lacking spatial structure. Computer simulations validate our results, showing that the complexity arising from many-person social interactions and spatial structure can be often captured by analytical methods.

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Mentioned in this Paper

Diffusion Weighted Imaging
Promoter
Moran a
Structure
Simulation
Graph Layout
Population Group
Athletes

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