Breaking the Symmetry Between Interaction and Replacement in Evolutionary Dynamics on Graphs

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Breaking the Symmetry Between Interaction and Replacement in Evolutionary Dynamics on Graphs

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dc.contributor.author Ohtsuki, Hisashi
dc.contributor.author Nowak, Martin A.
dc.contributor.author Pacheco, Jorge M.
dc.date.accessioned 2010-05-12T15:04:42Z
dc.date.issued 2007
dc.identifier.citation Ohtsuki, Hisashi, Martin A. Nowak, Jorge M. Pacheco. 2007. Breaking the symmetry between interaction and replacement in evolutionary dynamics on graphs. Physical Review Letters 98(10). en_US
dc.identifier.issn 0031-9007 en_US
dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:4065629
dc.description.abstract We study the evolution of cooperation modeled as symmetric 2×2 games in a population whose structure is split into an interaction graph defining who plays with whom and a replacement graph specifying evolutionary competition. We find it is always harder for cooperators to evolve whenever the two graphs do not coincide. In the thermodynamic limit, the dynamics on both graphs is given by a replicator equation with a rescaled payoff matrix in a rescaled time. Analytical results are obtained in the pair approximation and for weak selection. Their validity is confirmed by computer simulations. en_US
dc.description.sponsorship Mathematics en_US
dc.description.sponsorship Organismic and Evolutionary Biology en_US
dc.language.iso en_US en_US
dc.publisher American Physical Society en_US
dc.relation.isversionof doi:10.1103/PhysRevLett.98.108106 en_US
dash.license LAA
dc.title Breaking the Symmetry Between Interaction and Replacement in Evolutionary Dynamics on Graphs en_US
dc.type Journal Article en_US
dc.description.version Accepted Manuscript en_US
dc.relation.journal Physical Review Letters en_US
dash.depositing.author Nowak, Martin A.
dc.date.available 2010-05-12T15:04:42Z

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  • FAS Scholarly Articles [7106]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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