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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Title: Breaking the Symmetry Between Interaction and Replacement in Evolutionary Dynamics on Graphs
Author: Ohtsuki, Hisashi; Nowak, Martin A.; Pacheco, Jorge M.

Note: Order does not necessarily reflect citation order of authors.

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).
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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.
Published Version: doi:10.1103/PhysRevLett.98.108106
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4065629

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  • FAS Scholarly Articles [6463]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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