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  A spatial model for selection and cooperation

Czuppon, P., & Pfaffelhuber, P. (2017). A spatial model for selection and cooperation. Journal of Applied Probability, 54(2), 522-539. doi:10.1017/jpr.2017.15.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-10A4-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-10A5-1
Genre: Journal Article

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 Creators:
Czuppon, Peter1, Author              
Pfaffelhuber, Peter, Author
Affiliations:
1Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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Free keywords: interacting particle system; voter model; cooperation; phase transition; extinction; clustering
 Abstract: We study the evolution of cooperation in an interacting particle system with two types. The model we investigate is an extension of a two-type biased voter model. One type (called defector) has a (positive) bias α with respect to the other type (called cooperator). However, a cooperator helps a neighbor (either defector or cooperator) to reproduce at rate γ. We prove that the one-dimensional nearest-neighbor interacting dynamical system exhibits a phase transition at α = γ. A special choice of interaction kernels yield that for α > γ cooperators always die out, but if γ > α, cooperation is the winning strategy.

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Language(s): eng - English
 Dates: 2017-06-222017
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1017/jpr.2017.15
BibTex Citekey: czuppon_pfaffelhuber_2017
 Degree: -

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Title: Journal of Applied Probability
  Other : JAP
  Abbreviation : J. Appl. Prob.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Cambridge : Cambridge University Press
Pages: - Volume / Issue: 54 (2) Sequence Number: - Start / End Page: 522 - 539 Identifier: ZDB: 1474599-9
ISSN: 1475-6072
ISSN: 0021-9002
CoNE: /journals/resource/1475-6072