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  Stochastic sampling of interaction partners versus deterministic payoff assignment

Woelfing, B., & Traulsen, A. (2009). Stochastic sampling of interaction partners versus deterministic payoff assignment. Journal of Theoretical Biology, 257(4), 689-695. doi:10.1016/j.jtbi.2008.12.025.

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Woelfing_JTB_2009.pdf (Publisher version), 306KB
 
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 Creators:
Woelfing, Benno1, Author           
Traulsen, Arne1, 2, Author           
Affiliations:
1Department Evolutionary Ecology, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445634              
2Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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Free keywords: Evolutionary game theory; Frequency-dependent selection; Payoff assignment; Deterministic versus stochastic payoffs; Evolutionary dynamics
 Abstract: Evolutionary game dynamics describes how successful strategies spread in a population. In well-mixed populations, the usual assumption, e.g. underlying the replicator dynamics, is that individuals obtain a payoff from interactions with a representative sample of the population. This determines their fitness. Here, we analyze a situation in which payoffs are obtained through a single interaction, so that individuals of the same type can have different payoffs. We show analytically that for weak selection, this scenario is identical to the usual approach in which an individual interacts with the whole population. For strong selection, however, differences arise that are reflected in the fixation probabilities and lead to deviating evolutionary dynamics.

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Language(s): eng - English
 Dates: 2009-04-21
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 403372
DOI: 10.1016/j.jtbi.2008.12.025
Other: 2689/S 38987
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Title: Journal of Theoretical Biology
Source Genre: Journal
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Pages: - Volume / Issue: 257 (4) Sequence Number: - Start / End Page: 689 - 695 Identifier: ISSN: 0022-5193 (print)
ISSN: 1095-8541 (online)