When stochasticity leads to cooperation

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dc.creatorIan Magalhães Braga
dc.creatorLucas Lages Wardil
dc.date.accessioned2025-02-24T19:23:55Z
dc.date.accessioned2025-09-09T00:10:34Z
dc.date.available2025-02-24T19:23:55Z
dc.date.issued2022
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.106.014112
dc.identifier.issn2470-0053
dc.identifier.urihttps://hdl.handle.net/1843/80382
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofPhysical Review E
dc.rightsAcesso Restrito
dc.subjectDinâmica populacional
dc.subjectProcessos estocásticos
dc.subjectFísica estatística
dc.subject.otherPopulation dynamics
dc.subject.otherStochastic processes
dc.subject.otherStatistical physics
dc.subject.otherThermodynamics
dc.titleWhen stochasticity leads to cooperation
dc.typeArtigo de periódico
local.citation.issue1
local.citation.spage014112
local.citation.volume106
local.description.resumoThe evolution of cooperation has gained more attention after Smith introduced game theory in the study of evolutionary biology. Subsequent works have extensively explained this phenomenon, consistently showing the importance of spatial structure for the evolution of cooperation. Here we analyze the effect of stochasticity on the evolution of cooperation in group-structured populations. We find a simple formula for the fixation probability of cooperators and show that cooperation can be favored by selection if a condition similar to Hamilton's rule is satisfied, which is also valid for strong selection and high migration. In fact, cooperation can be favored even in the absence of population viscosity and in the limit of an infinite number of finite-size groups. We discuss the importance of stochastic fluctuations in helping cooperation. We argue that this may be a general principle because fluctuations favoring the cooperators are often much more impactful than those favoring the defectors.
local.identifier.orcidhttps://orcid.org/0000-0003-1760-7557
local.identifier.orcidhttps://orcid.org/0000-0003-2964-948X
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.106.014112

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