Fixation probabilities for the Moran process in evolutionary games with two strategies: graph shapes and large population asymptotics

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorSouza, Evandro P. de-
Autor(es): dc.creatorFerreira, Eliza M.-
Autor(es): dc.creatorNeves, Armando G. M.-
Data de aceite: dc.date.accessioned2026-02-09T12:37:07Z-
Data de disponibilização: dc.date.available2026-02-09T12:37:07Z-
Data de envio: dc.date.issued2019-04-01-
Data de envio: dc.date.issued2019-04-01-
Data de envio: dc.date.issued2019-03-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/33378-
Fonte completa do material: dc.identifierhttps://link.springer.com/article/10.1007%2Fs00285-018-1300-4-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1164922-
Descrição: dc.descriptionThis paper is based on the complete classification of evolutionary scenarios for the Moran process with two strategies given by Taylor et al. (Bull Math Biol 66(6):1621–1644, 2004. https://doi.org/10.1016/j.bulm.2004.03.004). Their classification is based on whether each strategy is a Nash equilibrium and whether the fixation probability for a single individual of each strategy is larger or smaller than its value for neutral evolution. We improve on this analysis by showing that each evolutionary scenario is characterized by a definite graph shape for the fixation probability function. A second class of results deals with the behavior of the fixation probability when the population size tends to infinity. We develop asymptotic formulae that approximate the fixation probability in this limit and conclude that some of the evolutionary scenarios cannot exist when the population size is large.-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourceJournal of Mathematical Biology-
Palavras-chave: dc.subjectMarkov chains-
Palavras-chave: dc.subjectAsymptotic analysis-
Palavras-chave: dc.subjectBirth death processes-
Palavras-chave: dc.subjectCadeias de Markov-
Palavras-chave: dc.subjectAnálise assintótica-
Palavras-chave: dc.subjectProcessos de morte de nascimento-
Título: dc.titleFixation probabilities for the Moran process in evolutionary games with two strategies: graph shapes and large population asymptotics-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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