publication . Article . 2018

Beyond replicator dynamics: From frequency to density dependent models of evolutionary games

Vlastimil Křivan; Theodore E. Galanthay; Ross Cressman;
Open Access
  • Published: 14 Oct 2018
  • Publisher: Elsevier BV
Abstract
Abstract Game theoretic models of evolution such as the Hawk–Dove game assume that individuals gain fitness (which is a proxy of the per capita population growth rate) in pair-wise contests only. These models assume that the equilibrium distribution of phenotypes involved (e.g., Hawks and Doves) in the population is given by the Hardy–Weinberg law, which is based on instantaneous, random pair formation. On the other hand, models of population dynamics do not consider pairs, newborns are produced by singles, and interactions between phenotypes or species are described by the mass action principle. This article links game theoretic and population approaches. It sh...
Subjects
arXiv: Quantitative Biology::Populations and Evolution
free text keywords: Applied Mathematics, General Agricultural and Biological Sciences, General Immunology and Microbiology, General Biochemistry, Genetics and Molecular Biology, Modelling and Simulation, General Medicine, Statistics and Probability, Population size, Birth–death process, Population, education.field_of_study, education, Stochastic game, Evolutionary game theory, Population growth, Mathematics, Replicator equation, Mathematical economics, Nash equilibrium, symbols.namesake, symbols
Funded by
EC| FourCmodelling
Project
FourCmodelling
Conflict, Competition, Cooperation and Complexity: Using Evolutionary Game Theory to model realistic populations
  • Funder: European Commission (EC)
  • Project Code: 690817
  • Funding stream: H2020 | MSCA-RISE
Validated by funder
,
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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Article . 2018
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Article . 2018
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Article . 2018
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