publication . Other literature type . Article . 2018

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

Křivan, Vlastimil; Galanthay, Theodore E.; Cressman, Ross;
Open Access
  • Published: 14 Oct 2018
  • Publisher: Zenodo
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...
arXiv: Quantitative Biology::Populations and Evolution
free text keywords: General Biochemistry, Genetics and Molecular Biology, Modelling and Simulation, Statistics and Probability, General Immunology and Microbiology, Applied Mathematics, General Agricultural and Biological Sciences, General Medicine, Mathematics, Population growth, Nash equilibrium, symbols.namesake, symbols, Stochastic game, Population size, Birth–death process, Population, education.field_of_study, education, Mathematical economics, Replicator equation, Evolutionary game theory
Funded by
EC| 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
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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Article . 2018
Provider: Datacite
Other literature type . 2018
Provider: Datacite
Article . 2018
Provider: ZENODO
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