A Survey of Replicator Equations

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2501 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2501 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2501 archive 351 disk0/00/00/24/61 2016-01-15 01:54:46 2021-08-27 17:11:49 2016-01-15 01:54:46 monograph show 2 Sigmund K. 1050 A Survey of Replicator Equations pub iis_met prog_sds This survey of the "state of the art" of replicator dynamics covers recent developments in the theory of the difference and differential equations which describe the evolution of population frequencies under the influence of selection. Mathematical models of this type play a central role in population genetics, ecology, prebiotic evolution and ethology. They introduce a dynamic element into the theory of normal form games and may also be applied to models of learning and economic evolution. The mathematical aspects considered include fixed-point analysis, the notions of permanence and exclusion, the gradient systems obtained by the introduction of certain Riemann metrics, Hopf bifurcations, and relations with game-theoretical concepts. This research was undertaken as part of the Feasibility Study on the Dynamics of Macrosystems in the System and Decision Sciences Program. 1984-07 published WP-84-057 WP-84-057 282 public working_paper IIASA, Laxenburg, Austria 25 FALSE info:eu-repo/semantics/book