The Maximum Principle for Replicator Equations

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2502 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2502 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2502 archive 351 disk0/00/00/24/62 2016-01-15 01:54:46 2021-08-27 17:11:49 2016-01-15 01:54:46 monograph show 2 Sigmund K. 1050 The Maximum Principle for Replicator Equations pub iis_met prog_sds By introducing a non-Euclidean metric on the unit simplex, it is possible to identify an interesting class of gradient systems within the ubiquitous "replicator equations" of evolutionary biomathematics. In the case of homogeneous potentials, this leads to maximum principles governing the increase of the average fitness, both in population genetics and in chemical kinetics. This research was carried out as part of the Dynamics of Macrosystems Feasibility Study in the System and Decision Sciences Program. 1984-07 published WP-84-056 WP-84-056 282 public working_paper IIASA, Laxenburg, Austria 18 FALSE info:eu-repo/semantics/book