Grade Dynamics, Mixed Strategies and Gradient Systems

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3086 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3086 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3086 archive 351 disk0/00/00/30/30 2016-01-15 01:58:17 2021-08-27 17:13:05 2016-01-15 01:58:17 monograph show 2 Sigmund K. 1050 Grade Dynamics, Mixed Strategies and Gradient Systems pub iis_met prog_sds Game dynamics, as a branch of frequency dependent population genetics, leads to replicator equations. If phenotypes correspond to mixed strategies, evolution will affect the frequencies of the phenotypes and of the strategies and thus lead to two dynamical models. Some examples of this, including the sex ratio, will be discussed with the help of a non-Euclidean metric leading to a gradient system. Some other examples from population genetics and chemical kinetics confirm the usefulness of such gradients in describing evolutionary optimization. 1987-02 published WP-87-021 WP-87-021 10 282 public working_paper IIASA, Laxenburg, Austria 17 FALSE info:eu-repo/semantics/book