Dynamic Stability of the Replicator Equation with Continuous Strategy Space

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/5062 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/5062 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/5062 archive 351 disk0/00/00/74/29 2016-01-15 02:17:20 2021-08-27 17:18:52 2016-01-15 02:17:20 monograph show 2 Cressman R. Dynamic Stability of the Replicator Equation with Continuous Strategy Space pub iis_ecl prog_adn We extend previous work that analyzes the stability of dynamics on probability over continuous strategy spaces. the stability concept considered is that of convergence to the equilibrium distribution in the strong topology for all initial distributions whose support is close to this equilibrium. Stability criteria involving strategy domination and local superiority are developed for equilibrium distributions that are monomorphic (i.e. the equilibrium consists of a single strategy) and for equilibrium distributions that have finite support. 2004-03 published IR-04-017 IR-04-017 public interim_report IIASA, Laxenburg, Austria 22 FALSE info:eu-repo/semantics/book