caa a22 4500 467989346 CHVBK 20180323112540.0 cr unu---uuuuu 170328e19900901xx s 000 0 eng 10.1007/BF01301675 doi (NATIONALLICENCE)springer-10.1007/BF01301675 Bomze Immanuel Institut für Statistik und Informatik, Universität Wien, Universitätsstrasse 5/9, A-1010, Wien, Austria aut Dynamical aspects of evolutionary stability [Elektronische Daten] [Immanuel Bomze] Selection is often viewed as a process that maximizes the average fitness of a population. However, there are often constraints even on the phenotypic level which may prevent fitness optimization. Consequently, in evolutionary game theory, models of frequency dependent selection are investigated, which focus on equilibrium states that are characterized by stability (or uninvadability) rather than by optimality. The aim of this article is to relate these stability notions with asymptotic stability in the so-called "replicator dynamics”, by generalizing results, which are well-known for elementary situations, to a fairly general setting applicable, e.g. to complex populations. Moreover, a purely dynamical characterization of evolutionary stability and uninvadability is presented. Springer-Verlag, 1990 Monatshefte für Mathematik Springer-Verlag 110/3-4(1990-09-01), 189-206 0026-9255 110:3-4<189 1990 110 605 https://doi.org/10.1007/BF01301675 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01301675 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bomze Immanuel Institut für Statistik und Informatik, Universität Wien, Universitätsstrasse 5/9, A-1010, Wien, Austria aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 110/3-4(1990-09-01), 189-206 0026-9255 110:3-4<189 1990 110 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer