On evolutionarily stable sets
type: Item
instance of: scholarly article
title: On evolutionarily stable sets
zbMATH Open document ID: 0589.92011
DOI: 10.1007/BF00276549
author: Bernhard Thomas
published in: Journal of Mathematical Biology
publication date: 1985-01-01T00:00:00Z
review text: The concept of evolutionary stable strategies (ES strategies) plays a role in the discussion of certain dynamical systems (which are e.g. used for modelling evolutionary processes with frequency dependent selection). This concept is generalized by introducing so-called evolutionary stable sets (ES sets). It is shown that ES-sets are attracting for a large class of dynamical systems, i.e. after perturbation from an equilibrium the system will tend towards another equilibrium in the set. Some examples (from population biology) are given in order to demonstrate the usefulness of the ES- theory.
Mathematics Subject Classification ID: 92D15
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 91A40
zbMATH DE Number: 3948062
zbMATH Keywords: equilibrium
zbMATH Keywords: mixed-strategist models
zbMATH Keywords: evolutionary game models
zbMATH Keywords: ESS
zbMATH Keywords: population genetics
zbMATH Keywords: sexual populations
zbMATH Keywords: strategies
zbMATH Keywords: evolutionary stable strategies
zbMATH Keywords: dynamical systems
zbMATH Keywords: evolutionary stable sets
Wikidata QID: Q56047460
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00276549
OpenAlex ID: W4376522474
description: scientific article; zbMATH DE number 3948062