Book Stability Concept of Evolutionary Game Theory (9783540554196) (Book 17047710),
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Stability Concept of Evolutionary Game Theory (9783540554196)

  • The book provides a thorough analysis of the theoreticalproperties of evolutionarily stable strategies (ESS's) infour models of evolutionary biology that are all based onindividual selection principles. These models range from thestandard frequency-dependent evolutionary game theory modelof a single species to more recent models that includedensity-dependent and/or two-species frequency-dependentinteractions. The book is unique in that it emphasizes bothstatic and dynamic aspects of the ESS conditions. Ofparticular interest to game theorists will be thecorrespondence between dynamic stability in the biologicalsystem and either the Nash equilibrium of non-cooperativegame theory or the core solution concept of cooperative gametheory. The book is the first to consider, in detail, thegame-theoretic effects of contestant information andtwo-species interactions. Of major significance toevolutionary biologists are the dynamic consequences, onthe evolutionary process, of territorial ownership orrepeated interactions between the same individuals.The book is intended as a text/reference for students/re-searchers in either discipline(evolutionary biology or gametheory) who have a minimum mathematical maturity of a seniorundergraduate.
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