The Stability Concept of Evolutionary Game Theory: A Dynamic Approach (Lecture Notes In Biomathematics) - Couverture souple

Cressman, Ross

 
9783540554196: The Stability Concept of Evolutionary Game Theory: A Dynamic Approach (Lecture Notes In Biomathematics)

Synopsis

The book provides a thorough analysis of the theoretical properties of evolutionarily stable strategies (Ess's) in four models of evolutionary biology that are all based on individual selection principles. These models range from the standard frequency-dependent evolutionary game theory model of a single species to more recent models that include density-dependent and/or two-species frequency-dependent interactions. The book is unique in that it emphasizes both static and dynamic aspects of the Ess conditions. Of particular interest to game theorists will be the correspondence between dynamic stability in the biological system and either the Nash equilibrium of non-cooperative game theory or the core solution concept of cooperative game theory. The book is the first to consider, in detail, the game-theoretic effects of contestant information and two-species interactions. Of major significance to evolutionary biologists are the dynamic consequences, on the evolutionary process, of territorial ownership or repeated interactions between the same individuals. The book is intended as a text/reference for students/re- searchers in either discipline(evolutionary biology or game theory) who have a minimum mathematical maturity of a senior undergraduate.

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Présentation de l'éditeur

The book provides a thorough analysis of the theoretical properties of evolutionarily stable strategies (Ess's) in four models of evolutionary biology that are all based on individual selection principles. These models range from the standard frequency-dependent evolutionary game theory model of a single species to more recent models that include density-dependent and/or two-species frequency-dependent interactions. The book is unique in that it emphasizes both static and dynamic aspects of the Ess conditions. Of particular interest to game theorists will be the correspondence between dynamic stability in the biological system and either the Nash equilibrium of non-cooperative game theory or the core solution concept of cooperative game theory. The book is the first to consider, in detail, the game-theoretic effects of contestant information and two-species interactions. Of major significance to evolutionary biologists are the dynamic consequences, on the evolutionary process, of territorial ownership or repeated interactions between the same individuals. The book is intended as a text/reference for students/re- searchers in either discipline(evolutionary biology or game theory) who have a minimum mathematical maturity of a senior undergraduate.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780387554198: The Stability Concept of Evolutionary Game Theory: A Dynamic Approach

Edition présentée

ISBN 10 :  038755419X ISBN 13 :  9780387554198
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