Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economics and Mathematical Systems) - Couverture souple
Synopsis
This book provides a systematic treatment of the mathematical aspects of evolutionary stability, which has become a central concept in theoretical biology and biomathematics in recent years. The purpose of the book is to create a general mathematical theory for evolutionary stability, which allows a unified treatment of the seemingly unrelated case by case studies currently dominating the literature on this subject. This goal is achieved by laying out the framework for a general game theoretical model containing the models considered in the literature as special cases. Furthermore, conditions for evolutionary stability and for a stricter stability concept are explored. Apart from the general discussion, these stability concepts are studied extensively in some important classes of evolutionary games, which have been investigated in the literature. The relation between evolutionary stability and the replicator dynamics is also discussed.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This book provides a systematic treatment of the mathematical aspects of evolutionary stability, which has become a central concept in theoretical biology and biomathematics in recent years. The purpose of the book is to create a general mathematical theory for evolutionary stability, which allows a unified treatment of the seemingly unrelated case by case studies currently dominating the literature on this subject. This goal is achieved by laying out the framework for a general game theoretical model containing the models considered in the literature as special cases. Furthermore, conditions for evolutionary stability and for a stricter stability concept are explored. Apart from the general discussion, these stability concepts are studied extensively in some important classes of evolutionary games, which have been investigated in the literature. The relation between evolutionary stability and the replicator dynamics is also discussed.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Game Theoretical Foundations of Evolutionary Stability Lecture Notes in Economics and Mathematical Systems 324
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Springer, 1989
ISBN 10 : 3540507663
ISBN 13 : 9783540507666
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Broschiert
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Broschiert. Etat : Gut. 145 Seiten Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.).Buchschnitt und Seitenränder alters-/papierbedingt angebräunt; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Sprache: Englisch Gewicht in Gramm: 260. N° de réf. du vendeur 1452616
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Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economics and Mathematical Systems, 324)
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Game theoretical foundations of evolutionary stability. Benedikt M. Pötscher, Lecture notes in economics and mathematical systems
ISBN 10 : 3540507663
ISBN 13 : 9783540507666
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kart. Etat : Gut. VI, 145 S. : graph. Darst. , 24 cm Versand am folgenden Arbeitstag mit Rechnung daily shipping worldwide with invoice ex library Altersfreigabe FSK ab 0 Jahre Sprache: Deutsch Gewicht in Gramm: 550. N° de réf. du vendeur 152333
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Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economics and Mathematical Systems, 324)
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Game Theoretical Foundations of Evolutionary Stability
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Game Theoretical Foundations of Evolutionary Stability
Edité par
Springer Berlin Heidelberg, Springer Feb 1989, 1989
ISBN 10 : 3540507663
ISBN 13 : 9783540507666
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These Lecture Notes arose from discussions we had over a working paper written by the first author in fall 1987. We decided then to write a short paper about the basic structure of evolutionary stability and found ourselves ending up with a book manuscript. Parts of the material contained herein were presented in a seminar at the Department of Mathematics at the University of Vienna, as well as at a workshop on evolutionary game theory in Bielefeld. The final version of the manuscript has certainly benefitted from critical comments and suggestions by the participants of both the seminar and the workshop. Thanks are also due to S. Bomze-de Barba, R. Burger, G. Danninger, J. Hofbauer, R. Selten, K. Sigmund, G. Stiastny and F. Weising. The co-operation of W. Muller from Springer Verlag, Heidelberg, is gratefully acknowledged. Vienna, November 1988 Immanuel M. Bomze Benedikt M. Potscher III Contents 1. Introduction 1 2. Strategies and payoffs 5 2. 1. A general setting for evolutionary game theory 6 2. 2. Mixed strategies and population games 8 2. 3. Finite number of strategies . . . . . 13 2. 4. Infinitely many (pure) strategies 15 2. 5. Structured populations: asymmetric contests and multitype games 17 2. 6. Additional remarks . . . . . . . . . . . . . . . . . . . . . 21 3. Evolutionary stability 25 3. 1. Definition of evolutionary stability 25 3. 2. Evolutionary stability and solution concepts in classical game theory 30 3. 3. Conditions for evolutionary stability based on the normal cone 31 3. 4. 160 pp. Englisch. N° de réf. du vendeur 9783540507666
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Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economics and Mathematical Systems)
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Game Theoretical Foundations of Evolutionary Stability
Edité par
Springer Berlin Heidelberg, 1989
ISBN 10 : 3540507663
ISBN 13 : 9783540507666
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. These Lecture Notes arose from discussions we had over a working paper written by the first author in fall 1987. We decided then to write a short paper about the basic structure of evolutionary stability and found ourselves ending up with a book manuscript. N° de réf. du vendeur 4891708
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Game Theoretical Foundations of Evolutionary Stability
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 1989, 1989
ISBN 10 : 3540507663
ISBN 13 : 9783540507666
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -These Lecture Notes arose from discussions we had over a working paper written by the first author in fall 1987. We decided then to write a short paper about the basic structure of evolutionary stability and found ourselves ending up with a book manuscript. Parts of the material contained herein were presented in a seminar at the Department of Mathematics at the University of Vienna, as well as at a workshop on evolutionary game theory in Bielefeld. The final version of the manuscript has certainly benefitted from critical comments and suggestions by the participants of both the seminar and the workshop. Thanks are also due to S. Bomze-de Barba, R. Burger, G. Danninger, J. Hofbauer, R. Selten, K. Sigmund, G. Stiastny and F. Weising. The co-operation of W. Muller from Springer Verlag, Heidelberg, is gratefully acknowledged. Vienna, November 1988 Immanuel M. Bomze Benedikt M. Potscher III Contents 1. Introduction 1 2. Strategies and payoffs 5 2. 1. A general setting for evolutionary game theory 6 2. 2. Mixed strategies and population games 8 2. 3. Finite number of strategies . . . . . 13 2. 4. Infinitely many (pure) strategies 15 2. 5. Structured populations: asymmetric contests and multitype games 17 2. 6. Additional remarks . . . . . . . . . . . . . . . . . . . . . 21 3. Evolutionary stability 25 3. 1. Definition of evolutionary stability 25 3. 2. Evolutionary stability and solution concepts in classical game theory 30 3. 3. Conditions for evolutionary stability based on the normal cone 31 3. 4.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 160 pp. Englisch. N° de réf. du vendeur 9783540507666
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Game Theoretical Foundations of Evolutionary Stability
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - These Lecture Notes arose from discussions we had over a working paper written by the first author in fall 1987. We decided then to write a short paper about the basic structure of evolutionary stability and found ourselves ending up with a book manuscript. Parts of the material contained herein were presented in a seminar at the Department of Mathematics at the University of Vienna, as well as at a workshop on evolutionary game theory in Bielefeld. The final version of the manuscript has certainly benefitted from critical comments and suggestions by the participants of both the seminar and the workshop. Thanks are also due to S. Bomze-de Barba, R. Burger, G. Danninger, J. Hofbauer, R. Selten, K. Sigmund, G. Stiastny and F. Weising. The co-operation of W. Muller from Springer Verlag, Heidelberg, is gratefully acknowledged. Vienna, November 1988 Immanuel M. Bomze Benedikt M. Potscher III Contents 1. Introduction 1 2. Strategies and payoffs 5 2. 1. A general setting for evolutionary game theory 6 2. 2. Mixed strategies and population games 8 2. 3. Finite number of strategies . . . . . 13 2. 4. Infinitely many (pure) strategies 15 2. 5. Structured populations: asymmetric contests and multitype games 17 2. 6. Additional remarks . . . . . . . . . . . . . . . . . . . . . 21 3. Evolutionary stability 25 3. 1. Definition of evolutionary stability 25 3. 2. Evolutionary stability and solution concepts in classical game theory 30 3. 3. Conditions for evolutionary stability based on the normal cone 31 3. 4. N° de réf. du vendeur 9783540507666
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