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Game Theoretical Foundations of Evolutionary Stability: 324 (Lecture Notes in Economics and Mathematical Systems, 324) - Softcover
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.
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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.
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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 Stabi
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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
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Springer Berlin Heidelberg, Springer Feb 1989, 1989
ISBN 10: 3540507663
ISBN 13: 9783540507666
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: 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. Seller Inventory # 9783540507666
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Game Theoretical Foundations of Evolutionary Stability
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Game Theoretical Foundations of Evolutionary Stability
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Condition: New. Print on Demand pp. 160 6 Figures, 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. Seller Inventory # 44792706
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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
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Condition: New. PRINT ON DEMAND pp. 160. Seller Inventory # 1848022615
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Game Theoretical Foundations of Evolutionary Stability
Published by
Springer Berlin Heidelberg, 1989
ISBN 10: 3540507663
ISBN 13: 9783540507666
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Softcover
Seller: moluna, Greven, Germany
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Condition: 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. Seller Inventory # 4891708
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