Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economi

Bomze, Immanuel M.

ISBN 10: 3540507663 / ISBN 13: 9783540507666

Published by Springer, 1989

About this Item

Aufl. 1989, Bibliotheksexemplar * Einband: leichte Lagerspuren * Schnitt: stark nachgedunkelt * Seiten: leichte Lesespuren, stark nachgedunkelt.

Seller Inventory # AN-6SHS-Y5NT

Bibliographic Details

• Title: Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economi
• Publisher: Springer
• Publication Date: 1989
• Language: English
• ISBN 10: 3540507663
• ISBN 13: 9783540507666
• Binding: Taschenbuch
• Condition: Ausreichend

About this title

Synopsis

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.