Game Theoretical Foundations of Evolutionary Stability:
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 wer...
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Beteiligte Personen: | , |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1989
|
Ausgabe: | 1st ed. 1989 |
Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
324 |
Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-642-45660-2 https://doi.org/10.1007/978-3-642-45660-2 |
Zusammenfassung: | 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 |
Umfang: | 1 Online-Ressource (VI, 145 p) |
ISBN: | 9783642456602 |
DOI: | 10.1007/978-3-642-45660-2 |
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Datensatz im Suchindex
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adam_text | |
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author | Bomze, Immanuel M. Pötscher, Benedikt M. |
author_facet | Bomze, Immanuel M. Pötscher, Benedikt M. |
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dewey-ones | 330 - Economics |
dewey-raw | 330.1 |
dewey-search | 330.1 |
dewey-sort | 3330.1 |
dewey-tens | 330 - Economics |
discipline | Mathematik Wirtschaftswissenschaften |
doi_str_mv | 10.1007/978-3-642-45660-2 |
edition | 1st ed. 1989 |
format | Electronic eBook |
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spelling | Bomze, Immanuel M. Verfasser aut Game Theoretical Foundations of Evolutionary Stability by Immanuel M. Bomze, Benedikt M. Pötscher 1st ed. 1989 Berlin, Heidelberg Springer Berlin Heidelberg 1989 1 Online-Ressource (VI, 145 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 324 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 Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Dynamisches System (DE-588)4013396-5 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Evolution (DE-588)4071050-6 gnd rswk-swf Evolutionstheorie (DE-588)4071051-8 gnd rswk-swf Evolutionstheorie (DE-588)4071051-8 s Spieltheorie (DE-588)4056243-8 s DE-604 Evolution (DE-588)4071050-6 s Stabilität (DE-588)4056693-6 s Dynamisches System (DE-588)4013396-5 s Pötscher, Benedikt M. aut Erscheint auch als Druck-Ausgabe 9783540507666 Erscheint auch als Druck-Ausgabe 9783642456619 https://doi.org/10.1007/978-3-642-45660-2 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Bomze, Immanuel M. Pötscher, Benedikt M. Game Theoretical Foundations of Evolutionary Stability Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Dynamisches System (DE-588)4013396-5 gnd Spieltheorie (DE-588)4056243-8 gnd Stabilität (DE-588)4056693-6 gnd Evolution (DE-588)4071050-6 gnd Evolutionstheorie (DE-588)4071051-8 gnd |
subject_GND | (DE-588)4013396-5 (DE-588)4056243-8 (DE-588)4056693-6 (DE-588)4071050-6 (DE-588)4071051-8 |
title | Game Theoretical Foundations of Evolutionary Stability |
title_auth | Game Theoretical Foundations of Evolutionary Stability |
title_exact_search | Game Theoretical Foundations of Evolutionary Stability |
title_full | Game Theoretical Foundations of Evolutionary Stability by Immanuel M. Bomze, Benedikt M. Pötscher |
title_fullStr | Game Theoretical Foundations of Evolutionary Stability by Immanuel M. Bomze, Benedikt M. Pötscher |
title_full_unstemmed | Game Theoretical Foundations of Evolutionary Stability by Immanuel M. Bomze, Benedikt M. Pötscher |
title_short | Game Theoretical Foundations of Evolutionary Stability |
title_sort | game theoretical foundations of evolutionary stability |
topic | Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Dynamisches System (DE-588)4013396-5 gnd Spieltheorie (DE-588)4056243-8 gnd Stabilität (DE-588)4056693-6 gnd Evolution (DE-588)4071050-6 gnd Evolutionstheorie (DE-588)4071051-8 gnd |
topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Dynamisches System Spieltheorie Stabilität Evolution Evolutionstheorie |
url | https://doi.org/10.1007/978-3-642-45660-2 |
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