Refinements of the Nash Equilibrium Concept:
In this monograph, noncooperative games are studied. Since in a noncooperative game binding agreements are not possible, the solution of such a game has to be self enforcing, i. e. a Nash equilibrium (NASH [1950,1951J). In general, however, a game may possess many equilibria and so the problem aris...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1983
|
Ausgabe: | 1st ed. 1983 |
Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
219 |
Schlagworte: | |
Online-Zugang: | BTU01 URL des Erstveröffentlichers |
Zusammenfassung: | In this monograph, noncooperative games are studied. Since in a noncooperative game binding agreements are not possible, the solution of such a game has to be self enforcing, i. e. a Nash equilibrium (NASH [1950,1951J). In general, however, a game may possess many equilibria and so the problem arises which one of these should be chosen as the solution. It was first pointed out explicitly in SELTEN [1965J that I not all Nash equilibria of an extensive form game are qualified to be selected as the solution, since an equilibrium may prescribe irrational behavior at unreached parts of the game tree. Moreover, also for normal form games not all Nash equilibria are eligible, since an equilibrium need not be robust with respect to slight perturba tions in the data of the game. These observations lead to the conclusion that the Nash equilibrium concept has to be refined in order to obtain sensible solutions for every game. In the monograph, various refinements of the Nash equilibrium concept are studied. Some of these have been proposed in the literature, but others are presented here for the first time. The objective is to study the relations between these refine ments;to derive characterizations and to discuss the underlying assumptions. The greater part of the monograph (the chapters 2-5) is devoted to the study of normal form games. Extensive form games are considered in chapter 6 |
Beschreibung: | 1 Online-Ressource (VI, 155 p. 4 illus) |
ISBN: | 9783642499708 |
DOI: | 10.1007/978-3-642-49970-8 |
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520 | |a In this monograph, noncooperative games are studied. Since in a noncooperative game binding agreements are not possible, the solution of such a game has to be self enforcing, i. e. a Nash equilibrium (NASH [1950,1951J). In general, however, a game may possess many equilibria and so the problem arises which one of these should be chosen as the solution. It was first pointed out explicitly in SELTEN [1965J that I not all Nash equilibria of an extensive form game are qualified to be selected as the solution, since an equilibrium may prescribe irrational behavior at unreached parts of the game tree. Moreover, also for normal form games not all Nash equilibria are eligible, since an equilibrium need not be robust with respect to slight perturba tions in the data of the game. These observations lead to the conclusion that the Nash equilibrium concept has to be refined in order to obtain sensible solutions for every game. In the monograph, various refinements of the Nash equilibrium concept are studied. Some of these have been proposed in the literature, but others are presented here for the first time. The objective is to study the relations between these refine ments;to derive characterizations and to discuss the underlying assumptions. The greater part of the monograph (the chapters 2-5) is devoted to the study of normal form games. Extensive form games are considered in chapter 6 | ||
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Datensatz im Suchindex
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adam_txt | |
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author | Damme, E. van |
author_facet | Damme, E. van |
author_role | aut |
author_sort | Damme, E. van |
author_variant | e v d ev evd |
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dewey-full | 330.1 |
dewey-hundreds | 300 - Social sciences |
dewey-ones | 330 - Economics |
dewey-raw | 330.1 |
dewey-search | 330.1 |
dewey-sort | 3330.1 |
dewey-tens | 330 - Economics |
discipline | Mathematik Wirtschaftswissenschaften |
discipline_str_mv | Mathematik Wirtschaftswissenschaften |
doi_str_mv | 10.1007/978-3-642-49970-8 |
edition | 1st ed. 1983 |
format | Electronic eBook |
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spelling | Damme, E. van Verfasser aut Refinements of the Nash Equilibrium Concept by E. van Damme 1st ed. 1983 Berlin, Heidelberg Springer Berlin Heidelberg 1983 1 Online-Ressource (VI, 155 p. 4 illus) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 219 In this monograph, noncooperative games are studied. Since in a noncooperative game binding agreements are not possible, the solution of such a game has to be self enforcing, i. e. a Nash equilibrium (NASH [1950,1951J). In general, however, a game may possess many equilibria and so the problem arises which one of these should be chosen as the solution. It was first pointed out explicitly in SELTEN [1965J that I not all Nash equilibria of an extensive form game are qualified to be selected as the solution, since an equilibrium may prescribe irrational behavior at unreached parts of the game tree. Moreover, also for normal form games not all Nash equilibria are eligible, since an equilibrium need not be robust with respect to slight perturba tions in the data of the game. These observations lead to the conclusion that the Nash equilibrium concept has to be refined in order to obtain sensible solutions for every game. In the monograph, various refinements of the Nash equilibrium concept are studied. Some of these have been proposed in the literature, but others are presented here for the first time. The objective is to study the relations between these refine ments;to derive characterizations and to discuss the underlying assumptions. The greater part of the monograph (the chapters 2-5) is devoted to the study of normal form games. Extensive form games are considered in chapter 6 Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Nash-Gleichgewicht (DE-588)4171190-7 gnd rswk-swf Gleichgewichtspunkt Spieltheorie (DE-588)4213477-8 gnd rswk-swf Einheit (DE-588)4013862-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Nichtkooperatives Spiel (DE-588)4042085-1 gnd rswk-swf Rumänien (DE-588)4050939-4 gnd rswk-swf Rumänien (DE-588)4050939-4 g Einheit (DE-588)4013862-8 s Geschichte (DE-588)4020517-4 s DE-604 Nash-Gleichgewicht (DE-588)4171190-7 s Spieltheorie (DE-588)4056243-8 s Nichtkooperatives Spiel (DE-588)4042085-1 s Gleichgewichtspunkt Spieltheorie (DE-588)4213477-8 s Erscheint auch als Druck-Ausgabe 9783540126904 Erscheint auch als Druck-Ausgabe 9783642499715 https://doi.org/10.1007/978-3-642-49970-8 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Damme, E. van Refinements of the Nash Equilibrium Concept Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Nash-Gleichgewicht (DE-588)4171190-7 gnd Gleichgewichtspunkt Spieltheorie (DE-588)4213477-8 gnd Einheit (DE-588)4013862-8 gnd Spieltheorie (DE-588)4056243-8 gnd Geschichte (DE-588)4020517-4 gnd Nichtkooperatives Spiel (DE-588)4042085-1 gnd |
subject_GND | (DE-588)4171190-7 (DE-588)4213477-8 (DE-588)4013862-8 (DE-588)4056243-8 (DE-588)4020517-4 (DE-588)4042085-1 (DE-588)4050939-4 |
title | Refinements of the Nash Equilibrium Concept |
title_auth | Refinements of the Nash Equilibrium Concept |
title_exact_search | Refinements of the Nash Equilibrium Concept |
title_exact_search_txtP | Refinements of the Nash Equilibrium Concept |
title_full | Refinements of the Nash Equilibrium Concept by E. van Damme |
title_fullStr | Refinements of the Nash Equilibrium Concept by E. van Damme |
title_full_unstemmed | Refinements of the Nash Equilibrium Concept by E. van Damme |
title_short | Refinements of the Nash Equilibrium Concept |
title_sort | refinements of the nash equilibrium concept |
topic | Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Nash-Gleichgewicht (DE-588)4171190-7 gnd Gleichgewichtspunkt Spieltheorie (DE-588)4213477-8 gnd Einheit (DE-588)4013862-8 gnd Spieltheorie (DE-588)4056243-8 gnd Geschichte (DE-588)4020517-4 gnd Nichtkooperatives Spiel (DE-588)4042085-1 gnd |
topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Nash-Gleichgewicht Gleichgewichtspunkt Spieltheorie Einheit Spieltheorie Geschichte Nichtkooperatives Spiel Rumänien |
url | https://doi.org/10.1007/978-3-642-49970-8 |
work_keys_str_mv | AT dammeevan refinementsofthenashequilibriumconcept |