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Springer Series in Game Theory, Official Series of the Game Theory Society
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The Theory of Extensive Form Games / Carlos Alós-Ferrer / Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer (2016)
Titre : The Theory of Extensive Form Games Type de document : document électronique Auteurs : Carlos Alós-Ferrer ; Klaus Ritzberger ; SpringerLink (Online service) Editeur : Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer Année de publication : 2016 Collection : Springer Series in Game Theory, Official Series of the Game Theory Society, ISSN 1868-517X Importance : XV, 239 p Présentation : online resource ISBN/ISSN/EAN : 978-3-662-49944-3 Langues : Anglais (eng) Tags : Game theory Economic theory Economics Economic Theory Quantitative Economics Mathematical Methods Game Theory Social and Behav. Sciences Résumé : This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis Note de contenu : Introduction -- Game Trees -- Pseudotrees and Order Theory -- Extensive Decision Problems -- Extensive Forms -- Discrete Extensive Forms -- Equilibrium -- A Mathematical Appendix Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=123662 The Theory of Extensive Form Games [document électronique] / Carlos Alós-Ferrer ; Klaus Ritzberger ; SpringerLink (Online service) . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2016 . - XV, 239 p : online resource. - (Springer Series in Game Theory, Official Series of the Game Theory Society, ISSN 1868-517X) .
ISBN : 978-3-662-49944-3
Langues : Anglais (eng)
Tags : Game theory Economic theory Economics Economic Theory Quantitative Economics Mathematical Methods Game Theory Social and Behav. Sciences Résumé : This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis Note de contenu : Introduction -- Game Trees -- Pseudotrees and Order Theory -- Extensive Decision Problems -- Extensive Forms -- Discrete Extensive Forms -- Equilibrium -- A Mathematical Appendix Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=123662