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The language of game theory : putting epistemics into the mathematics of games /
This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program - now called epistemic game theory...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific Publishing Company,
©2014.
|
| Colección: | World Scientific series in economic theory ;
v. 5. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Brandenburger, Adam. | |
| 245 | 1 | 4 | |a The language of game theory : |b putting epistemics into the mathematics of games / |c Adam Brandenburger. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific Publishing Company, |c ©2014. | ||
| 300 | |a 1 online resource (xxxiv, 263 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a World Scientific Series in Economic Theory | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Foreword; Contents; About the Author; Acknowledgments; Introduction; Epistemic Game Theory; Theory or Language?; Limits in Principle; Fundamental Theorem of Epistemic Game Theory; Epistemic vs. Ontic Views; Invariance and Admissibility; Questions and Directions; References; Chapter 1. An Impossibility Theorem on Beliefs in Games; 1 Introduction; 2 The Existence Problem for Complete Belief Models; 3 Belief Models; 4 Complete Belief Models; 5 Impossibility Results; 6 Assumption in Modal Logic; 7 Impossibility Results in Modal Form; 8 Strategic Belief Models. | |
| 505 | 8 | |a 9 Weakly Complete and Semi-Complete Models10 Positively and Topologically Complete Models; 11 Other Models in Game Theory; References; Chapter 2. Hierarchies of Beliefs and Common Knowledge; 1 Introduction; 2 Construction of Types; 3 Relationship to the Standard Model of Differential Information; References; Chapter 3. Rationalizability and Correlated Equilibria; 1 Introduction; 2 Correlated Rationalizability and A Posteriori Equilibria; 3 Independent Rationalizability and Conditionally Independent A Posteriori Equilibria; 4 Objective Solution Concepts; References. | |
| 505 | 8 | |a Chapter 4. Intrinsic Correlation in Games1 Introduction; 2 Intrinsic vs. Extrinsic Correlation; 3 Comparison; 4 Organization of the Chapter; 5 Type Structures; 6 The Main Result; 7 Comparison Contd.; 8 Formal Presentation; 9 CI and SUFF Formalized; 10 RCBR Formalized; 11 Main Result Formalized; 12 Conclusion; Appendices; Appendix A. CI and SUFF Contd.; Appendix B. Proofs for Section 8; Appendix C. Proofs for Section 9; Appendix D. Proofs for Section 10; Appendix E. Proofs for Section 11; Appendix F.A Finite-Levels Result; Appendix G. Independent Rationalizability. | |
| 505 | 8 | |a Appendix H. Injectivity and GenericityAppendix I. Extrinsic correlation Contd.; References; Chapter 5. Epistemic Conditions for Nash Equilibrium; 1 Introduction; 2 Interactive Belief Systems; 3 An Illustration; 4 Formal Statements and Proofs of the Results; 5 Tightness of the Results; 6 General (Infinite) Belief Systems; 7 Discussion; References; Chapter 6. Lexicographic Probabilities and Choice Under Uncertainty; 1 Introduction; 2 Subjective Expected Utility on Finite State Spaces; 3 Lexicographic Probability Systems and Non-Archimedean SEU Theory. | |
| 505 | 8 | |a 4 Admissibility and Conditional Probabilities5 Lexicographic Conditional Probability Systems; 6 A "Numerical" Representation for Non-Archimedean SEU; 7 Stochastic Independence and Product Measures; Appendix; References; Chapter 7. Admissibility in Games; 1 Introduction; 2 Heuristic Treatment; 2.1. Lexicographic probabilities; 2.2. Rationality and common assumption of rationality; 2.3. Convex combinations; 2.4. Irrationality; 2.5. Characterization of RCAR; 2.6. Iterated admissibility; 2.7. A negative result; 2.8. The ingredients; 3 SAS's and the IA Set; 4 Lexicographic Probability Systems. | |
| 500 | |a 5 Assumption. | ||
| 520 | |a This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program - now called epistemic game theory - extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determi. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Game theory. | |
| 650 | 6 | |a Théorie des jeux. | |
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| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Game theory |2 fast | |
| 650 | 7 | |a Spieltheorie |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Brandenburger, Adam. |t Language of Game Theory : Putting Epistemics into the Mathematics of Games. |d Singapore : World Scientific Publishing Company, ©2014 |z 9789814513432 |
| 830 | 0 | |a World Scientific series in economic theory ; |v v. 5. | |
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