Introducing game theory and its applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, Fla. [u.a.]
Chapman & Hall/CRC
2024
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Discrete mathematics and its applications
28 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xiv, 273 Seiten Diagramme |
| ISBN: | 9780367507916 9781032811802 |
Internformat
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Datensatz im Suchindex
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Contents Preface vii Introduction ix 1 Combinatorial games 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 2 3 Definition of combinatorial games . Fundamental theorem of combinatorial games . Nim. Hex and other games . Tree games. Grundy functions . Bogus . Chapter summary . 1 1 6 11 17 25 27 32 40 Two-person zero-sum games 41 2.1 Games in normal form . 2.2 Saddle points and equilibrium pairs . 2.3 Maximin and minimax . 2.4 Mixed strategies . 2.5 2x2 matrix games . 2.6 2 X n, m X 2. and 3x3 matrix games. 2.7 Linear programming. 2.8 Chapter summary . 41 43 47 52 64 68 78 86 Solving two-person zero-sum games using LP 87 3.1 3.2 3.3 3.4
3.5 3.6 3.7 3.8 3.9 Perfect canonical linear programming problems. The simplex method. Pivoting . The perfect phase of the simplex method . The Big Λί method . Bland's rules to prevent cycling . Duality and the simplex method. Solution of game matrices. Chapter summary . 87 90 94 95 98 102 107 110 116
Contents 4 Non-zero-sum games and k-person games 117 4.1 The general setting . 4.2 Nash equilibria. 4.3 Graphical method for 2 x 2 matrix games. 4.4 Inadequacies of Nash equilibria and cooperative games . . . 4.5 The Nash arbitration procedure . 4.6 Games with two or more players . 4.7 Coalitions. 4.8 Games in coalition form. 4.9 The Shapley value. 4.10 The Banzhaf power index. 4.11 Imputations . 4.12 Strategic equivalence . 4.13 Stable sets . 4.14 Chapter summary . 117 120 124 137 143 149 152 155 158 162 163 166 167 169 5 Imperfect information games 5.1 5.2 5.3 5.4 5.5 6 Thegeneralsetting . Complete information games in extensive form . Imperfect information games in extensive form
. Games with random effects. Chapter summary . Computer solutions to games 6.1 6.2 6.3 6.4 6.5 6.6 Zero-sum games — invertible matrices. Zero-sum games — linear program problem (LP). Linear programming capability — Python with PuLP . Non-zero sum games — linear complementarity problem (LCP) Special game packages . Chapter summary . Appendices Appendix Appendix Appendix Appendix Appendix Appendix Appendix A В C D E F G Utility theory Nash’s theorem Finite probability theory Calculus and differentiation Linear algebra Linear programming Named games and game data 170 170 170 173 174 181 182 182 187 193 194 197 204 205 205 208 210 220 222 228 236 Answers to selected exercises 245 Bibliography 263 Index 269 |
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| isbn | 9780367507916 9781032811802 |
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| series2 | Discrete mathematics and its applications |
| spelling | Mendelson, Elliott 1931- Verfasser (DE-588)121929035 aut Introducing game theory and its applications Elliott Mendelson Second edition Boca Raton, Fla. [u.a.] Chapman & Hall/CRC 2024 xiv, 273 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Discrete mathematics and its applications 28 Includes bibliographical references and index Jeux, Théorie des Speltheorie gtt Toepassingen gtt Game theory Spieltheorie (DE-588)4056243-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Spieltheorie (DE-588)4056243-8 s b DE-604 Erscheint auch als Online-Ausgabe 978-1-00-305127-5 Discrete mathematics and its applications 28 (DE-604)BV023551867 28 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035259577&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mendelson, Elliott 1931- Introducing game theory and its applications Discrete mathematics and its applications Jeux, Théorie des Speltheorie gtt Toepassingen gtt Game theory Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4151278-9 |
| title | Introducing game theory and its applications |
| title_auth | Introducing game theory and its applications |
| title_exact_search | Introducing game theory and its applications |
| title_full | Introducing game theory and its applications Elliott Mendelson |
| title_fullStr | Introducing game theory and its applications Elliott Mendelson |
| title_full_unstemmed | Introducing game theory and its applications Elliott Mendelson |
| title_short | Introducing game theory and its applications |
| title_sort | introducing game theory and its applications |
| topic | Jeux, Théorie des Speltheorie gtt Toepassingen gtt Game theory Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Jeux, Théorie des Speltheorie Toepassingen Game theory Spieltheorie Einführung |
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