A course in game theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Verl. der Augustinus-Buchh.
1992
|
| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Aachener Beiträge zur Mathematik
Bd. 6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 148 S. graph. Darst. 21 cm |
| ISBN: | 3860730878 |
Internformat
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| 245 | 1 | 0 | |a A course in game theory |c by Hans Peters ; Koos Vrieze |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Aachen |b Verl. der Augustinus-Buchh. |c 1992 | |
| 300 | |a 148 S. |b graph. Darst. |c 21 cm | ||
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| 490 | 1 | |a Aachener Beiträge zur Mathematik |v Bd. 6 | |
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS
1 INTRODUCTION X
1.1 WHAT IS GAME THEORY? . 1
1.2 EXAMPLES. 1
1.2.1 PRISONER'S DILEMMA . 1
1.2.2 BATTLE OF THE SEXES. 2
1.2.3 MATCHING PENNIES. 5
1.2.4 GLOVE GAME. 6
1.2.5 A BARGAINING GAME. 7
1.2.6 GAMES WITH INCOMPLETE INFORMATION. 8
1.3 SHORT HISTORY OF GAME THEORY. 10
1.4 SHORT OUTLINE OF THIS COURSE. 10
1.5 EXERCISE SECTION . H
1 COOPERATIVE GAME THEORY
2 N-PERSON COOPERATIVE GAMES 15
2.1 DEFINITIONS, EXAMPLES, PRELIMINARY RESULTS. 15
2.2 EXERCISE SECTION . 21
2.3 IMPUTATIONS, DOMINATION. 22
2.4 THE CORE AND THE
D
CORE. 25
3
BALANCED GAMES 35
3.1 BALANCED GAMES AND THE CORE . 35
3.2 FLOW GAMES WITH VETO CONTROL. 40
3.3 E-CORE, LEAST CORE, AND TAX CORE. 44
3.4 PROOF OF THE DUALITY THEOREM. 47
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/930645081
CONTENTS
4 THE SHAPLEY VALUE 53
4.1 THE SHAPLEY VALUE. 53
4.2 THE POTENTIAL APPROACH TO THE SHAPLEY VALUE. 63
5 BARGAINING 71
5.1 THE BARGAINING PROBLEM. 71
5.2 THE RAIFTA-KALAI-SMORODINSKY SOLUTION. 74
5.3 THE EGALITARIAN SOLUTION. 75
REFERENCES TO PART I. 79
II NONCOOPERATIVE GAME THEORY
6
INTRODUCTION 85
6.1 GAME THEORY. 85
6.2 GAMES IN NORMAL FORM. 87
7 MATRIX GAMES 91
7.1 INTRODUCTION. 91
7.2 MIXED EXTENSIONS OF MATRIX GAMES . 92
7.3 GEOMETRIC SOLUTION FOR MATRIX GAMES. 94
7.4 THE MINMAX-THEOREM FOR MATRIX GAMES . 96
7.5 STRUCTURAL PROPERTIES OF SOLUTIONS.100
7.6 SOME CLASSES OF MATRIX GAMES.108
7.7 MATRIX GAMES AND LINEAR PROGRAMMING.112
8
BIMATRIX GAMES 119
8.1 EXISTENCE OF EQUILIBRIUM POINTS.119
8.2 MATHEMATICAL PROGRAMMING APPROACH .126
8.3 REFINEMENTS OF THE EQUILIBRIUM POINT SET.128
9 REPEATED GAMES 137
9.1 INTRODUCTION.137
9.2 STRATEGIES AND CRITERIA.138
9.3 SOLUTIONS FOR REPEATED GAMES.143 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:38:31Z |
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| institution | BVB |
| isbn | 3860730878 |
| language | English |
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| physical | 148 S. graph. Darst. 21 cm |
| publishDate | 1992 |
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| series | Aachener Beiträge zur Mathematik |
| series2 | Aachener Beiträge zur Mathematik |
| spelling | Peters, Hans J. M. 1953- Verfasser (DE-588)124306349 aut A course in game theory by Hans Peters ; Koos Vrieze 1. Aufl. Aachen Verl. der Augustinus-Buchh. 1992 148 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Aachener Beiträge zur Mathematik Bd. 6 Spieltheorie (DE-588)4056243-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s DE-604 Vrieze, Koos 1947- Verfasser (DE-588)113368216 aut Aachener Beiträge zur Mathematik Bd. 6 (DE-604)BV035418410 6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016880749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4056243-8 |
| title | A course in game theory |
| title_auth | A course in game theory |
| title_exact_search | A course in game theory |
| title_exact_search_txtP | A course in game theory |
| title_full | A course in game theory by Hans Peters ; Koos Vrieze |
| title_fullStr | A course in game theory by Hans Peters ; Koos Vrieze |
| title_full_unstemmed | A course in game theory by Hans Peters ; Koos Vrieze |
| title_short | A course in game theory |
| title_sort | a course in game theory |
| topic | Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Spieltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016880749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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