Models of conflict and cooperation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2009
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 417 S. graph. Darst. |
| ISBN: | 9780821848722 |
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MARC
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Record in the Search Index
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| adam_text | Titel: Models of conflict and cooperation
Autor: Gillman, Rick
Jahr: 2009
Contents
Preface vii
Chapter 1. Deterministic Games 1
1. A Very Simple Game 1
2. Rules of the Game 6
3. Heuristics and Strategies 17
4. Game Trees 26
5. A Solution for Nim 40
6. Theorems of Zermelo and Nash 49
Chapter 2. Player Preferences 55
1. Measurement 55
2. Ordinal Preferences 67
3. Cardinal Preferences 76
4. Ratio Scale Preferences 91
Chapter 3. Strategie Games 101
1. Tosca 101
2. Fingers and Matches 107
3. Four Solution Concepts 116
4. Once Again, Game Trees 130
5. Trees and Matrices 140
Chapter 4. Probabilistic Strategies 153
1. It s Child s Play 153
2. Mixed Strategy Solutions 160
3. Finding Solutions in 2 x 2 Games 176
4. Nash Equilibria in m x 2 Games 189
5. Zero-Sum Games 196
Chapter 5. Strategie Game Cooperation 203
1. Experiments 203
2. The Prisoners Dilemma 217
3. Resolving the Prisoners Dilemma 224
Chapter 6. Negotiation and Arbitration 235
1. A Simple Negotiation 235
2. Bargaining Games 241
3. The Egalitarian Method 255
4. The RaifFa Method 269
5. The Nash Method 278
vi CONTENTS
Chapter 7. Coalition Games 287
1. A Savings Allocation Problem 287
2. Two Properties and Five Methods 293
3. The Shapley Method 305
4. The Nucleolus Method 316
5. You Can t Always Get What You Want 329
Chapter 8. Fair Division 335
1. An Inheritance Problem 335
2. Fair Division Games and Methods 340
3. Fairness Properties 354
4. Choosing a Fair Method 361
Epilogue 371
Answers to Selected Exercises 377
Deterministic Games 377
Player Preferences 380
Strategie Games 381
Probabilistic Strategies 388
Strategie Game Cooperation 392
Negotiation and Arbitration 394
Coalition Games 397
Fair Division 401
Bibliography 409
Index 413
|
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| author | Gillman, Rick 1958- Housman, David 1957- |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035989493 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:09:07Z |
| institution | BVB |
| isbn | 9780821848722 |
| language | English |
| lccn | 2009014906 |
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| oclc_num | 699087248 |
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| physical | XI, 417 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Math. Soc. |
| record_format | marc |
| spelling | Gillman, Rick 1958- Verfasser (DE-588)140535950 aut Models of conflict and cooperation Rick Gillman ; David Housman Providence, RI American Math. Soc. 2009 XI, 417 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Game theory Decision making / Mathematical models Mathematisches Modell Spieltheorie (DE-588)4056243-8 gnd rswk-swf Verhandlungstheorie (DE-588)4139583-9 gnd rswk-swf Verhandlungstheorie (DE-588)4139583-9 s Spieltheorie (DE-588)4056243-8 s DE-604 Housman, David 1957- Verfasser (DE-588)140535969 aut Erscheint auch als Online-Ausgabe 978-1-4704-1206-7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018882233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gillman, Rick 1958- Housman, David 1957- Models of conflict and cooperation Game theory Decision making / Mathematical models Mathematisches Modell Spieltheorie (DE-588)4056243-8 gnd Verhandlungstheorie (DE-588)4139583-9 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4139583-9 |
| title | Models of conflict and cooperation |
| title_auth | Models of conflict and cooperation |
| title_exact_search | Models of conflict and cooperation |
| title_full | Models of conflict and cooperation Rick Gillman ; David Housman |
| title_fullStr | Models of conflict and cooperation Rick Gillman ; David Housman |
| title_full_unstemmed | Models of conflict and cooperation Rick Gillman ; David Housman |
| title_short | Models of conflict and cooperation |
| title_sort | models of conflict and cooperation |
| topic | Game theory Decision making / Mathematical models Mathematisches Modell Spieltheorie (DE-588)4056243-8 gnd Verhandlungstheorie (DE-588)4139583-9 gnd |
| topic_facet | Game theory Decision making / Mathematical models Mathematisches Modell Spieltheorie Verhandlungstheorie |
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