Game theory and its applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Tokyo ; Heidelberg ; New York ; Dordrecht ; London
Springer
[2016]
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiv, 268 Seiten Illustrationen, Diagramme |
| ISBN: | 9784431547853 9784431547860 |
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Record in the Search Index
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| adam_text | Contents
1 Introduction........................................................ 1
Part I Noncooperative Games
2 Discrete Static Games............................................... 7
2.1 Examples of Two-Person Finite Games........................... 7
2.2 General Description of Two-Person Finite Games............... 14
2.3 A-person Finite Games........................................ 19
3 Continuous Static Games............................................ 21
3.1 Examples of Two-Person Continuous Games...................... 22
3.2 Examples of A-Person Continuous Games........................ 41
4 Relation to Other Mathematical Problems............................ 49
4.1 Nonlinear Optimization....................................... 49
4.2 Fixed Point Problems......................................... 50
5 Existence of Equilibria............................................ 53
5.1 General Existence Conditions................................. 53
5.2 Bimatrix and Matrix Games.................................... 57
5.3 Mixed Extensions of N-person Finite Games.................... 61
5.4 Multiproduct Oligopolies..................................... 62
6 Computation of Equilibria.......................................... 65
6.1 Application of the Kuhn-Tucker Conditions.................... 65
6.2 Reduction to an Optimization Problem......................... 68
6.3 Solution of Bimatrix Games................................... 70
6.4 Solution of Matrix Games..................................... 74
6.5 Solution of Oligopolies...................................... 77
7 Special Matrix Games............................................... 81
7.1 Matrix with Identical Elements.............................. 81
7.2 The Case of Diagonal Matrix................................ 81
7.3 Symmetric Matrix Games...................................... 83
7.4 Relation Between Matrix Games and Linear Programming. ... 84
7.5 Method of Fictitious Play................................... 89
7.6 Method of von Neumann....................................... 92
8 Uniqueness of Equilibria........................................... 97
9 Repeated and Dynamic Games........................................ 105
9.1 Leader-Follower Games...................................... 105
9.2 Dynamic Games with Simultaneous Moves...................... 110
9.3 Dynamic Games with Sequential Moves........................ 115
9.4 Extensive Forms of Dynamic Games........................... 123
9.5 Subgames and Subgame-Perfect Nash Equilibria............... 125
10 Games Under Uncertainty........................................... 127
10.1 Static Bayesian Games...................................... 131
10.2 Dynamic Bayesian Games..................................... 134
Part II Cooperative Games
11 Solutions Based on Characteristic Functions......................... 143
11.1 The Core....................................................... 150
11.2 Stable Sets.................................................... 155
11.3 The Nucleolus.................................................. 156
11.4 The Shapley Values............................................. 160
11.5 The Kernel and the Bargaining Set.............................. 164
12 Conflict Resolution.................................................. 169
12.1 The Nash Bargaining Solution................................... 171
12.2 Alternative Solution Concepts.................................. 175
12.3 N-person Conflicts............................................. 182
13 Multiobjective Optimization.......................................... 185
13.1 Lexicographic Method........................................... 188
13.2 The ¿֊constraint Method...................................... 190
13.3 The Weighting Method........................................... 191
13.4 Distance-Based Methods......................................... 194
13.5 Direction-Based Methods........................................ 196
14 Social Choice.................................................... 199
14.1 Methods with Symmetrie Players........................... 199
14.2 Methods with Powers of Players........................... 203
15 Case Studies and Applications.................................. 209
15.1 A Salesman’s Dilemma...................................... 209
15.2 Oligopoly in Water Management........................... 213
15.3 A Forestry Management Problem............................. 214
15.4 International Fishing..................................... 216
15.5 A Water Distribution Problem.............................. 219
15.6 Control in Oligopolies.................................... 223
15.7 Effect of Information Lag in Oligopoly.................. 226
Appendix A: Vector and Matrix Norms.................................. 231
Appendix B: Convexity, Concavity..................................... 235
Appendix C: Optimum Conditions....................................... 239
Appendix D: Fixed Point Theorems..................................... 243
Appendix E: Monotonie Mappings....................................... 247
Appendix F: Duality in Linear Programming............................ 251
Appendix G: Multiobjective Optimization.............................. 253
Appendix H: Stability and Controllability............................ 257
References........................................................... 261
Index................................................................ 265
|
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| id | DE-604.BV042048046 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:11:21Z |
| institution | BVB |
| isbn | 9784431547853 9784431547860 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027489194 |
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| physical | xiv, 268 Seiten Illustrationen, Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| spelling | Matsumoto, Akio 1962- (DE-588)140629882 aut Game theory and its applications Akio Matsumoto ; Ferenc Szidarovszky Tokyo ; Heidelberg ; New York ; Dordrecht ; London Springer [2016] © 2016 xiv, 268 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Spieltheorie (DE-588)4056243-8 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Anwendung (DE-588)4196864-5 s b DE-604 Szidarovszky, Ferenc 1945- (DE-588)121012158 aut Erscheint auch als Online-Ausgabe 978-4-431-54786-0 Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027489194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Matsumoto, Akio 1962- Szidarovszky, Ferenc 1945- Game theory and its applications Spieltheorie (DE-588)4056243-8 gnd Anwendung (DE-588)4196864-5 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4196864-5 |
| title | Game theory and its applications |
| title_auth | Game theory and its applications |
| title_exact_search | Game theory and its applications |
| title_full | Game theory and its applications Akio Matsumoto ; Ferenc Szidarovszky |
| title_fullStr | Game theory and its applications Akio Matsumoto ; Ferenc Szidarovszky |
| title_full_unstemmed | Game theory and its applications Akio Matsumoto ; Ferenc Szidarovszky |
| title_short | Game theory and its applications |
| title_sort | game theory and its applications |
| topic | Spieltheorie (DE-588)4056243-8 gnd Anwendung (DE-588)4196864-5 gnd |
| topic_facet | Spieltheorie Anwendung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027489194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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