A first course on zero-sum repeated games:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Paris ; Berlin ; Heidelberg ; New York ; Barcelone ; Hong Kong ;
Springer
2002
|
| Series: | Mathématiques & applications
37 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 195 - 201 |
| Physical Description: | XV, 204 S. graph. Darst. : 24 cm |
| ISBN: | 3540430288 |
Staff View
MARC
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| 245 | 1 | 0 | |a A first course on zero-sum repeated games |c Sylvain Sorin |
| 264 | 1 | |a Paris ; Berlin ; Heidelberg ; New York ; Barcelone ; Hong Kong ; |b Springer |c 2002 | |
| 300 | |a XV, 204 S. |b graph. Darst. : 24 cm | ||
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Record in the Search Index
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| adam_text | Table of Contents
1 Introduction and examples 1
1.1 Two person zero sum matrix games 1
1.2 On the use of information 3
1.3 On the notion of value in long games 6
1.4 Miscellaneous 9
1.5 Notes 13
2 Games with incomplete information 15
2.1 Presentation 15
2.2 Concavity 16
2.3 Approachable vectors 19
2.4 Dual game 21
2.5 Notes 23
3 Repeated games with lack of information
on one side 25
3.1 Presentation 25
3.2 Basic properties 28
3.3 Preliminary results 32
3.4 Asymptotic approach 34
3.5 Recursive structure and operator approach 38
3.6 Infinite game 45
3.7 Comments and extensions 48
3.8 Exercises 53
3.9 Notes 54
4 Repeated games with lack of information
on both sides 55
4.1 Presentation 55
4.2 Basic properties 55
4.3 Infinite game 57
4.4 Asymptotic approach 60
4.5 The functional equation 64
4.6 Recursive structure and operator approach 68
4.7 Comments and extensions 78
XIV Table of Contents
4.8 Exercises 82
4.9 Notes 87
5 Stochastic games 89
5.1 Presentation 89
5.2 Compact games: existence 90
5.3 Big Match 93
5.4 Finite case: algebraic approach 98
5.5 Absorbing games: asymptotic approach 99
5.6 Infinite game: the value 101
5.7 Markov decision processes 104
5.8 Comments and extensions 113
5.9 Exercices 114
5.10 Notes 117
6 Advances 119
6.1 Presentation 119
6.2 Incomplete information: symmetric case 119
6.3 Incomplete information games with no signals 126
6.4 Stochastic games with signals 132
6.5 Stochastic games with incomplete information 135
6.6 Notes 148
Appendices
A: Minmax theorems and duality 151
A.I Definitions 151
A.2 Elementary approach 151
A.3 Sion s theorem and applications 156
A.4 Convexity and separation 158
A.5 Mixed extension 159
A.6 Purification 159
A.7 The value operator and the derived game 160
A.8 Fenchel s duality 162
A.9 Comments 164
B: Approachability theory 165
C: Operators and repeated games 173
C. 1 Non expansive mappings 173
C.2 Bounded variation 177
C.3 Approximate fixed points 178
C.4 Repeated games: Recursive structure and operators 180
D: Kuhn s Theorem for repeated games 191
Table of Contents XV
References 195
Index 203
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:00:54Z |
| institution | BVB |
| isbn | 3540430288 |
| language | English |
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| physical | XV, 204 S. graph. Darst. : 24 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series | Mathématiques & applications |
| series2 | Mathématiques & applications |
| spelling | Sorin, Sylvain Verfasser aut A first course on zero-sum repeated games Sylvain Sorin Paris ; Berlin ; Heidelberg ; New York ; Barcelone ; Hong Kong ; Springer 2002 XV, 204 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Mathématiques & applications 37 Literaturverz. S. 195 - 201 Juegos bipersonales de suma cero Speltheorie gtt Two-person zero-sum games Zweipersonen-Nullsummenspiel (DE-588)4191246-9 gnd rswk-swf Zweipersonen-Nullsummenspiel (DE-588)4191246-9 s DE-604 Mathématiques & applications 37 (DE-604)BV006642035 37 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009793406&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sorin, Sylvain A first course on zero-sum repeated games Mathématiques & applications Juegos bipersonales de suma cero Speltheorie gtt Two-person zero-sum games Zweipersonen-Nullsummenspiel (DE-588)4191246-9 gnd |
| subject_GND | (DE-588)4191246-9 |
| title | A first course on zero-sum repeated games |
| title_auth | A first course on zero-sum repeated games |
| title_exact_search | A first course on zero-sum repeated games |
| title_full | A first course on zero-sum repeated games Sylvain Sorin |
| title_fullStr | A first course on zero-sum repeated games Sylvain Sorin |
| title_full_unstemmed | A first course on zero-sum repeated games Sylvain Sorin |
| title_short | A first course on zero-sum repeated games |
| title_sort | a first course on zero sum repeated games |
| topic | Juegos bipersonales de suma cero Speltheorie gtt Two-person zero-sum games Zweipersonen-Nullsummenspiel (DE-588)4191246-9 gnd |
| topic_facet | Juegos bipersonales de suma cero Speltheorie Two-person zero-sum games Zweipersonen-Nullsummenspiel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009793406&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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