Silverman's game: a special class of two-person Zero Sum games
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin u.a.
Springer
1995
|
| Series: | Lecture notes in economics and mathematical systems
424 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 283 S. graph. Darst. |
| ISBN: | 3540592326 |
Staff View
MARC
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| 245 | 1 | 0 | |a Silverman's game |b a special class of two-person Zero Sum games |c Gerald A. Heuer ; Ulrike Leopold-Wildburger |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1995 | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Foreword v
Table of Contents vii
Preface ix
Chapter 1. Introduction. 1
Survey of prior work. 2
The payoff function and expected payoffs. 3
The sequences {pk} and {vk} 4
The sequences {V^} and {f/jt}. 6
Equivalent variations. 7
Chapter 2. Silverman s game on intervals:
preliminaries. 9
The key mixed strategies. 11
Chapter 3. Intervals with equal left endpoints or equal
right endpoints. 20
The regions LAn, and equal right endpoints. 25
Casel. [(1,5)] x [(1,5)]. j 45
Case 2. [(l,B)]x[(l,n)],l B n. | , 47
Case 3. [(1,5)] x [(A, 5)], 1 A B. ; ) 50
Chapter 4. Intervals with no common endpoints. 56
Case 4. [(1,5)] x [(A, £)], 1 A B D. ( ( ) ) 56
Case 5. [(1, D)] x [(A, B)], 1 A B D. ( ( } ) 59
Case 6. [(1,5)] x [{A,D)], 1 5 A D. ( , 72
Appendix. Multisimilar distributions. 74
Chapter 5. Reduction by dominance. 77
Type A dominance. 77
Type B dominance. 81
Type C dominance. 83
Type D dominance. 85
Semi reduced games. 86
Chapter 6. The further reduction of semi reduced
games. 92
Games with M = 1. (Reduction to 2 x 2.) 95
Games with M = 0 which reduce to odd order. 99
Games with M = 0 which reduce to even order. 118
Chapter 7. The symmetric discrete game. 133
The symmetric game with v 1. 133
The symmetric game with v v^ 140
Chapter 8. The disjoint discrete game. 156
The disjoint game with v 1. 156
The disjoint game with v 1. 177
Chapter 9. Irreducibility and solutions of the
odd order reduced games. 185
The reduced game matrix A and the associated matrix B. 185
The polynomial sequences. 190
The odd order game of type (i). 194
The odd order game of type (ii). 202
The odd order game of type (in). 209
The odd order game of type (iv). 210
Chapter 10. Irreducibility and solutions of the
even order reduced games. 218
The reduced game matrix A and the associated matrix B. 218
Further polynomial identities. 222
The even order game of type (i). 224
The even order games of types (ii) and (Hi). 249
The even order game of type (iv). 257
Chapter 11. Explicit solutions. 264
The game on intervals. 264
The symmetric discrete game. 265
The disjoint discrete game. 266
The reduced discrete game. 266
Semi reduced balanced discrete games with no changes
of sign on the diagonal. 266
Maximally eccentric games. 274
References 279
Index 281
|
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| author | Heuer, Gerald A. Leopold-Wildburger, Ulrike 1949- |
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| author_facet | Heuer, Gerald A. Leopold-Wildburger, Ulrike 1949- |
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| author_sort | Heuer, Gerald A. |
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| dewey-full | 519.320 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 20 519.3 |
| dewey-search | 519.3 20 519.3 |
| dewey-sort | 3519.3 220 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV010183797 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:47:59Z |
| institution | BVB |
| isbn | 3540592326 |
| language | German |
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| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Heuer, Gerald A. Verfasser aut Silverman's game a special class of two-person Zero Sum games Gerald A. Heuer ; Ulrike Leopold-Wildburger Berlin u.a. Springer 1995 X, 283 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 424 Jeux, Théorie des ram Speltheorie gtt Silverman's game Silverman-Spiel (DE-588)4273072-7 gnd rswk-swf Silverman-Spiel (DE-588)4273072-7 s DE-604 Leopold-Wildburger, Ulrike 1949- Verfasser (DE-588)122498879 aut Lecture notes in economics and mathematical systems 424 (DE-604)BV000000036 424 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006765463&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heuer, Gerald A. Leopold-Wildburger, Ulrike 1949- Silverman's game a special class of two-person Zero Sum games Lecture notes in economics and mathematical systems Jeux, Théorie des ram Speltheorie gtt Silverman's game Silverman-Spiel (DE-588)4273072-7 gnd |
| subject_GND | (DE-588)4273072-7 |
| title | Silverman's game a special class of two-person Zero Sum games |
| title_auth | Silverman's game a special class of two-person Zero Sum games |
| title_exact_search | Silverman's game a special class of two-person Zero Sum games |
| title_full | Silverman's game a special class of two-person Zero Sum games Gerald A. Heuer ; Ulrike Leopold-Wildburger |
| title_fullStr | Silverman's game a special class of two-person Zero Sum games Gerald A. Heuer ; Ulrike Leopold-Wildburger |
| title_full_unstemmed | Silverman's game a special class of two-person Zero Sum games Gerald A. Heuer ; Ulrike Leopold-Wildburger |
| title_short | Silverman's game |
| title_sort | silverman s game a special class of two person zero sum games |
| title_sub | a special class of two-person Zero Sum games |
| topic | Jeux, Théorie des ram Speltheorie gtt Silverman's game Silverman-Spiel (DE-588)4273072-7 gnd |
| topic_facet | Jeux, Théorie des Speltheorie Silverman's game Silverman-Spiel |
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