Introduction to game theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon
Springer
[1996]
|
| Edition: | [2. printing] |
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 223 - 225 |
| Physical Description: | XVI, 230 S. graph. Darst. |
| ISBN: | 354094284X 038794284X |
Staff View
MARC
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| 100 | 1 | |a Morris, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to game theory |c Peter Morris |
| 250 | |a [2. printing] | ||
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon |b Springer |c [1996] | |
| 300 | |a XVI, 230 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Universitext | |
| 500 | |a Literaturverz. S. 223 - 225 | ||
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Record in the Search Index
| _version_ | 1807323645688676352 |
|---|---|
| adam_text |
CONTENTS
PREFACE
VII
LIST
OF
FIGURES
XV
1.
GAINES
IN
EXTENSIVE
FORM
1
1.1.
TREES
3
1.2.
GAME
TREES
7
1.2.1.
INFORMATION
SETS
11
1.3.
CHOICE
FUNCTIONS
AND
STRATEGIES
12
1.3.1.
CHOICE
SUBTREES
13
1.4.
GAMES
WITH
CHANCE
MOVES
20
1.4.1.
A
THEOREM
ON
PAYOFFS
22
1.5.
EQUILIBRIUM
N-TUPLES
OF
STRATEGIES
24
1.6.
NORMAL
FORMS
29
2.
TWO-PERSON
ZERO-SUM
GAMES
35
2.1.
SADDLE
POINTS
36
2.2.
MIXED
STRATEGIES
40
2.2.1.
ROW
VALUES
AND
COLUMN
VALUES
43
2.2.2.
DOMINATED
ROWS
AND
COLUMNS
48
2.3.
SMALL
GAMES
52
2.3.1.
2
X
N
AND
M
X
2
GAMES
55
2.4.
SYMMETRIC
GAMES
59
2.4.1.
SOLVING
SYMMETRIC
GAMES
60
XII
CONTENTS
3.
LINEAR
PROGRAMMING
65
3.1.
PRIMAL
AND
DUAL
PROBLEMS
65
3.1.1.
PRIMAL
PROBLEMS
AND
THEIR
DUALS
67
3.2.
BASIC
FORMS
AND
PIVOTS
71
3.2.1.
PIVOTS
72
3.2.2.
DUAL
BASIC
FORMS
75
3.3.
THE
SIMPLEX
ALGORITHM
78
3.3.1.
TABLEAUS
78
3.3.2.
THE
SIMPLEX
ALGORITHM
81
3.4.
AVOIDING
CYCLES
AND
ACHIEVING
FEASIBILITY
85
3.4.1.
DEGENERACY
AND
CYCLES
85
3.4.2.
THE
INITIAL
FEASIBLE
TABLEAU
88
3.5.
DUALITY
91
3.5.1.
THE
DUAL
SIMPLEX
ALGORITHM
92
3.5.2.
THE
DUALITY
THEOREM
95
4.
SOLVING
MATRIX
GAMES
99
4.1.
THE
MINIMAX
THEOREM
99
4.2.
SOME
EXAMPLES
104
4.2.1.
SCISSORS-PAPER-STONE
104
4.2.2.
THREE-FINGER
MORRA
106
4.2.3.
COLONEL
BLOTTO
'
S
GAME
107
4.2.4.
SIMPLE
POKER
108
5.
NON-ZERO-SUM
GAMES
115
5.1.
NONCOOPERATIVE
GAMES
116
5.1.1.
MIXED
STRATEGIES
117
5.1.2.
MAXIMIN
VALUES
119
5.1.3.
EQUILIBRIUM
N-TUPLES
OF
MIXED
STRATEGIES
120
5.1.4.
A
GRAPHICAL
METHOD
FOR
COMPUTING
EQUILIBRIUM
PAIRS
121
5.2.
SOLUTION
CONCEPTS
FOR
NONCOOPERATIVE
GAMES
124
5.2.1.
BATTLE
OF
THE
BUDDIES
126
5.2.2.
PRISONER
'
S
DILEMMA
127
5.2.3.
ANOTHER
GAME
127
5.2.4.
SUPERGAMES
128
5.3.
COOPERATIVE
GAMES
132
5.3.1.
NASH
BARGAINING
AXIOMS
134
5.3.2.
CONVEX
SETS
136
5.3.3.
NASH
'
S
THEOREM
138
CONTENTS
XIII
5.3.4.
COMPUTING
ARBITRATION
PAIRS
143
5.3.5.
REMARKS
145
6.
N-PERSON
COOPERATIVE
GAMES
149
6.1.
COALITIONS
149
6.1.1.
THE
CHARACTERISTIC
FUNCTION
150
6.1.2.
ESSENTIAL
AND
INESSENTIAL
GAMES
154
6.2.
IMPUTATIONS
156
6.2.1.
DOMINANCE
OF
IMPUTATIONS
158
6.2.2.
THE
CORE
159
6.2.3.
CONSTANT-SUM
GAMES
163
6.2.4.
A
VOTING
GAME
165
6.3.
STRATEGIC
EQUIVALENCE
167
6.3.1.
EQUIVALENCE
AND
IMPUTATIONS
169
6.3.2.
(O.L)-REDUCED
FORM
170
6.3.3.
CLASSIFICATION
OF
SMALL
GAMES
172
6.4.
TWO
SOLUTION
CONCEPTS
174
6.4.1.
STABLE
SETS
OF
IMPUTATIONS
174
6.4.2.
SHAPLEY
VALUES
178
7.
GAME-PLAYING
PROGRAMS
185
7.1.
THREE
ALGORITHMS
186
7.1.1.
THE
NAIVE
ALGORITHM
186
7.1.2.
THE
BRANCH
AND
BOUND
ALGORITHM
187
7.1.3.
THE
ALPHA-BETA
PRUNING
ALGORITHM
189
7.2.
EVALUATION
FUNCTIONS
191
7.2.1.
DEPTH-LIMITED
SUBGAMES
192
7.2.2.
MANCALA
194
7.2.3.
NINE-MEN
'
S
MORRIS
197
APPENDIX.
SOLUTIONS
201
BIBLIOGRAPHY
223
INDEX
227 |
| any_adam_object | 1 |
| author | Morris, Peter |
| author_facet | Morris, Peter |
| author_role | aut |
| author_sort | Morris, Peter |
| author_variant | p m pm |
| building | Verbundindex |
| bvnumber | BV011157792 |
| classification_rvk | CC 3200 QH 430 SK 860 |
| classification_tum | MAT 920f |
| ctrlnum | (OCoLC)312888370 (DE-599)BVBBV011157792 |
| dewey-full | 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 |
| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie Wirtschaftswissenschaften |
| edition | [2. printing] |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-08-14T01:15:41Z |
| institution | BVB |
| isbn | 354094284X 038794284X |
| language | German |
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| physical | XVI, 230 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Morris, Peter Verfasser aut Introduction to game theory Peter Morris [2. printing] New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon Springer [1996] XVI, 230 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Literaturverz. S. 223 - 225 Spieltheorie (DE-588)4056243-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Spieltheorie (DE-588)4056243-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007480306&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Morris, Peter Introduction to game theory Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4123623-3 |
| title | Introduction to game theory |
| title_auth | Introduction to game theory |
| title_exact_search | Introduction to game theory |
| title_full | Introduction to game theory Peter Morris |
| title_fullStr | Introduction to game theory Peter Morris |
| title_full_unstemmed | Introduction to game theory Peter Morris |
| title_short | Introduction to game theory |
| title_sort | introduction to game theory |
| topic | Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Spieltheorie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007480306&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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