Cooperative game theory and applications: cooperative games arising from combinatorial optimization problems
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Kluwer
1997
|
| Series: | [Theory and decision library / C]
16 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 190 S. graph. Darst. |
| ISBN: | 0792344766 |
Staff View
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| adam_text | IMAGE 1
COOPERATIVE GAME THEORY
AND APPLICATIONS COOPERATIVE GAMES ARISING FROM COMBINATORIAL
OPTIMIZATION PROBLEMS
BY
IMMA CURIEL
UNIVERSITY OF MARYLAND BALTIMORE COUNTY
KILL?; AEPLLISS WSMWSX |JJF ^
KLUWER ACADEMIC PUBLISHERS
BOSTON / DORDRECHT / LONDON
IMAGE 2
C O N T E N TS
P R E F A CE VLL
C O O P E R A T I VE G A M ES A ND S O L U T I ON
C O N C E P TS 1
1.1 INTRODUCTION 1
1.2 COOPERATIVE GAMES IN CHARACTERISTIC FUNCTION FORM 2
1.3 THE CORE AND THE WEBER SET 5
1.4 CONVEX GAMES AND THE MINIMARG AND MAXIMARG OPERATORS 7
1.5 THE SHAPLEY-VALUE 8
1.6 THE BARGAINING SET 10
1.7 THE (PRE-)KERNEL AND THE (PRE-)NUCLEOLUS 11
1.8 THE R-VALUE 12
1.9 SEMICONVEX AND 1-CONVEX GAMES 14
1.10 SIMPLE GAMES 15
1.11 COST GAMES 16
L I N E AR P R O G R A M M I NG G A M ES 19
2.1 INTRODUCTION 19
2.2 LINEAR PROGRAMMING GAMES 22
2.3 LINEAR PROGRAMMING GAMES WITH COMMITTEE CONTROL 31
2.4 NON-BALANCED LINEAR PROGRAMMING GAMES 37
2.5 LINEAR PROGRAMMING GAMES WITH CLAIMS 40
2.6 SIMPLE FLOW GAMES 45
A S S I G N M E NT G A M ES A ND P E R M U T A T I ON G A M ES 53
3.1 INTRODUCTION 53
IMAGE 3
VI COOPERATIVE GAME THEORY AND APPLICATIONS
3.2 ASSIGNMENT GAMES AND PERMUTATION GAMES 55
3.3 MULTI-ASSIGNMENT GAMES AND MULTI-PERMUTATION GAMES 60
3.4 ECONOMIES WITH INDIVISIBILITIES 69
3.5 ORDINAL MATCHING SITUATIONS 72
4 S E Q U E N C I NG G A M ES A ND G E N E R A L I Z A T I O NS 79
4.1 INTRODUCTION 79
4.2 SEQUENCING GAMES 80
4.3 CR-PAIRING GAMES AND R-COMPONENT ADDITIVE GAMES 103
5 T R A V E L L I NG SALESMAN G A M ES A ND R O U T I NG G A M ES 111
5.1 INTRODUCTION ,/* 111
5.2 TRAVELLING SALESMAN GAMES 113
5.3 ROUTING GAMES 121
6 M I N I M UM COST S P A N N I NG T R EE G A M ES 129
6.1 INTRODUCTION 129
6.2 MINIMUM COST SPANNING TREE GAMES 131
6.3 THE IRREDUCIBLE CORE 136
6.4 THE RESTRICTED WEIGHTED SHAPLEY-VALUE AND PERMUTATIONALLY CONCAVE
GAMES 142
6.5 GENERALIZATIONS, VARIATIONS, AND SPECIAL CASES 146
7 L O C A T I ON GAMES 149
7.1 INTRODUCTION 149
7.2 LOCATION GAMES WITH EQUAL SETUP COSTS 151
7.3 1-CONCAVE AND SEMICONCAVE LOCATION GAMES 154
7.4 SIMPLE PLANT LOCATION GAMES 158
7.5 MEDIAN GAMES WITH BUDGET CONSTRAINTS 162
7.6 CENTER GAMES WITH BUDGET CONSTRAINTS 167
R E F E R E N C ES 173
INDEX 187
|
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| 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 |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:13:19Z |
| institution | BVB |
| isbn | 0792344766 |
| language | English |
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| physical | VIII, 190 S. graph. Darst. |
| publishDate | 1997 |
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| spelling | Curiel, Imma J. Verfasser aut Cooperative game theory and applications cooperative games arising from combinatorial optimization problems by Imma Curiel Boston [u.a.] Kluwer 1997 VIII, 190 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Theory and decision library / C] 16 Lineaire programmering gtt Optimaliseren gtt Samenwerking gtt Speltheorie gtt Toepassingen gtt Combinatorial optimization Game theory Spieltheorie (DE-588)4056243-8 gnd rswk-swf Kooperatives Spiel (DE-588)4120603-4 gnd rswk-swf Kooperation (DE-588)4032386-9 gnd rswk-swf Kombinatorische Optimierung (DE-588)4031826-6 gnd rswk-swf Kooperation (DE-588)4032386-9 s Spieltheorie (DE-588)4056243-8 s DE-604 Kooperatives Spiel (DE-588)4120603-4 s Kombinatorische Optimierung (DE-588)4031826-6 s DE-188 C] [Theory and decision library 16 (DE-604)BV000736902 16 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007848179&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Curiel, Imma J. Cooperative game theory and applications cooperative games arising from combinatorial optimization problems Lineaire programmering gtt Optimaliseren gtt Samenwerking gtt Speltheorie gtt Toepassingen gtt Combinatorial optimization Game theory Spieltheorie (DE-588)4056243-8 gnd Kooperatives Spiel (DE-588)4120603-4 gnd Kooperation (DE-588)4032386-9 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4120603-4 (DE-588)4032386-9 (DE-588)4031826-6 |
| title | Cooperative game theory and applications cooperative games arising from combinatorial optimization problems |
| title_auth | Cooperative game theory and applications cooperative games arising from combinatorial optimization problems |
| title_exact_search | Cooperative game theory and applications cooperative games arising from combinatorial optimization problems |
| title_full | Cooperative game theory and applications cooperative games arising from combinatorial optimization problems by Imma Curiel |
| title_fullStr | Cooperative game theory and applications cooperative games arising from combinatorial optimization problems by Imma Curiel |
| title_full_unstemmed | Cooperative game theory and applications cooperative games arising from combinatorial optimization problems by Imma Curiel |
| title_short | Cooperative game theory and applications |
| title_sort | cooperative game theory and applications cooperative games arising from combinatorial optimization problems |
| title_sub | cooperative games arising from combinatorial optimization problems |
| topic | Lineaire programmering gtt Optimaliseren gtt Samenwerking gtt Speltheorie gtt Toepassingen gtt Combinatorial optimization Game theory Spieltheorie (DE-588)4056243-8 gnd Kooperatives Spiel (DE-588)4120603-4 gnd Kooperation (DE-588)4032386-9 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd |
| topic_facet | Lineaire programmering Optimaliseren Samenwerking Speltheorie Toepassingen Combinatorial optimization Game theory Spieltheorie Kooperatives Spiel Kooperation Kombinatorische Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007848179&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000736902 |
| work_keys_str_mv | AT curielimmaj cooperativegametheoryandapplicationscooperativegamesarisingfromcombinatorialoptimizationproblems |