Models in cooperative game theory:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
2008
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 193 - 199 |
| Physical Description: | XI, 203 S. 24 cm |
| ISBN: | 9783540779537 9783540779544 |
Staff View
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Record in the Search Index
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| adam_text |
MODELS IN COOPERATIVE GAME THEORY CONTENTS PART I COOPERATIVE GAMES WITH
CRISP COALITIONS 1 PRELIMINARIES 5 2 CORES AND RELATED SOLUTION CONCEPTS
13 2.1 IMPUTATIONS, CORES AND STABLE SETS 13 2.2 THE CORE COVER, THE
REASONABLE SET AND THE WEBER SET . 20 3 THE SHAPLEY VALUE, THE R-VALUE,
AND THE AVERAGE LEXICOGRAPHIC VALUE 25 3.1 THE SHAPLEY VALUE 25 3.2 THE
R-VALUE 31 3.3 THE AVERAGE LEXICOGRAPHIC VALUE 33 4 EGALITARIANISM-BASED
SOLUTION CONCEPTS 37 4.1 OVERVIEW 37 4.2 THE EQUAL SPLIT-OFF SET 38
4.2.1 THE EQUAL SPLIT-OFF SET FOR GENERAL GAMES 39 4.2.2 THE EQUAL
SPLIT-OFF SET FOR SUPERADDITIVE GAMES . 41 5 CLASSES OF COOPERATIVE
CRISP GAMES 43 5.1 TOTALLY BALANCED GAMES 43 5.1.1 BASIC
CHARACTERIZATIONS AND PROPERTIES OF SOLUTION CONCEPTS 43 5.1.2 TOTALLY
BALANCED GAMES AND POPULATION MONOTONIC J ALLOCATION SCHEMES 45 5.2
CONVEX GAMES 46 5.2.1 BASIC CHARACTERIZATIONS 46 X CONTENTS 5.2.2 CONVEX
GAMES AND POPULATION MONOTONIC ALLOCATION SCHEMES 49 5.2.3 THE
CONSTRAINED EGALITARIAN SOLUTION FOR CONVEX GAMES 50 5.2.4 PROPERTIES OF
SOLUTION CONCEPTS 53 5.3 CLAN GAMES 59 5.3.1 BASIC CHARACTERIZATIONS AND
PROPERTIES OF SOLUTION CONCEPTS 59 5.3.2 TOTAL CLAN GAMES AND MONOTONIC
ALLOCATION SCHEMES 62 5.4 CONVEX GAMES VERSUS CLAN GAMES 65 5.4.1
CHARACTERIZATIONS VIA MARGINAL GAMES 66 5.4.2 DUAL TRANSFORMATIONS 68
5.4.3 THE CORE VERSUS THE WEBER SET 70 PART II COOPERATIVE GAMES WITH
FUZZY COALITIONS 6 PRELIMINARIES 77 7 SOLUTION CONCEPTS FOR FUZZY GAMES
83 7.1 IMPUTATIONS AND THE AUBIN CORE 83 7.2 CORES AND STABLE SETS 85
7.3 GENERALIZED CORES AND STABLE SETS 89 7.4 THE SHAPLEY VALUE AND THE
WEBER SET 94 7.5 PATH SOLUTIONS AND THE PATH SOLUTION COVER 96 7.6
COMPROMISE VALUES 100 8 CONVEX FUZZY GAMES 103 8.1 BASIC
CHARACTERIZATIONS 103 8.2 EGALITARIANISM IN CONVEX FUZZY GAMES 110 8.3
PARTICIPATION MONOTONIC ALLOCATION SCHEMES 116 8.4 PROPERTIES OF
SOLUTION CONCEPTS 119 9 FUZZY CLAN GAMES 127 9.1 THE CONE OF FUZZY CLAN
GAMES 127 9.2 CORES AND STABLE SETS FOR FUZZY CLAN GAMES 131 9.3
BI-MONOTONIC PARTICIPATION ALLOCATION RULES 135 CONTENTS XI PART III
MULTI-CHOICE GAMES 10 PRELIMINARIES 145 11 SOLUTION CONCEPTS FOR
MULTI-CHOICE GAMES 149 11.1 IMPUTATIONS, CORES AND STABLE SETS 149 11.2
MARGINAL VECTORS AND THE WEBER SET 155 11.3 SHAPLEY-LIKE VALUES 159 11.4
THE EQUAL SPLIT-OFF SET FOR MULTI-CHOICE GAMES 163 12 CLASSES OF
MULTI-CHOICE GAMES 165 12.1 BALANCED MULTI-CHOICE GAMES 165 12.1.1 BASIC
CHARACTERIZATIONS 165 12.1.2 TOTALLY BALANCED GAMES AND MONOTONIC
ALLOCATION SCHEMES 169 12.2 CONVEX MULTI-CHOICE GAMES 170 12.2.1 BASIC
CHARACTERIZATIONS 170 12.2.2 MONOTONIC ALLOCATION SCHEMES 173 12.2.3 THE
CONSTRAINED EGALITARIAN SOLUTION 174 12.2.4 PROPERTIES OF SOLUTION
CONCEPTS 180 12.3 MULTI-CHOICE CLAN GAMES 182 12.3.1 BASIC
CHARACTERIZATIONS 182 12.3.2 BI-MONOTONIC ALLOCATION SCHEMES 186
REFERENCES 193 INDEX 201 |
| adam_txt |
MODELS IN COOPERATIVE GAME THEORY CONTENTS PART I COOPERATIVE GAMES WITH
CRISP COALITIONS 1 PRELIMINARIES 5 2 CORES AND RELATED SOLUTION CONCEPTS
13 2.1 IMPUTATIONS, CORES AND STABLE SETS 13 2.2 THE CORE COVER, THE
REASONABLE SET AND THE WEBER SET . 20 3 THE SHAPLEY VALUE, THE R-VALUE,
AND THE AVERAGE LEXICOGRAPHIC VALUE 25 3.1 THE SHAPLEY VALUE 25 3.2 THE
R-VALUE 31 3.3 THE AVERAGE LEXICOGRAPHIC VALUE 33 4 EGALITARIANISM-BASED
SOLUTION CONCEPTS 37 4.1 OVERVIEW 37 4.2 THE EQUAL SPLIT-OFF SET 38
4.2.1 THE EQUAL SPLIT-OFF SET FOR GENERAL GAMES 39 4.2.2 THE EQUAL
SPLIT-OFF SET FOR SUPERADDITIVE GAMES . 41 5 CLASSES OF COOPERATIVE
CRISP GAMES 43 5.1 TOTALLY BALANCED GAMES 43 5.1.1 BASIC
CHARACTERIZATIONS AND PROPERTIES OF SOLUTION CONCEPTS 43 5.1.2 TOTALLY
BALANCED GAMES AND POPULATION MONOTONIC J ALLOCATION SCHEMES 45 5.2
CONVEX GAMES 46 5.2.1 BASIC CHARACTERIZATIONS 46 X CONTENTS 5.2.2 CONVEX
GAMES AND POPULATION MONOTONIC ALLOCATION SCHEMES 49 5.2.3 THE
CONSTRAINED EGALITARIAN SOLUTION FOR CONVEX GAMES 50 5.2.4 PROPERTIES OF
SOLUTION CONCEPTS 53 5.3 CLAN GAMES 59 5.3.1 BASIC CHARACTERIZATIONS AND
PROPERTIES OF SOLUTION CONCEPTS 59 5.3.2 TOTAL CLAN GAMES AND MONOTONIC
ALLOCATION SCHEMES 62 5.4 CONVEX GAMES VERSUS CLAN GAMES 65 5.4.1
CHARACTERIZATIONS VIA MARGINAL GAMES 66 5.4.2 DUAL TRANSFORMATIONS 68
5.4.3 THE CORE VERSUS THE WEBER SET 70 PART II COOPERATIVE GAMES WITH
FUZZY COALITIONS 6 PRELIMINARIES 77 7 SOLUTION CONCEPTS FOR FUZZY GAMES
83 7.1 IMPUTATIONS AND THE AUBIN CORE 83 7.2 CORES AND STABLE SETS 85
7.3 GENERALIZED CORES AND STABLE SETS 89 7.4 THE SHAPLEY VALUE AND THE
WEBER SET 94 7.5 PATH SOLUTIONS AND THE PATH SOLUTION COVER 96 7.6
COMPROMISE VALUES 100 8 CONVEX FUZZY GAMES 103 8.1 BASIC
CHARACTERIZATIONS 103 8.2 EGALITARIANISM IN CONVEX FUZZY GAMES 110 8.3
PARTICIPATION MONOTONIC ALLOCATION SCHEMES 116 8.4 PROPERTIES OF
SOLUTION CONCEPTS 119 9 FUZZY CLAN GAMES 127 9.1 THE CONE OF FUZZY CLAN
GAMES 127 9.2 CORES AND STABLE SETS FOR FUZZY CLAN GAMES 131 9.3
BI-MONOTONIC PARTICIPATION ALLOCATION RULES 135 CONTENTS XI PART III
MULTI-CHOICE GAMES 10 PRELIMINARIES 145 11 SOLUTION CONCEPTS FOR
MULTI-CHOICE GAMES 149 11.1 IMPUTATIONS, CORES AND STABLE SETS 149 11.2
MARGINAL VECTORS AND THE WEBER SET 155 11.3 SHAPLEY-LIKE VALUES 159 11.4
THE EQUAL SPLIT-OFF SET FOR MULTI-CHOICE GAMES 163 12 CLASSES OF
MULTI-CHOICE GAMES 165 12.1 BALANCED MULTI-CHOICE GAMES 165 12.1.1 BASIC
CHARACTERIZATIONS 165 12.1.2 TOTALLY BALANCED GAMES AND MONOTONIC
ALLOCATION SCHEMES 169 12.2 CONVEX MULTI-CHOICE GAMES 170 12.2.1 BASIC
CHARACTERIZATIONS 170 12.2.2 MONOTONIC ALLOCATION SCHEMES 173 12.2.3 THE
CONSTRAINED EGALITARIAN SOLUTION 174 12.2.4 PROPERTIES OF SOLUTION
CONCEPTS 180 12.3 MULTI-CHOICE CLAN GAMES 182 12.3.1 BASIC
CHARACTERIZATIONS 182 12.3.2 BI-MONOTONIC ALLOCATION SCHEMES 186
REFERENCES 193 INDEX 201 |
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| spelling | Brânzei, Rodica 1949- Verfasser (DE-588)123916860 aut Models in cooperative game theory Rodica Branzei ; Dinko Dimitrov ; Stef Tijs 2. ed. Berlin ; Heidelberg Springer 2008 XI, 203 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 193 - 199 Mathematisches Modell Ökonometrisches Modell Econometric models Game theory Mathematical models Spieltheorie (DE-588)4056243-8 gnd rswk-swf Kooperatives Spiel (DE-588)4120603-4 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Kooperatives Spiel (DE-588)4120603-4 s DE-604 Dimitrov, Dinko Verfasser aut Tijs, Stef 1937-2023 Verfasser (DE-588)124826989 aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3056839&prov=M&dok_var=1&dok_ext=htm Inhaltstext HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016749653&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brânzei, Rodica 1949- Dimitrov, Dinko Tijs, Stef 1937-2023 Models in cooperative game theory Mathematisches Modell Ökonometrisches Modell Econometric models Game theory Mathematical models Spieltheorie (DE-588)4056243-8 gnd Kooperatives Spiel (DE-588)4120603-4 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4120603-4 |
| title | Models in cooperative game theory |
| title_auth | Models in cooperative game theory |
| title_exact_search | Models in cooperative game theory |
| title_exact_search_txtP | Models in cooperative game theory |
| title_full | Models in cooperative game theory Rodica Branzei ; Dinko Dimitrov ; Stef Tijs |
| title_fullStr | Models in cooperative game theory Rodica Branzei ; Dinko Dimitrov ; Stef Tijs |
| title_full_unstemmed | Models in cooperative game theory Rodica Branzei ; Dinko Dimitrov ; Stef Tijs |
| title_short | Models in cooperative game theory |
| title_sort | models in cooperative game theory |
| topic | Mathematisches Modell Ökonometrisches Modell Econometric models Game theory Mathematical models Spieltheorie (DE-588)4056243-8 gnd Kooperatives Spiel (DE-588)4120603-4 gnd |
| topic_facet | Mathematisches Modell Ökonometrisches Modell Econometric models Game theory Mathematical models Spieltheorie Kooperatives Spiel |
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