Holdings: Models in cooperative game theory

Models in cooperative game theory:

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Bibliographic Details
Main Authors:	Brânzei, Rodica 1949- (Author), Dimitrov, Dinko (Author), Tijs, Stef 1937-2023 (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin [u.a.] Springer 2008
Edition:	2. ed.
Subjects:	Spieltheorie Kooperatives Spiel
Online Access:	BTU01 FAN01 FHI01 FHM01 FHR01 FKE01 FNU01 HWR01 UBG01 UBR01 UBT01 UBY01 UPA01 Volltext Inhaltsverzeichnis
Physical Description:	1 Online-Ressource (XI, 203 S.)
ISBN:	9783540779544
DOI:	10.1007/978-3-540-77954-4

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adam_text	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 ALLOCATION SCHEMES 45 5.2 CONVEX GAMES 46 5.2.1 BASIC CHARACTERIZATIONS 46 GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/987108832 DIGITALISIERT DURCH 9.3 BI-MONOTONIC PARTICIPATION ALLOCATION RULES 135 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 131 201 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
adam_txt	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 ALLOCATION SCHEMES 45 5.2 CONVEX GAMES 46 5.2.1 BASIC CHARACTERIZATIONS 46 GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/987108832 DIGITALISIERT DURCH 9.3 BI-MONOTONIC PARTICIPATION ALLOCATION RULES 135 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 131 201 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
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author	Brânzei, Rodica 1949- Dimitrov, Dinko Tijs, Stef 1937-2023
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id	DE-604.BV023359093
illustrated	Not Illustrated
index_date	2024-07-02T21:08:28Z
indexdate	2024-07-09T21:16:47Z
institution	BVB
isbn	9783540779544
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016542583
oclc_num	611891579
open_access_boolean
owner	DE-473 DE-BY-UBG DE-739 DE-706 DE-898 DE-BY-UBR DE-M347 DE-355 DE-BY-UBR DE-703 DE-1102 DE-1049 DE-634 DE-2070s DE-859 DE-573 DE-188
owner_facet	DE-473 DE-BY-UBG DE-739 DE-706 DE-898 DE-BY-UBR DE-M347 DE-355 DE-BY-UBR DE-703 DE-1102 DE-1049 DE-634 DE-2070s DE-859 DE-573 DE-188
physical	1 Online-Ressource (XI, 203 S.)
psigel	ZDB-2-SBE
publishDate	2008
publishDateSearch	2008
publishDateSort	2008
publisher	Springer
record_format	marc
spelling	Brânzei, Rodica 1949- Verfasser (DE-588)123916860 aut Models in cooperative game theory Rodica Branzei ; Dinko Dimitrov ; Stef Tijs 2. ed. Berlin [u.a.] Springer 2008 1 Online-Ressource (XI, 203 S.) txt rdacontent c rdamedia cr rdacarrier 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 Erscheint auch als Druck-Ausgabe 3-540-77953-1 Erscheint auch als Druck-Ausgabe 978-3-540-77953-7 https://doi.org/10.1007/978-3-540-77954-4 Verlag URL des Erstveröffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016542583&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 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	Spieltheorie (DE-588)4056243-8 gnd Kooperatives Spiel (DE-588)4120603-4 gnd
topic_facet	Spieltheorie Kooperatives Spiel
url	https://doi.org/10.1007/978-3-540-77954-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016542583&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT branzeirodica modelsincooperativegametheory AT dimitrovdinko modelsincooperativegametheory AT tijsstef modelsincooperativegametheory

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