Verfügbarkeit: Social and economic networks in cooperative game theory

Social and economic networks in cooperative game theory:

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Bibliographische Detailangaben
Hauptverfasser:	Slikker, Marco (VerfasserIn), Nouweland, Anne van den (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Boston [u.a.] Kluwer Academic Publ. 2001
Schriftenreihe:	Theory and decision library Series C, Game theory, mathematical programming and operations research ; 27
Schlagworte:	Kooperatives Spiel / Business Network / Theorie Social networks Business networks Game theory Spieltheorie Netzwerk
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XI, 291 S. graph. Darst.
ISBN:	0792372263

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Datensatz im Suchindex

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adam_text	Contents Preface ix Part I Social and Economic Networks in Cooperative Situations 1. GAMES AND NETWORKS 3 1.1 Coalitional games 3 1.2 Networks 13 2. RESTRICTED COOPERATION IN GAMES 21 2.1 Games with restricted communication 21 2.2 The Myerson value 29 2.3 Other allocation rules 43 3. INHERITANCE OP PROPERTIES IN COMMUNICATION SITUATIONS 53 3.1 Superadditivity 54 3.2 Balancedness and totally balancedness 55 3.3 Convexity 58 3.4 Average convexity 62 3.5 Core-inclusion of the Shapley value 73 3.6 Population monotonic allocation schemes 81 3.7 Review and remarks 86 4. VARIANTS ON THE BASIC MODEL 89 4.1 Games with coalition structures 90 4.2 Hypergraph communication situations 95 4.3 Probabilistic communication situations 100 4.4 NTU communication situations 107 4.5 Reward communication situations 115 4.6 Directed communication situations 124 vi NETWORKS IN COOPERATIVE GAME THEORY Part II Network Formation 5. NONCOOPERATIVE GAMES 135 5.1 Games in extensive form 135 5.2 Games in strategic form 140 6. A NETWORK-FORMATION MODEL IN EXTENSIVE FORM 153 6.1 Description of the model 153 6.2 Some examples 155 6.3 Weighted majority games 160 6.4 Symmetric convex games 164 7. A NETWORK-FORMATION MODEL IN STRATEGIC FORM 173 7.1 Description of the model 174 7.2 Nash equilibrium and strong Nash equilibrium 179 7.3 Undominated Nash equilibrium and coalition-proof Nash equilibrium 183 7.4 Comparison of the network-formation models 189 7.5 Remarks 190 8. NETWORK FORMATION WITH COSTS FOR ESTABLISHING LINKS 193 8.1 The cost-extended Myerson value 193 8.2 Network-formation games in extensive form 198 8.3 Network-formation games in strategic form 202 8.3.1 Nash equilibrium and strong Nash equilibrium 203 8.3.2 Undominated Nash equilibrium 205 8.3.3 Coalition-proof Nash equilibrium 206 8.4 Extensions 209 8.5 Comparison of the network-formation models 210 9. A ONE-STAGE MODEL OF NETWORK FORMATION AND PAYOFF DIVISION 213 9.1 The model 213 9.2 Nash equilibrium 218 9.3 Strong Nash equilibrium 223 9.4 Coalition-proof Nash equilibrium 229 10.NETWORK FORMATION AND POTENTIAL GAMES 249 10.1 Potential games 249 10.2 A representation theorem 254 10.3 Network formation 257 10.4 Remarks 262 ll.NETWORK FORMATION AND REWARD FUNCTIONS 265 11.1 Pairwise stability 265 11.2 Weak and strong stability 271 11.3 Dynamic models of network formation 276 References 281 Notations 287 Index 289
adam_txt	Contents Preface ix Part I Social and Economic Networks in Cooperative Situations 1. GAMES AND NETWORKS 3 1.1 Coalitional games 3 1.2 Networks 13 2. RESTRICTED COOPERATION IN GAMES 21 2.1 Games with restricted communication 21 2.2 The Myerson value 29 2.3 Other allocation rules 43 3. INHERITANCE OP PROPERTIES IN COMMUNICATION SITUATIONS 53 3.1 Superadditivity 54 3.2 Balancedness and totally balancedness 55 3.3 Convexity 58 3.4 Average convexity 62 3.5 Core-inclusion of the Shapley value 73 3.6 Population monotonic allocation schemes 81 3.7 Review and remarks 86 4. VARIANTS ON THE BASIC MODEL 89 4.1 Games with coalition structures 90 4.2 Hypergraph communication situations 95 4.3 Probabilistic communication situations 100 4.4 NTU communication situations 107 4.5 Reward communication situations 115 4.6 Directed communication situations 124 vi NETWORKS IN COOPERATIVE GAME THEORY Part II Network Formation 5. NONCOOPERATIVE GAMES 135 5.1 Games in extensive form 135 5.2 Games in strategic form 140 6. A NETWORK-FORMATION MODEL IN EXTENSIVE FORM 153 6.1 Description of the model 153 6.2 Some examples 155 6.3 Weighted majority games 160 6.4 Symmetric convex games 164 7. A NETWORK-FORMATION MODEL IN STRATEGIC FORM 173 7.1 Description of the model 174 7.2 Nash equilibrium and strong Nash equilibrium 179 7.3 Undominated Nash equilibrium and coalition-proof Nash equilibrium 183 7.4 Comparison of the network-formation models 189 7.5 Remarks 190 8. NETWORK FORMATION WITH COSTS FOR ESTABLISHING LINKS 193 8.1 The cost-extended Myerson value 193 8.2 Network-formation games in extensive form 198 8.3 Network-formation games in strategic form 202 8.3.1 Nash equilibrium and strong Nash equilibrium 203 8.3.2 Undominated Nash equilibrium 205 8.3.3 Coalition-proof Nash equilibrium 206 8.4 Extensions 209 8.5 Comparison of the network-formation models 210 9. A ONE-STAGE MODEL OF NETWORK FORMATION AND PAYOFF DIVISION 213 9.1 The model 213 9.2 Nash equilibrium 218 9.3 Strong Nash equilibrium 223 9.4 Coalition-proof Nash equilibrium 229 10.NETWORK FORMATION AND POTENTIAL GAMES 249 10.1 Potential games 249 10.2 A representation theorem 254 10.3 Network formation 257 10.4 Remarks 262 ll.NETWORK FORMATION AND REWARD FUNCTIONS 265 11.1 Pairwise stability 265 11.2 Weak and strong stability 271 11.3 Dynamic models of network formation 276 References 281 Notations 287 Index 289
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author	Slikker, Marco Nouweland, Anne van den
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spelling	Slikker, Marco Verfasser aut Social and economic networks in cooperative game theory by Marco Slikker and Anne van den Nouweland Boston [u.a.] Kluwer Academic Publ. 2001 XI, 291 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Theory and decision library : Series C, Game theory, mathematical programming and operations research 27 Kooperatives Spiel / Business Network / Theorie Social networks Business networks Game theory Spieltheorie (DE-588)4056243-8 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Netzwerk (DE-588)4171529-9 s DE-604 Nouweland, Anne van den Verfasser aut Theory and decision library Series C, Game theory, mathematical programming and operations research ; 27 (DE-604)BV000736902 27 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016409296&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Slikker, Marco Nouweland, Anne van den Social and economic networks in cooperative game theory Theory and decision library Kooperatives Spiel / Business Network / Theorie Social networks Business networks Game theory Spieltheorie (DE-588)4056243-8 gnd Netzwerk (DE-588)4171529-9 gnd
subject_GND	(DE-588)4056243-8 (DE-588)4171529-9
title	Social and economic networks in cooperative game theory
title_auth	Social and economic networks in cooperative game theory
title_exact_search	Social and economic networks in cooperative game theory
title_exact_search_txtP	Social and economic networks in cooperative game theory
title_full	Social and economic networks in cooperative game theory by Marco Slikker and Anne van den Nouweland
title_fullStr	Social and economic networks in cooperative game theory by Marco Slikker and Anne van den Nouweland
title_full_unstemmed	Social and economic networks in cooperative game theory by Marco Slikker and Anne van den Nouweland
title_short	Social and economic networks in cooperative game theory
title_sort	social and economic networks in cooperative game theory
topic	Kooperatives Spiel / Business Network / Theorie Social networks Business networks Game theory Spieltheorie (DE-588)4056243-8 gnd Netzwerk (DE-588)4171529-9 gnd
topic_facet	Kooperatives Spiel / Business Network / Theorie Social networks Business networks Game theory Spieltheorie Netzwerk
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