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The cooperative game theory...
The book brings together an overview of standard concepts in cooperative game theory with applications to the analysis of social networks and hierarchical authority organizations. The standard concepts covered include the multi-linear extension, the Core, the Shapley value, and the cooperative potential. Also discussed are the Core for a restricted collection of formable coalitions, various Core covers, the Myerson value, value-based potentials, and share potentials. Within the context of social networks this book discusses the measurement of centrality and power as well as allocation rules such as the Myerson value and hierarchical allocation rules. For hierarchical organizations, two basic approaches to the exercise of authority are explored; for each approach the allocation of the generated output is developed. Each chapter is accompanied by a problem section, allowing this book to be used as a textbook for an advanced graduate course on game theory
Monografía
monografia Rebiun34321498 https://catalogo.rebiun.org/rebiun/record/Rebiun34321498 m o d cr cn||||||||| 100909s2010 gw a ob 001 0 eng d 600096345 647912158 767752697 1005746902 1044195548 1056356232 1058053916 1060881604 1065403241 1066472163 1070953767 1074308672 1078126624 1087295842 1105589786 1112581633 1198995693 1204001987 1224660901 1259081406 1300221727 1391833609 9783642052828 3642052827 9783642052811 hbk.) 3642052819 hbk.) 1282832611 9781282832619 9786612832611 6612832614 10.1007/978-3-642-05282-8 doi AU@ 000048714401 NZ1 13521157 NZ1 13658861 NZ1 13699232 12785957 978-3-642-05281-1 Springer http://www.springerlink.com GW5XE eng pn GW5XE EBLCP CDX OCLCQ MHW YDXCP OCLCQ CUS COO E7B OCLCO OCLCQ OCLCF BEDGE OCLCQ TXI OCLCQ Z5A ESU OCLCQ VT2 IOG CEF U3W AU@ WYU OCLCQ YOU UKAHL OCLCQ AUD ERF WURST OCLCQ EZ9 OCLCQ OCLCO OCLCQ DCT EUN HAGCC QGK OCLCO PBUD bicssc MAT011000 bisacsh 519.3 22 Gilles, Robert P. The cooperative game theory of networks and hierarchies Robert P. Gilles Heidelberg Springer 2010 Heidelberg Heidelberg Springer 1 online resource (xi, 255 pages) illustrations 1 online resource (xi, 255 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF Theory and decision library. Series C, Game theory, mathematical programming and operations research 0924-6126 v. 44 Includes bibliographical references and index Preface; Contents; List of Figures; to 1 Cooperative Game Theory; 1.1 Aims and Outline of the Book; 1.2 Game Forms; 1.3 Cooperative Games; 1.4 Multilinear Extensions; 1.5 Problems; to 2 The Core of a Cooperative Game; 2.1 Basic Properties of the Core; 2.2 The Core Based on a Collection of Coalitions; 2.3 Core Covers and Convex Games; 2.4 Appendix: Proofs of the Main Theorems; 2.5 Problems; to 3 Axiomatic Value Theory; 3.1 Equivalent Formulations of the Shapley Value; 3.2 Three Axiomatizations of the Shapley Value; 3.3 The Shapley Value as a Utility Function; 3.4 The Myerson Value University staff and students only. Requires University Computer Account login off-campus The book brings together an overview of standard concepts in cooperative game theory with applications to the analysis of social networks and hierarchical authority organizations. The standard concepts covered include the multi-linear extension, the Core, the Shapley value, and the cooperative potential. Also discussed are the Core for a restricted collection of formable coalitions, various Core covers, the Myerson value, value-based potentials, and share potentials. Within the context of social networks this book discusses the measurement of centrality and power as well as allocation rules such as the Myerson value and hierarchical allocation rules. For hierarchical organizations, two basic approaches to the exercise of authority are explored; for each approach the allocation of the generated output is developed. Each chapter is accompanied by a problem section, allowing this book to be used as a textbook for an advanced graduate course on game theory English Game theory Social networks Organizational behavior Decision making Economics Game Theory Social Support Decision Making Economics Théorie des jeux Réseaux sociaux Comportement organisationnel Prise de décision Économie politique decision making economics Affaires Science économique Economie de l'entreprise Game theory Organizational behavior Social networks economie economics bedrijfswetenschap management science speltheorie game theory wiskunde mathematics economische theorie economic theory operationeel onderzoek operations research Management studies, Business Administration, Organizational Science (General) Management, bedrijfskunde, organisatiekunde (algemeen) Springer eBooks Springer eBooks Print version Gilles, Robert P. Cooperative game theory of networks and hierarchies. Heidelberg : Springer, 2010 9783642052811 3642052819 (OCoLC)462920251 Theory and decision library. Series C Game theory, mathematical programming, and operations research v. 44