000 03057nam a22005175i 4500
001 978-3-642-05282-8
003 DE-He213
005 20140220084528.0
007 cr nn 008mamaa
008 100427s2010 gw | s |||| 0|eng d
020 _a9783642052828
_9978-3-642-05282-8
024 7 _a10.1007/978-3-642-05282-8
_2doi
050 4 _aHB144
072 7 _aPBUD
_2bicssc
072 7 _aKCH
_2bicssc
072 7 _aBUS069000
_2bisacsh
072 7 _aMAT011000
_2bisacsh
082 0 4 _a330.0151
_223
082 0 4 _a330
_223
100 1 _aGilles, Robert P.
_eauthor.
245 1 4 _aThe Cooperative Game Theory of Networks and Hierarchies
_h[electronic resource] /
_cby Robert P. Gilles.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXI, 270p. 40 illus., 20 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTheory and Decision Library C, Game Theory, Mathematical Programming and Operations Research,
_x0924-6126 ;
_v44
505 0 _aCooperative Game Theory -- The Core of a Cooperative Game -- Axiomatic Value Theory -- The Cooperative Potential -- Directed Communication Networks -- Cooperative Theories of Hierarchical Organizations.
520 _aThe 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.
650 0 _aEconomics.
650 0 _aMathematics.
650 0 _aEconomics, Mathematical.
650 1 4 _aEconomics/Management Science.
650 2 4 _aGame Theory/Mathematical Methods.
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
650 2 4 _aEconomic Theory.
650 2 4 _aOperations Research/Decision Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642052811
830 0 _aTheory and Decision Library C, Game Theory, Mathematical Programming and Operations Research,
_x0924-6126 ;
_v44
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-05282-8
912 _aZDB-2-SBE
999 _c111699
_d111699