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dc.contributor.authorOwen, Guillermo
dc.contributor.authorvan den Brink, René
dc.contributor.authorBorm, Peter
dc.contributor.authorHendrickx, Ruud
dc.dateJune 8, 2005
dc.date.accessioned2016-05-09T21:29:22Z
dc.date.available2016-05-09T21:29:22Z
dc.date.issued2005-06-08
dc.identifier.urihttp://hdl.handle.net/10945/48652
dc.description.abstractA symmetric network consists of a set of positions and a set of bilateral links between these positions. Examples of such networks are exchange networks, communication networks, disease transmission networks, control networks etc. For every symmetric network we define a cooperative transferable utility game that measures the “power” of each coalition of positions in the network. Applying the Shapley value to this game yields a network power measure, the β-measure, which reflects the power of the individual positions in the network. Applying this power distribution method iteratively yields a limit distribution, which turns out to equal the well-known degree measure. We compare the β- measure and degree measure by providing characterizations, which differ only in the normalization that is used.en_US
dc.format.extent14 p.en_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleCharacterizations of Network Power Measuresen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentMathematicsen_US
dc.subject.authorsymmetric networksen_US
dc.subject.authornetwork poweren_US
dc.subject.authorstationary power distributionen_US
dc.subject.authorβ-measureen_US
dc.subject.authordegree measureen_US


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