Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/86301
Authors: 
van den Brink, René
Borm, Peter
Hendrickx, Ruud
Owen, Guillermo
Year of Publication: 
2005
Series/Report no.: 
Tinbergen Institute Discussion Paper 05-061/1
Abstract: 
A 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 beta-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 beta-measure and degree measure by providing characterizations, which differ only in the normalization that is used.
Subjects: 
symmetric networks
network power
stationary power distribution
beta-measure
degree measure
JEL: 
C71
Z13
Document Type: 
Working Paper

Files in This Item:
File
Size
244.13 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.