Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2005-06-13 Number: 05-061/1 Author-Name: René van den Brink Author-Email: jrbrink@feweb.vu.nl Author-Workplace-Name: Faculty of Economics and Business Administration, Vrije Universiteit Amsterdam Author-Name: Peter Borm Author-Email: p.e.m.borm@uvt.nl Author-Workplace-Name: CentER, Tilburg University Author-Name: Ruud Hendrickx Author-Email: R.L.P.Hendrickx@uvt.nl Author-Workplace-Name: CentER, Tilburg University Author-Name: Guillermo Owen Author-Email: GOwen@nps.navy.mil Author-Workplace-Name: Dept. of Mathematics, Naval Postgraduate School, Monterey, Ca, USA Title: Characterizations of Network Power Measures Abstract: This discussion paper led to a publication in 'Theory and Decision', 2008, 64, 519-536. 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. Classification-JEL: C71; Z13 Keywords: symmetric networks; network power; stationary power distribution; beta-measure; degree measure File-Url: https://papers.tinbergen.nl/05061.pdf File-Format: application/pdf File-Size: 249992 bytes Handle: RePEc:tin:wpaper:20050061