Characterizations of Network Power Measures

Arbeitspapier

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.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Tinbergen Institute Discussion Paper ; No. 05-061/1

Klassifikation und Themen

• Klassifikation: Wirtschaft ; Cooperative Games ; Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification
• Thema: symmetric networks ; network power ; stationary power distribution ; beta-measure ; degree measure ; Netzwerk ; Graphentheorie ; Kooperatives Spiel ; Spieltheorie ; Theorie

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): van den Brink, René ; Borm, Peter ; Hendrickx, Ruud ; Owen, Guillermo
• Ereignis: Veröffentlichung
• (wer): Tinbergen Institute
• (wo): Amsterdam and Rotterdam
• (wann): 2005

Weitere Informationen

• Handle: http://hdl.handle.net/10419/86301
• Letzte Aktualisierung: 10.03.2025, 11:41 MEZ