Power in Networks: A PGI Analysis of Krackhardt’s Kite Network

Transactions on Computational Collective Intelligence, Forthcoming

15 Pages Posted: 11 Jun 2019

See all articles by Manfred J. Holler

Manfred J. Holler

University of Hamburg - Faculty of Economics and Business Administration

Florian Rupp

affiliation not provided to SSRN

Date Written: February 13, 2019

Abstract

This paper applies for the first time power index analysis to the famous Krackhardt’s kite social network by imposing a weighted voting game on the given network structure. It compares the results of this analysis, derived by applying the Public Good Index and the Public Value, with the outcome of employing the centrality concepts - degree centrality, closeness centrality, and betweenness centrality - that we find in Krackstadt (1990), and eigenvector centrality. The conclusion is that traditional centrality measures are rather a first approximation for evaluating the power in a network as they considerably abstract from decision making and thereby of possible coalitions and actions. (Power index analysis takes care of decision making, however, in the rather abstract (a priori) form of the potential of forming coalitions.)

Keywords: network, centrality, Public Good Index, Public Value, power indices, weighted voting game

JEL Classification: C70, C72, D72, D85, L14, Z13

Suggested Citation

Holler, Manfred J. and Rupp, Florian, Power in Networks: A PGI Analysis of Krackhardt’s Kite Network (February 13, 2019). Transactions on Computational Collective Intelligence, Forthcoming, Available at SSRN: https://ssrn.com/abstract=3394295 or http://dx.doi.org/10.2139/ssrn.3394295

Manfred J. Holler (Contact Author)

University of Hamburg - Faculty of Economics and Business Administration ( email )

Von-Melle-Park 5
Hamburg, 20146
Germany

Florian Rupp

affiliation not provided to SSRN

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