Rudolf Berghammer () (Institut fur Informatik Christian-Albrechts-Universitat Kiel, Germany) Agnieszka Rusinowska () (University of Lyon, Lyon, F-69003, France; CNRS, UMR 5824, GATE, Ecully, F-69130, France; ENS LSH, Lyon, F-69007, France ; Centre Leon Berard, Lyon, F-69003, France, Department of Econometrics and Tinbergen Institute, Free University, The Netherlands) Harrie de Swart () (Department of Philosophy, Tilburg University, The Netherlands)
Abstract
We present an application of relation algebra to measure players strength in a social network with influence between players. In particular, we deal with power, success, and influence of a player as measured by the Hoede-Bakker index, its generalization and modifications, and by the influence indices. We also apply relation algebra to determine followers of a coalition and the kernel of an influence function. This leads to specifications, which can be executed with the help of the BDDbased tool RelView after a simple translation into the toolÃs programming language. As an example we consider the present Dutch parliament.
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Paper provided by Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure in its series Working Papers with number
0902.