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Ordered Weighted Averaging in Social Networks

Manuel Förster (), Michel Grabisch and Agnieszka Rusinowska
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Manuel Förster: Centre d'Economie de la Sorbonne & Université Catholique de Louvain - CORE, https://centredeconomiesorbonne.cnrs.fr

Authors registered in the RePEc Author Service: Manuel Foerster

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We study a stochastic model of influence where agents have yes-no inclinations on some issue, and opinions may change due to mutual influence among the agents. Each agent independently aggregates the opinions of the other agents and possibly herself. We study influence processes modelled by ordered weighted averaging operators. This allows to study situations where the influence process resembles a majority vote, which are not covered by the classical approach of weighted averaging aggregation. We provide an analysis of the speed of convergence and the probabilities of absoption by different terminal classes. We find a necessary and sufficient condition for convergence to consensus and characterize terminal states. Our results can also be used to understand more general situations, where ordered weighted averaging operators are only used to some extend. Furthermore, we apply our results to fuzzy linguistic quantifiers

Keywords: Social network; influence; convergence; speed of convergence; consensus; ordered weighted averaging operator; fuzzy linguistic quantifier (search for similar items in EconPapers)
JEL-codes: C7 D7 D85 (search for similar items in EconPapers)
Pages: 33 pages
Date: 2012-08
New Economics Papers: this item is included in nep-cdm, nep-gth, nep-net and nep-soc
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http://mse.univ-paris1.fr/pub/mse/CES2012/12056.pdf (application/pdf)

Related works:
Working Paper: Anonymous social influence (2013) Downloads
Working Paper: Anonymous Social Influence (2013) Downloads
Working Paper: Anonymous social influence (2013) Downloads
Working Paper: Anonymous social influence (2013) Downloads
Working Paper: Ordered Weighted Averaging in Social Networks (2012) Downloads
Working Paper: Ordered Weighted Averaging in Social Networks (2012) Downloads
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