EconPapers    
Economics at your fingertips  
 

Anonymous social influence

Manuel Förster (), Michel Grabisch and Agnieszka Rusinowska
Additional contact information
Manuel Förster: Université Paris 1 Panthéon-Sorbonne, France; Université catholique de Louvain, CORE, B-1348 Louvain-la-Neuve, Belgium

Authors registered in the RePEc Author Service: Manuel Foerster

No 2013028, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: We study a stochastic model of influence where agents have “yes” or “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, which are anonymous: they only depend on how many agents share an opinion. For instance, this allows to study situations where the influence process is based on majorities, which are not covered by the classical approach of weighted averaging aggregation. We find a necessary and sufficient condition for convergence to consensus and characterize outcomes where the society ends up polarized. Our results can also be used to understand more general situations, where ordered weighted averaging operators are only used to some extend. We provide an analysis of the speed of convergence and the possible outcomes of the process. Furthermore, we apply our results to fuzzy linguistic quantifiers, i.e., expressions like “most” or “at least a few”.

Keywords: influence; anonymity; ordered weighted averaging operator; convergence; consensus; speed of convergence; fuzzy linguistic quantifier (search for similar items in EconPapers)
JEL-codes: C7 D7 D85 (search for similar items in EconPapers)
Date: 2013-07-04
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (31) Track citations by RSS feed

Downloads: (external link)
http://uclouvain.be/cps/ucl/doc/core/documents/coredp2013_28web.pdf (application/pdf)

Related works:
Journal Article: 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: 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
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cor:louvco:2013028

Access Statistics for this paper

More papers in LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium). Contact information at EDIRC.
Bibliographic data for series maintained by Alain GILLIS ().

 
Page updated 2021-05-14
Handle: RePEc:cor:louvco:2013028