FEEM working papers "Note di lavoro" series
2013 .051

Anonymous Social Influence


Autori: Manuel Förster, Michel Grabisch, Agnieszka Rusinowsk
Serie: Climate Change and Sustainable Development
Editor: Carlo Carraro
Parole chiave: Influence, Anonymity, Ordered Weighted Averaging Operator, Convergence, Consensus, Speed Of Convergence, Fuzzy Linguistic Quantifier
Numero JEL: C7, D7, D85

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 extent. 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”.

Download file
Scarica il file PDF

FEEM Newsletter

Iscriviti per rimanere aggiornato.

I Suoi dati saranno trattati dalla Fondazione Eni Enrico Mattei. – Titolare del trattamento – per ricevere via posta elettronica la newsletter della Fondazione. Il conferimento dell’indirizzo e-mail è necessario alla fornitura del servizio. La invitiamo a consultare la Privacy Policy per ottenere maggiori informazioni a tutela dei Suoi diritti.

Questo Sito utilizza cookie tecnici e analytics, nonché consente l’invio di cookie di profilazione di terze parti.
Chiudendo questo banner o comunque proseguendo la navigazione sul Sito manifesti il tuo consenso all’uso dei cookie. Per ulteriori informazioni e per esprimere scelte selettive in ordine all’uso dei cookie vedi la   Cookie PolicyOk