Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/74814
Authors: 
Förster, Manuel
Grabisch, Michel
Rusinowsk, Agnieszka
Year of Publication: 
2013
Series/Report no.: 
Nota di Lavoro, Fondazione Eni Enrico Mattei 51.2013
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”.
Subjects: 
Influence
Anonymity
Ordered Weighted Averaging Operator
Convergence
Consensus
Speed Of Convergence
Fuzzy Linguistic Quantifier
JEL: 
C7
D7
D85
Document Type: 
Working Paper

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