Anonymous social influence

• 成果类型: Article
• 署名作者: Foerster, Manuel; Grabisch, Michel; Rusinowska, Agnieszka
• 署名单位: heSam Universite; Universite Pantheon-Sorbonne; heSam Universite; Universite Pantheon-Sorbonne; Paris School of Economics; Paris School of Economics; Centre National de la Recherche Scientifique (CNRS); Universite Catholique Louvain
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2013.09.006
• 发表日期: 2013
• 页码: 621-635
• 关键词: Influence; anonymity; Ordered weighted averaging operator; CONVERGENCE; consensus; Fuzzy linguistic quantifier

摘要

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 modeled 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 averages are only used to some extent. Furthermore, we apply our results to fuzzy linguistic quantifiers, i.e., expressions like most or at least a few. (C) 2013 Elsevier Inc. All rights reserved.