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标题：A model of anonymous influence with anti-conformist agents.
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作者：Michel Grabisch ; Alexis Poindron ; Agnieszka Rusinowska. 等
期刊名称：Documents de Travail du Centre d'Economie de la Sorbonne
印刷版ISSN：1955-611X
出版年度：2017
出版社：Centre d'Economie de la Sorbonne
摘要：We study a stochastic model of anonymous influence with conformist and anti-conformistindividuals. Each agent with a ‘yes’ or ‘no’ initial opinion on a certain issue can change his opiniondue to social influence. We consider anonymous influence, which depends on the number of agentshaving a certain opinion, but not on their identity. An individual is conformist/anti-conformist ifhis probability of saying ‘yes’ increases/decreases with the number of ‘yes’- agents. In order to con-sider a society in which both conformists and anti-conformists co-exist, we investigate a generalizedaggregation mechanism based on ordered weighted averages. Additionally, every agent has a coeffi-cient of conformism which is a real number in [−1, 1], with negative/positive values correspondingto anti-conformists/conformists. The two extreme values −1 and 1 represent a pure anti-conformistand a pure conformist, respectively, and the remaining values – so called ‘mixed’ agents. We con-sider two kinds of a society without mixed agents, and with mixed agents who play randomly eitheras conformists or anti-conformists. For both cases of the model, we deliver a qualitative analysis ofconvergence, i.e., find all absorbing classes and conditions for their occurrence.
关键词：influence; anonymity; anti-conformism; convergence; absorbing class