A model of anonymous influence with anti-conformist agents

Michel Grabisch, Alexis Poindron () and Agnieszka Rusinowska
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Alexis Poindron: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, UP1 UFR02 - Université Paris 1 Panthéon-Sorbonne - École d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne

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Abstract: We study a stochastic model of anonymous influence with conformist and anti-conformist individuals. Each agent with a ‘yes' or ‘no' initial opinion on a certain issue can change his opinion due to social influence. We consider anonymous influence, which depends on the number of agents having a certain opinion, but not on their identity. An individual is conformist/anti-conformist if his probability of saying ‘yes' increases/decreases with the number of ‘yes'- agents. In order to consider a society in which both conformists and anti-conformists co-exist, we investigate a generalized aggregation mechanism based on ordered weighted averages. Additionally, every agent has a coefficient of conformism which is a real number in [-1, 1], with negative/positive values corresponding to anti-conformists/conformists. The two extreme values -1 and 1 represent a pure anti-conformist and a pure conformist, respectively, and the remaining values - so called ‘mixed' agents. We consider two kinds of a society: without mixed agents, and with mixed agents who play randomly either as conformists or anti-conformists. For both cases of the model, we deliver a qualitative analysis of convergence, i.e., find all absorbing classes and conditions for their occurence.

Keywords: anti-conformism; convergence; absorbing class; opinion dynamics; influence; anonymity; anonymat; anticonformisme; classe absorbante (search for similar items in EconPapers)
Date: 2019-12
New Economics Papers: this item is included in nep-mic
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02799707v2
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Citations: View citations in EconPapers (24)

Published in Journal of Economic Dynamics and Control, 2019, 109, pp.103773. ⟨10.1016/j.jedc.2019.103773⟩

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Related works:
Journal Article: A model of anonymous influence with anti-conformist agents (2019)
Working Paper: A model of anonymous influence with anti-conformist agents (2019)
Working Paper: A model of anonymous influence with anti-conformist agents (2019)
Working Paper: A model of anonymous influence with anti-conformist agents (2017)
Working Paper: A model of anonymous influence with anti-conformist agents (2017)
Working Paper: A model of anonymous influence with anti-conformist agents (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-02799707

DOI: 10.1016/j.jedc.2019.103773

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