EconPapers    
Economics at your fingertips  
 

A model of anonymous influence with anti-conformist agents

Michel Grabisch, Alexis Poindron and Agnieszka Rusinowska

Journal of Economic Dynamics and Control, 2019, vol. 109, issue C

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. We focus on three classes of aggregation rules (pure conformism, pure anti-conformism, and mixed aggregation rules) and examine two types of society (without, and with mixed agents). For both types we provide a complete qualitative analysis of convergence, i.e., identify all absorbing classes and conditions for their occurrence. Also the pure case with infinitely many individuals is studied. We show that, as expected, the presence of anti-conformists in a society brings polarization and instability: polarization in two groups, fuzzy polarization (i.e., with blurred frontiers), cycles, periodic classes, as well as more or less chaotic situations where at any time step the set of ‘yes’-agents can be any subset of the society. Surprisingly, the presence of anti-conformists may also lead to opinion reversal: a majority group of conformists with a stable opinion can evolve by a cascade phenomenon towards the opposite opinion, and remains in this state.

Keywords: Opinion dynamics; Anonymity; Anti-conformism; Convergence; Absorbing class (search for similar items in EconPapers)
JEL-codes: C7 D7 D85 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7) Track citations by RSS feed

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0165188919301708
Full text for ScienceDirect subscribers only

Related works:
Working Paper: A model of anonymous influence with anti-conformist agents (2019) Downloads
Working Paper: A model of anonymous influence with anti-conformist agents (2019) Downloads
Working Paper: A model of anonymous influence with anti-conformist agents (2019) Downloads
Working Paper: A model of anonymous influence with anti-conformist agents (2017) Downloads
Working Paper: A model of anonymous influence with anti-conformist agents (2017) Downloads
Working Paper: A model of anonymous influence with anti-conformist agents (2017) Downloads
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:dyncon:v:109:y:2019:i:c:s0165188919301708

DOI: 10.1016/j.jedc.2019.103773

Access Statistics for this article

Journal of Economic Dynamics and Control is currently edited by J. Bullard, C. Chiarella, H. Dawid, C. H. Hommes, P. Klein and C. Otrok

More articles in Journal of Economic Dynamics and Control from Elsevier
Bibliographic data for series maintained by Haili He ().

 
Page updated 2020-10-17
Handle: RePEc:eee:dyncon:v:109:y:2019:i:c:s0165188919301708