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A Mathematical Foundation for Stochastic Opinion Dynamics

A Mathematical Foundation for Stochastic Opinion Dynamics

Luis E. Castro, Nazrul I. Shaikh
Copyright: © 2019 |Volume: 6 |Issue: 1 |Pages: 23
ISSN: 2334-4547|EISSN: 2334-4555|EISBN13: 9781522568308|DOI: 10.4018/IJBAN.2019010102
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MLA

Castro, Luis E., and Nazrul I. Shaikh. "A Mathematical Foundation for Stochastic Opinion Dynamics." IJBAN vol.6, no.1 2019: pp.20-42. http://doi.org/10.4018/IJBAN.2019010102

APA

Castro, L. E. & Shaikh, N. I. (2019). A Mathematical Foundation for Stochastic Opinion Dynamics. International Journal of Business Analytics (IJBAN), 6(1), 20-42. http://doi.org/10.4018/IJBAN.2019010102

Chicago

Castro, Luis E., and Nazrul I. Shaikh. "A Mathematical Foundation for Stochastic Opinion Dynamics," International Journal of Business Analytics (IJBAN) 6, no.1: 20-42. http://doi.org/10.4018/IJBAN.2019010102

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Abstract

This article presents a stochastic opinion dynamics model where (a) the opinion of each agent in a network is modeled as a probability distribution as against a point object, (b) consensus is defined as the stability region of the ensuing set of stochastic difference equations, and (c) compromise solutions can be derived between agents who don't have a consensus. The model is well suited for tracking opinion dynamics over large online systems such as Twitter and Yelp where opinions need to be extracted from the user-generated text data. Theoretical conditions for the existence of consensus and the impact that stubborn agents have on opinion dynamics are also presented.

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