A mathematical foundation for stochastic opinion dynamics

Luis E. Castro; Nazrul I Shaikh

doi:10.4018/IJBAN.2019010102

A mathematical foundation for stochastic opinion dynamics

Luis E. Castro, Nazrul I Shaikh

Industrial Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	20-42
Number of pages	23
Journal	International Journal of Business Analytics
Volume	6
Issue number	1
DOIs	https://doi.org/10.4018/IJBAN.2019010102
State	Published - Jan 1 2019

Keywords

Consensus
Opinion Dynamics
Opinion Formation
Opinion Update
Stochastic Difference Equations

ASJC Scopus subject areas

Business and International Management
Strategy and Management

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AB - 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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A mathematical foundation for stochastic opinion dynamics

Abstract

Keywords

ASJC Scopus subject areas

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