Analytical methods to investigate the effects of external influence on socio-cultural opinion evolution

Authors:
Subhadeep Chakraborty
Affiliations:
Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, Tennessee
Venue:
SBP'13 Proceedings of the 6th international conference on Social Computing, Behavioral-Cultural Modeling and Prediction
Year:
2013

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SBP'12 Proceedings of the 5th international conference on Social Computing, Behavioral-Cultural Modeling and Prediction

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Abstract

This paper extends the framework for merging sociologically inspired rational cognitive models of decision making with social media inspired feedback mechanisms. This model, with certain simplifying assumptions, is used to analyze the effects of external influence on the dynamics of opinion evolution in a fully connected society. The master equation is shown to have the form of the Fokker-Planck equation, and the necessary and sufficient conditions for a polynomial solution are investigated. It is proved that the parameters of the model guarantees the existence of a polynomial solution.