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Published in:
2013 | OriginalPaper | Chapter
Analytical Methods to Investigate the Effects of External Influence on Socio-Cultural Opinion Evolution
Author : Subhadeep Chakraborty
Published in: Social Computing, Behavioral-Cultural Modeling and Prediction
Publisher: Springer Berlin Heidelberg
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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.