Convergence of Opinion Diffusion is PSPACE-complete

12/20/2019

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by   Dmitry Chistikov, et al.

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We analyse opinion diffusion in social networks, where a finite set of individuals is connected in a directed graph and each simultaneously changes their opinion to that of the majority of their influencers. We study the algorithmic properties of the fixed-point behaviour of such networks, showing that the problem of establishing whether individuals converge to stable opinions is PSPACE-complete.