Partial Mean Field Opinion Model (Q6675326)

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opinion model considering many individuals and few traditional media and social media influencers
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Partial Mean Field Opinion Model
opinion model considering many individuals and few traditional media and social media influencers

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    For situations with many individuals but few influencers and media, one can derive the mean-field limit by a partial differential equation (PDE) that describes the opinion dynamics of individuals in the limit of infinitely many individuals but is usually already a good approximation to the dynamics for finitely many individuals. Since here the number of influencers and media is still small and finite, their dynamics are still best described by SDEs but now coupled to PDEs for the evolution of the opinion distributions of individuals.
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