Dynamic Epistemic Logic of Faith Diffusion in Cultural Circles

Abstract

How does faith diffuse in a social network that the same person may belong to different cultural circles and with different threshold values to their influence? In this article we refer to Morrison and Naumov’s group conformity model with thresholds as the cultural circle based threshold models studying the faith diffusion on social networks. Cultural circle based threshold model consists of a network graph with agents in different cultural circles and the corresponding cultural circle threshold values which regulate the diffusion. We show that the recently proposed “propositional opinion propagation model” based model modelling an agent’s conformity to different social groups and the threshold model modelling an agent’s conformity to the society as whole are two special cases of the cultural circle based threshold model. We construct a dynamic epistemic logic to describe the diffusion dynamics and the epistemic properties of the influence relation in cultural circle based threshold model.