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In many social situations, a discrepancy arises between an individual'sprivate and expressed opinions on a given topic. Motivated by Solomon Asch'sseminal experiments on social conformity and other related socio-psychologicalworks, we propose a novel opinion dynamics model to study how such adiscrepancy can arise in general social networks of interpersonal influence.Each individual in the network has both a private and an expressed opinion: anindividual's private opinion evolves under social influence from the expressedopinions of the individual's neighbours, while the individual determines his orher expressed opinion under a pressure to conform to the average expressedopinion of his or her neighbours, termed the local public opinion. Generalconditions on the network that guarantee exponentially fast convergence of theopinions to a limit are obtained. Further analysis of the limit yields severalsemi-quantitative conclusions, which have insightful social interpretations,including the establishing of conditions that ensure every individual in thenetwork has such a discrepancy. Last, we show the generality and validity ofthe model by using it to explain and predict the results of Solomon Asch'sseminal experiments.

An Influence Network Model to Study Discrepancies in Expressed and Private Opinions