A Logical Model of the Dynamics of Peer Pressure

Following the general programme of [Jeremy Seligman, Fenrong Liu, and Patrick Girard. Logic in the community. In Mohua Banerjee and Anil Seth, editors, ICLA, volume 6521 of Lecture Notes in Computer Science, pages 178–188. Springer, 2011], we investigate the effect of social relationships on the dynamics of according to which a personʼs preferences are changed in response to the preferences of a ‘peer group’. This involves both aggregation of preferences, to determine the groupʼs preferences and preference change. We propose a simple model of peer pressure which is still sufficiently non-trivial to display some interesting dynamics, and show how the stable configurations can be expressed logically.