Motivation and Approach
The collective behaviour of individuals is widely observed in many natural and social systems. In these systems, Newton's third law, or the law of action--reaction, is often violated. Hence, interaction between individuals is often non-reciprocal. In this study, as the first step towards elucidating the essential mechanism of the aforementioned systems, a minimal model of collective behaviour based on non-reciprocal interactions is proposed by drawing inspiration from friendship formation in human society.
T. Kano, K. Osuka, T. Kawakatsu, N. Matsui and A. Ishiguro, A Minimal Model of Collective Behaviour Based on Non-reciprocal Interactions, Proc. of ECAL 2017 (accepted).