The entropic basis of collective behaviour

• Published in: Journal of the Royal Society interface 2015-05, Vol.12 (106), p.20150037-20150037
• Main Authors: Mann, Richard P., Garnett, Roman
• Format: Article
• Language: English
• Subjects: Causal Entropic Principle; Collective Behaviour; Computer Simulation; Cooperative Behavior; Decision Making; Decision Support Techniques; Entropic Forces; Entropy; Galton-Watson process; Interpersonal Relations; Machine Learning; Maximum Entropy; Models, Statistical; Weber's Law
• ISSN: 1742-5689; 1742-5662; 1742-5662
• DOI: 10.1098/rsif.2015.0037

We identify a unique viewpoint on the collective behaviour of intelligent agents. We first develop a highly general abstract model for the possible future lives these agents may encounter as a result of their decisions. In the context of these possibilities, we show that the causal entropic principle, whereby agents follow behavioural rules that maximize their entropy over all paths through the future, predicts many of the observed features of social interactions among both human and animal groups. Our results indicate that agents are often able to maximize their future path entropy by remaining cohesive as a group and that this cohesion leads to collectively intelligent outcomes that depend strongly on the distribution of the number of possible future paths. We derive social interaction rules that are consistent with maximum entropy group behaviour for both discrete and continuous decision spaces. Our analysis further predicts that social interactions are likely to be fundamentally based on Weber's law of response to proportional stimuli, supporting many studies that find a neurological basis for this stimulus–response mechanism and providing a novel basis for the common assumption of linearly additive ‘social forces’ in simulation studies of collective behaviour.