концентрация меры http://arxiv.org/abs/1410.8001 The hipster effect: When anticonformists all look the same
Jonathan Touboul
(Submitted on 29 Oct 2014)
In such different domains as statistical physics and spin glasses, neurosciences, social science, economics and finance, large ensemble of interacting individuals taking their decisions either in accordance (mainstream) or against (hipsters) the majority are ubiquitous. Yet, trying hard to be different often ends up in hipsters consistently taking the same decisions, in other words all looking alike. We resolve this apparent paradox studying a canonical model of statistical physics, enriched by incorporating the delays necessary for information to be communicated. We show a generic phase transition in the system: when hipsters are too slow in detecting the trends, they will keep making the same choices and therefore remain correlated as time goes by, while their trend evolves in time as a periodic function. This is true as long as the majority of the population is made of hipsters. Otherwise, hipsters will be, again, largely aligned, towards a constant direction which is imposed by the mainstream choices. Beyond the choice of the best suit to wear this winter, this study may have important implications in understanding dynamics of inhibitory networks of the brain or investment strategies finance, or the understanding of emergent dynamics in social science, domains in which delays of communication and the geometry of the systems are prominent.
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Physics and Society (physics.soc-ph)
Cite as: arXiv:1410.8001 [cond-mat.dis-nn]
(or arXiv:1410.8001v1 [cond-mat.dis-nn] for this version)
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