Symmetry-breaking phase transition in a dynamical decision model

Gaultier Lambert; Guillaume Chevereau; Eric Bertin

doi:10.1088/1742-5468/2011/06/p06005

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arXiv · 1104.5418

Symmetry-breaking phase transition in a dynamical decision model

Gaultier Lambert·Guillaume Chevereau·Eric Bertin

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Abstract

We consider a simple decision model in which a set of agents randomly choose one of two competing shops selling the same perishable products (typically food). The satisfaction of agents with respect to a given store is related to the freshness of the previously bought products. Agents select with a higher probability the store they are most satisfied with. Studying the model from a statistical physics perspective, both through numerical simulations and mean-field analytical methods, we find a rich behaviour with continuous and discontinuous phase transitions between a symmetric phase where both stores maintain the same level of activity, and a phase with broken symmetry where one of the two shops attracts more customers than the other.

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Gaultier Lambert, Guillaume Chevereau, Eric Bertin. 2011-06-20. Symmetry-breaking phase transition in a dynamical decision model. https://doi.org/10.1088/1742-5468%2F2011%2F06%2Fp06005

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