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Derivation of a micro-macro link for collective decision-making systems. Uncover network features based on drift measurements

par Hamann, Heiko;Valentini, Gabriele ;Khaluf, Yara;Dorigo, Marco
Référence Lecture notes in computer science, 8672, page (181-190)
Publication Publié, 2014

Article révisé par les pairs

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Résumé :

Relating microscopic features (individual level) to macroscopic features (swarm level) of self-organizing collective systems is challenging. In this paper, we report the mathematical derivation of a macroscopic model starting from a microscopic one for the example of collective decision-making. The collective system is based on the application of a majority rule over groups of variable size which is modeled by chemical reactions (micro-model). From an approximated master equation we derive the drift term of a stochastic differential equation (macromodel) which is applied to predict the expected swarm behavior. We give a recursive definition of the polynomials defining this drift term. Our results are validated by Gillespie simulations and simulations of the locust alignment.