A gradient flow approach to the model of positive feedback in decision-making

Natalia Zabzina

Chaos, Solitons & Fractals, 2015, vol. 77, issue C, 215-224

Abstract: Recent studies on social dynamics have been done by using tools and methods of physics and economics. The main idea is that the regularity observed on a global scale arises out of local interactions between the group members. We consider the model describing one of the major interaction mechanism, the model of positive feedback. We propose a geometrical reformulation of this model in terms of gradient flow equations on a Riemannian manifold. The benefit of this reformulation is that we introduce an alternative method to study phenomena of the well known model. We suggest the analogy with a particle moving on curved manifold. We believe that this analogy will allow us to extend powerful mathematical tools from analytical mechanics to the biological systems.

Keywords: Mathematical model of positive feedback in decision making; Gradient flow equations; Differential geometry, (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:77:y:2015:i:c:p:215-224

DOI: 10.1016/j.chaos.2015.05.027

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