Bounded Rationality and Animal Spirits: A Fluctuation-Response Approach to Slutsky Matrices

Jerome Garnier-Brun, J.-P. Bouchaud () and Michael Benzaquen ()
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Michael Benzaquen: LadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique

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Abstract: The Slutsky equation, central in consumer choice theory, is derived from the usual hypotheses underlying most standard models in Economics, such as full rationality, homogeneity, and absence of interactions. We present a statistical physics framework that allows us to relax such assumptions. We first derive a general fluctuation-response formula that relates the Slutsky matrix to spontaneous fluctuations of consumption rather than to response to changing prices and budget. We then show that, within our hypotheses, the symmetry of the Slutsky matrix remains valid even when agents are only boundedly rational but non-interacting. We then propose a model where agents are influenced by the choice of others, leading to a phase transition beyond which consumption is dominated by herding (or "fashion") effects. In this case, the individual Slutsky matrix is no longer symmetric, even for fully rational agents. The vicinity of the transition features a peak in asymmetry.

Date: 2023
New Economics Papers: this item is included in nep-upt
Note: View the original document on HAL open archive server: https://hal.science/hal-03797176
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Published in Journal of Physics: Complexity, 2023, 4, pp.015004

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03797176

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