The Nonlinear Bernstein-Schrödinger Equation in Economics

Alfred Galichon (), Scott Kominers and Simon Weber
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Alfred Galichon: ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique
Simon Weber: ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique

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Abstract: In this paper we relate the Equilibrium Assignment Problem (EAP), which is underlying in several economics models, to a system of nonlinear equations that we call the "nonlinear Bernstein-Schrödinger system", which is well-known in the linear case, but whose nonlinear extension does not seem to have been studied. We apply this connection to derive an existence result for the EAP, and an efficient computational method.

Keywords: Equilibrium Assignment Problem; Economics model; Nonlinear Bernstein-Schrödinger system (search for similar items in EconPapers)
Date: 2015
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Published in Frank Nielson; Frédéric Barbaresco. Geometric Science of Information, Springer, pp.51 - 59, 2015, 9783319250397

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Related works:
Working Paper: The nonlinear Bernstein-Schr\"odinger equation in Economics (2015)
Working Paper: The Nonlinear Bernstein-Schrödinger Equation in Economics (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:spmain:hal-03393000

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