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This œuvre, The nonlinear Bernstein-Schrodinger equation in Economics, by Alfred Galichon is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

The nonlinear Bernstein-Schrodinger equation in Economics


The nonlinear Bernstein-Schrodinger equation in Economics
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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.
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The nonlinear Bernstein-Schrodinger equation in Economics
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