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arXiv · 1508.05114

The nonlinear Bernstein-Schr\"odinger equation in Economics

Alfred Galichon·Scott Kominers·Simon Weber
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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-Schr\"odinger 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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Alfred Galichon, Scott Kominers, Simon Weber. 2015-07-14. The nonlinear Bernstein-Schr\"odinger equation in Economics. https://arxiv.org/abs/1508.05114

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