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2015
- handle: 10670/1.upqehs
- isbn: 9783319250397
- hal: hal-03393000
- SCIENCESPO: 2441/1m1g5mt5198lk821sbb61pji5o
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info:eu-repo/semantics/altIdentifier/hdl/2441/1m1g5mt5198lk821sbb61pji5o
Ce document est lié à :
info:eu-repo/grantAgreement/EC/FP7/313699/EU/Economics of Matching Markets: Theoretical and Empirical Investigations/ECOMATCH
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Economic theory Political economyCiter ce document
Alfred Galichon et al., « The Nonlinear Bernstein-Schrödinger Equation in Economics », HAL-SHS : économie et finance, ID : 10670/1.upqehs
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Résumé
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.