The Nonlinear Bernstein-Schrödinger Equation in Economics

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Title of host publicationGSI 2015: Geometric Science of Information
DateE-pub ahead of print - 3 Apr 2016
Pages51-59
Number of pages9
Volume9389
Original languageEnglish

Publication series

NameLecture Notes in Computer Science
PublisherBerlin: Springer-Verlag, 1973-
ISSN (Print)0302-9743

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.

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