The nonlinear bernstein-schröodinger equation in economics

Alfred Galichon, Scott Duke Kominers, Simon Weber

    Research output: Chapter in Book/Report/Conference proceedingConference contribution


    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.

    Original languageEnglish (US)
    Title of host publicationGeometric Science of Information - 2nd International Conference, GSI 2015, Proceedings
    EditorsFrank Nielsen, Frank Nielsen, Frank Nielsen, Frederic Barbaresco, Frederic Barbaresco, Frank Nielsen
    PublisherSpringer Verlag
    Number of pages9
    ISBN (Print)9783319250397, 9783319250397
    StatePublished - 2015
    Event2nd International Conference on Geometric Science of Information, GSI 2015 - Palaiseau, France
    Duration: Oct 28 2015Oct 30 2015

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349


    Other2nd International Conference on Geometric Science of Information, GSI 2015

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • General Computer Science


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