The nonlinear bernstein-schröodinger equation in economics

Alfred Galichon; Scott Duke Kominers; Simon Weber

doi:10.1007/978-3-319-25040-3_6

The nonlinear bernstein-schröodinger equation in economics

Alfred Galichon, Scott Duke Kominers, Simon Weber

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	Geometric Science of Information - 2nd International Conference, GSI 2015, Proceedings
Editors	Frank Nielsen, Frank Nielsen, Frank Nielsen, Frederic Barbaresco, Frederic Barbaresco, Frank Nielsen
Publisher	Springer Verlag
Pages	51-59
Number of pages	9
ISBN (Print)	9783319250397, 9783319250397
DOIs	https://doi.org/10.1007/978-3-319-25040-3_6
State	Published - 2015
Event	2nd International Conference on Geometric Science of Information, GSI 2015 - Palaiseau, France Duration: Oct 28 2015 → Oct 30 2015

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9389
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	2nd International Conference on Geometric Science of Information, GSI 2015
Country	France
City	Palaiseau
Period	10/28/15 → 10/30/15

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-319-25040-3_6

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Cite this

Galichon, A., Kominers, S. D., & Weber, S. (2015). The nonlinear bernstein-schröodinger equation in economics. In F. Nielsen, F. Nielsen, F. Nielsen, F. Barbaresco, F. Barbaresco, & F. Nielsen (Eds.), Geometric Science of Information - 2nd International Conference, GSI 2015, Proceedings (pp. 51-59). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9389). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_6

The nonlinear bernstein-schröodinger equation in economics. / Galichon, Alfred; Kominers, Scott Duke; Weber, Simon.

Geometric Science of Information - 2nd International Conference, GSI 2015, Proceedings. ed. / Frank Nielsen; Frank Nielsen; Frank Nielsen; Frederic Barbaresco; Frederic Barbaresco; Frank Nielsen. Springer Verlag, 2015. p. 51-59 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9389).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Galichon, A, Kominers, SD & Weber, S 2015, The nonlinear bernstein-schröodinger equation in economics. in F Nielsen, F Nielsen, F Nielsen, F Barbaresco, F Barbaresco & F Nielsen (eds), Geometric Science of Information - 2nd International Conference, GSI 2015, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9389, Springer Verlag, pp. 51-59, 2nd International Conference on Geometric Science of Information, GSI 2015, Palaiseau, France, 10/28/15. https://doi.org/10.1007/978-3-319-25040-3_6

Galichon A, Kominers SD, Weber S. The nonlinear bernstein-schröodinger equation in economics. In Nielsen F, Nielsen F, Nielsen F, Barbaresco F, Barbaresco F, Nielsen F, editors, Geometric Science of Information - 2nd International Conference, GSI 2015, Proceedings. Springer Verlag. 2015. p. 51-59. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-25040-3_6

Galichon, Alfred ; Kominers, Scott Duke ; Weber, Simon. / The nonlinear bernstein-schröodinger equation in economics. Geometric Science of Information - 2nd International Conference, GSI 2015, Proceedings. editor / Frank Nielsen ; Frank Nielsen ; Frank Nielsen ; Frederic Barbaresco ; Frederic Barbaresco ; Frank Nielsen. Springer Verlag, 2015. pp. 51-59 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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