The Nonlinear Bernstein-Schrödinger Equation in Economics

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

Standard

The Nonlinear Bernstein-Schrödinger Equation in Economics. / Galichon, Alfred; Kominers, Scott; Weber, Simon.

GSI 2015: Geometric Science of Information: International Conference on Geometric Science of Information. Vol. 9389 2016. p. 51-59 (Lecture Notes in Computer Science).

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

Harvard

Galichon, A, Kominers, S & Weber, S 2016, The Nonlinear Bernstein-Schrödinger Equation in Economics. in GSI 2015: Geometric Science of Information: International Conference on Geometric Science of Information. vol. 9389, Lecture Notes in Computer Science, pp. 51-59. https://doi.org/10.1007/978-3-319-25040-3_6

APA

Galichon, A., Kominers, S., & Weber, S. (2016). The Nonlinear Bernstein-Schrödinger Equation in Economics. In GSI 2015: Geometric Science of Information: International Conference on Geometric Science of Information (Vol. 9389, pp. 51-59). (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-319-25040-3_6

Vancouver

Galichon A, Kominers S, Weber S. The Nonlinear Bernstein-Schrödinger Equation in Economics. In GSI 2015: Geometric Science of Information: International Conference on Geometric Science of Information. Vol. 9389. 2016. p. 51-59. (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-319-25040-3_6

Author

Galichon, Alfred ; Kominers, Scott ; Weber, Simon. / The Nonlinear Bernstein-Schrödinger Equation in Economics. GSI 2015: Geometric Science of Information: International Conference on Geometric Science of Information. Vol. 9389 2016. pp. 51-59 (Lecture Notes in Computer Science).

Bibtex - Download

@inproceedings{685bd11de82e4e719bf52b62ed72e847,
title = "The Nonlinear Bernstein-Schr{\"o}dinger Equation in Economics",
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{\"o}dinger 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.",
author = "Alfred Galichon and Scott Kominers and Simon Weber",
year = "2016",
month = "4",
day = "3",
doi = "10.1007/978-3-319-25040-3_6",
language = "English",
isbn = "9783319250403",
volume = "9389",
series = "Lecture Notes in Computer Science",
publisher = "Berlin: Springer-Verlag, 1973-",
pages = "51--59",
booktitle = "GSI 2015: Geometric Science of Information",

}

RIS (suitable for import to EndNote) - Download

TY - GEN

T1 - The Nonlinear Bernstein-Schrödinger Equation in Economics

AU - Galichon, Alfred

AU - Kominers, Scott

AU - Weber, Simon

PY - 2016/4/3

Y1 - 2016/4/3

N2 - 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.

AB - 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.

U2 - 10.1007/978-3-319-25040-3_6

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

M3 - Conference contribution

SN - 9783319250403

VL - 9389

T3 - Lecture Notes in Computer Science

SP - 51

EP - 59

BT - GSI 2015: Geometric Science of Information

ER -