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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CITATION STYLE
Galichon, A., Kominers, S. D., & Weber, S. (2015). The nonlinear bernstein-schröodinger equation in economics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9389, pp. 51–59). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_6
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