Title	Topics in Equilibrium Transportation
Creator	Galichon, Alfred
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-04-11T09:02
Description	Motivated by problems from economics, I will present a framework for "Equilibrium Transportation", which embeds the Monge-Kantorovich "Optimal Transportation" problem, but is more general, and more natural in some applications. In the discrete case, this framework allows for a unified description of Gale and Shapley's stable marriage problem, as well as Koopmans and Beckmann's optimal assignment problem. I will sketch the link with "Galois connections" and recent results by Trudinger on the local theory of prescribed Jacobian equations. I will then turn to computational issues, and will present an extension of the Iterated Projections algorithm that allows for efficient approximate computation of these problems.
Extent	53 minutes
Subject	Mathematics; Partial differential equations; Calculus of variations and optimal control; optimization
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: New York University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-10-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0356569
URI	http://hdl.handle.net/2429/63219
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Topics in Equilibrium Transportation Galichon, Alfred

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