Notes on optimal transportation
type: Item
instance of: scholarly article
title: Notes on optimal transportation
zbMATH Open document ID: 1185.90019
author: Ivar Ekeland
published in: Economic Theory
publication date: 2010-02-19T00:00:00Z
review text: This article provides a detailed introduction to the mathematical theory of optimal transportation. Based on a series of university lecture notes, it provides a useful insight in this area of optimization. The article begins with a section providing the necessary historic background of the problem. This is followed by a presentation of the general discrete optimal transportation problem and its link to the adverse selection problem, including important elements of \(u\)-convex analysis. Several theorems are presented in this section, with detailed proofs. In the fourth section, the article proceeds to study the continuous case, where the existence of a solution is non-trivial, focussing on Brenier's theorems. The article concludes with an outline of unsolved problems in the area and a list of relevant references.
reviewed by: Efstratios Rappos
Mathematics Subject Classification ID: 90B06
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 5673335
zbMATH Keywords: optimal transportation
zbMATH Keywords: convex analysis
zbMATH Keywords: contract theory
zbMATH Keywords: adverse selection
MaRDI profile type: Publication
full work available at URL: s00199-008-0426-9
OpenAlex ID: W2080799460
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cites work: Q4805362
DOI: 10.1007/S00199-008-0426-9
description: scientific article; zbMATH DE number 5673335