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E-book
Author Galichon, Alfred, author

Title Optimal transport methods in economics / Alfred Galichon
Published Princeton : Princeton University Press, 2016
©2016
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Description 1 online resource (xii, 170 pages) : illustrations
Contents Cover; Title; Copyright; Dedication; Contents; Preface ; 1 Introduction ; 1.1 A Number of Economic Applications ; 1.2 A Mix of Techniques ; 1.3 Brief History ; 1.4 Literature ; 1.5 About These Notes ; 1.6 Organization of This Book ; 1.7 Notation and Conventions ; 2 Monge-Kantorovich Theory
2.1 Couplings 2.2 Optimal Couplings ; 2.3 Monge-Kantorovich Duality ; 2.4 Equilibrium ; 2.5 A Preview of Applications ; 2.6 Exercises ; 2.7 References and Notes ; 3 The Discrete Optimal Assignment Problem ; 3.1 Duality ; 3.2 Stability ; 3.3 Pure Assignments
3.4 Computation via Linear Programming 3.5 Exercises ; 3.6 References and Notes ; 4 One-Dimensional Case ; 4.1 Copulas and Comonotonicity ; 4.2 Supermodular Surplus ; 4.3 The Wage Equation ; 4.4 Numerical Computation ; 4.5 Exercises ; 4.6 References and Notes ; 5 Power Diagrams
5.1 Hotelling's Location Model 5.2 Capacity Constraints ; 5.3 Computation via Convex Optimization ; 5.4 Exercises ; 5.5 References and Notes ; 6 Quadratic Surplus ; 6.1 Convex Analysis from the Point of View of Optimal Transport ; 6.2 Main Results ; 6.3 Vector Quantiles
6.4 Polar Factorization 6.5 Computation by Discretization ; 6.6 Exercises ; 6.7 References and Notes ; 7 More General Surplus ; 7.1 Generalized Convexity ; 7.2 The Main Results ; 7.3 Computation by Entropic Regularization ; 7.4 Exercises ; 7.5 References and Notes
Bibliography Includes bibliographical references (pages 161-168) and index
Notes Online resource; title from PDF title page (EBSCO, viewed June 8, 2017)
Subject Economics -- Mathematical models.
Transportation problems (Programming)
Form Electronic book
ISBN 1400883598 (electronic bk.)
9781400883592 (electronic bk.)