TY  - BOOK
AU  - Galichon,Alfred
TI  - Optimal transport methods in economics [electronic resource]
SN  - 9780691172767
AV  - HB135 .G355 2016
U1  - 330.01/51 23
PY  - 2016///]
CY  - Princeton
PB  - Princeton University Press
KW  - Economics
KW  - Mathematical models
KW  - Transportation problems (Programming)
KW  - fast
N1  - Includes bibliographical references (pages 161-168) and index; Machine generated contents note: 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; Note continued: 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 -- 8.Transportation on Networks -- 8.1.Setup -- 8.2.Optimal Flow Problem -- 8.3.Integrality -- 8.4.Computation via Linear Programming -- 8.5.Exercises -- 8.6.References and Notes -- 9.Some Applications -- 9.1.Random Sets and Partial Identification -- 9.2.Identification of Discrete Choice Models -- 9.3.Hedonic Equilibrium -- 9.4.Identification via Vector Quantile Methods -- 9.5.Vector Quantile Regression -- 9.6.Implementable Mechanisms -- 9.7.No-Arbitrage Pricing of Financial Derivatives -- 9.8.References and Notes; Note continued: 10.Conclusion -- 10.1.Mathematics -- 10.2.Computation -- 10.3.Duality -- 10.4.Toward a Theory of "Equilibrium Transport" -- 10.5.References and Notes -- A.Solutions to the Exercises -- A.1.Solutions for Chapter 2 -- A.2.Solutions for Chapter 3 -- A.3.Solutions for Chapter 4 -- A.4.Solutions for Chapter 5 -- A.5.Solutions for Chapter 6 -- A.6.Solutions for Chapter 7 -- A.7.Solutions for Chapter 8 -- B.Linear Programming -- B.1.Minimax Theorem -- B.2.Duality -- B.3.Link with Zero-Sum Games -- B.4.References and Notes -- C.Quantiles and Copulas -- C.1.Quantiles -- C.2.Copulas -- C.3.References and Notes -- D.Basics of Convex Analysis -- D.1.Convex Sets -- D.2.Convex Functions -- D.3.References and Notes -- E.McFadden's Generalized Extreme Value Theory -- E.1.References and Notes
N2  - Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models.Authoritative and accessible, Optimal Transport Methods in Economics also features numerous exercises throughout that help you develop your mathematical agility, deepen your computational skills, and strengthen your economic intuition.The first introduction to the subject written especially for economistsIncludes programming examplesFeatures numerous exercises throughoutIdeal for students and researchers alike
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