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Optimal Transport Methods in Economics

Author

Listed:
  • Alfred Galichon

    (New York University)

Abstract

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.

Suggested Citation

  • Alfred Galichon, 2016. "Optimal Transport Methods in Economics," Economics Books, Princeton University Press, edition 1, number 10870.
  • Handle: RePEc:pup:pbooks:10870
    as

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    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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    Cited by:

    1. Florian Gunsilius & Susanne M. Schennach, 2017. "A nonlinear principal component decomposition," CeMMAP working papers CWP16/17, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    2. Emmanuel Farhi & Jean Tirole, 2018. "Deadly Embrace: Sovereign and Financial Balance Sheets Doom Loops," Review of Economic Studies, Oxford University Press, vol. 85(3), pages 1781-1823.
    3. Roger Koenker, 2017. "Quantile regression 40 years on," CeMMAP working papers CWP36/17, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. Gershon Wolansky, 2018. "Happy family of stable marriages," Papers 1805.06687, arXiv.org.
    5. Ryan Cumings-Menon, 2017. "Shape-Constrained Density Estimation via Optimal Transport," Papers 1710.09069, arXiv.org, revised Nov 2018.
    6. repec:eee:inecon:v:114:y:2018:i:c:p:299-315 is not listed on IDEAS
    7. Blanchet, Adrien & Carlier, Guillaume & Nenna, Luca, 2017. "Computation of Cournot-Nash equilibria by entropic regularization," TSE Working Papers 17-785, Toulouse School of Economics (TSE).
    8. Aloysius Siow & Eric Mak, 2017. "Occupational Choice and Matching in the Labor Market," 2017 Meeting Papers 30, Society for Economic Dynamics.
    9. Adrien Bilal & Esteban Rossi-Hansberg, 2018. "Location as an Asset," NBER Working Papers 24867, National Bureau of Economic Research, Inc.
    10. Marc Hallin, 2018. "From Mahalanobis to Bregman via Monge and Kantorovich towards a “General Generalised Distance”," Working Papers ECARES 2018-12, ULB -- Universite Libre de Bruxelles.
    11. Arthur Charpentier & Alfred Galichon & Lucas Vernet, 2019. "Optimal transport on large networks a practitioner guide," Working Papers hal-02173210, HAL.
    12. Fally, Thibault & Hillberry, Russell, 2018. "A Coasian model of international production chains," Journal of International Economics, Elsevier, vol. 114(C), pages 299-315.
    13. Zhongzhi Lawrence He, 2018. "Generalized Information Ratio," Papers 1803.01381, arXiv.org, revised Apr 2018.
    14. repec:spr:joecth:v:67:y:2019:i:2:d:10.1007_s00199-018-1118-8 is not listed on IDEAS
    15. repec:eee:econom:v:199:y:2017:i:2:p:117-130 is not listed on IDEAS
    16. Arthur Charpentier & Alfred Galichon & Lucas Vernet, 2019. "Optimal transport on large networks a practitioner guide," Papers 1907.02320, arXiv.org.
    17. repec:spr:joptap:v:176:y:2018:i:1:d:10.1007_s10957-017-1206-0 is not listed on IDEAS
    18. Xavier D'Haultfoeuille & Christophe Gaillac & Arnaud Maurel, 2018. "Rationalizing Rational Expectations? Tests and Deviations," NBER Working Papers 25274, National Bureau of Economic Research, Inc.
    19. repec:spr:joecth:v:67:y:2019:i:2:d:10.1007_s00199-018-1126-8 is not listed on IDEAS
    20. Zhongzhi Lawrence He, 2018. "Comparing Asset Pricing Models: Distance-based Metrics and Bayesian Interpretations," Papers 1803.01389, arXiv.org.
    21. Florian Gunsilius, 2018. "Point-identification in multivariate nonseparable triangular models," Papers 1806.09680, arXiv.org.
    22. Dupuy, Arnaud & Galichon, Alfred & Sun, Yifei, 2016. "Estimating Matching Affinity Matrix under Low-Rank Constraints," IZA Discussion Papers 10449, Institute of Labor Economics (IZA).
    23. Brendan Pass, 2017. "Interpolating between matching and hedonic pricing models," Papers 1701.04431, arXiv.org.

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