Alfred Galichon

Econometrics, Quantitative Economics, Data Science

Author Archive

talksarchive

Older Talks

(Recent and upcoming talks can be found here.)

2018-2019:

  • June 23-29, 2019, workshop “People in Optimal Transport and Applications,” Cortona, Italy
  • June 27, 2019, microeconometrics seminar, European Union Joint Research Center, Ispra, Italy
  • June 7-8, 2019, Conference “Economic Applications of Quantile Regression 2.0”, Nova School of Business and Economics, Cascais, Portugal
  • June 3-7, 2019, workshop “Optimal Transport in Analysis and Probability,” Erwin Schrödinger Institute, Vienna
  • April 17, 2019, Economics seminar, Central European University, Budapest
  • April 10-12, 2019, workshop on Economics meets the Mathematical Sciences, Fields Institute, Toronto
  • March 25-29, 2019, Workshop on optimal transport, thematic semester on “Calculus of Variations”, IMT, Toulouse
  • February 21, 2019, Seminaire Paris-Sorbonne University
  • November 26-30, 2018, NYU Shanghai
  • November 9-10, 2018, CEMMAP UCL and Northwestern conference on “Incomplete models,” Northwestern university
  • November 7, 2018, Economics seminar, NYU Abu Dhabi

2017-2018:

  • June 26-29, 2018, keynote speaker, 5th annual conference of the International Association of Applied Econometrics (IAAE), Montreal
  • June 25, 2018, SWET-EWGET Conference in the honor of Nicholas Yannelis, Paris
  • June 12, 2018, Conference on “Insurance, Actuarial Science, Data and Models”, Fédération Française de l’Assurance, Paris
  • June 4-6, 2018, Modern mathematical methods for data analysis, Université de Liège
  • May 31, 2018, Mathematics and statistics seminar, Toulouse School of Economics
  • May 29, 2018, Econometrics seminar, University College London
  • April 20, 2018, Econometrics seminar, University of Southern California
  • April 18, 2018, Econometrics and Applied Microeconomics seminar, CalTech
  • April 17, 2018, Econometrics seminar, University of California San Diego
  • April 13-14, 2018, Market design conference, Columbia University
  • April 11, 2018, Econometrics seminar, Yale University
  • April 10, 2018, ORFE departmental colloquium, Princeton University
  • April 9, 2018, Econometrics research seminar, Yale University
  • March 7, 2018, seminar, department of statistics, London School of Economics
  • December 13, 2017, Workshop on “Mean Field Games, Spatial Economics, Equilibrium and Collective Decision”, ENS Paris-Saclay
  • December 11, 2017, Multidisciplinary optimization seminar in Toulouse
  • December 5, 2017, ECARES seminar, Université libre de Bruxelles
  • November 30-December 1, 2017, keynote speaker, 9th French econometrics conference, CREST, Palaiseau, France
  • October 17, 2017, Econometrics workshop, Toulouse School of Economics
  • October 12, 2017, Econometrics seminar, Duke University
  • October 4, 2017, Applied economics workshop, Wharton school, University of Pennsylvannia
  • September 8, 2017, Economics lunch seminar, Sciences Po

2016-2017:

  • June 6-7, 2017, Cowles conference on economic theory, Yale university
  • May 6, 2017, Econometrics lunch seminar, NYU
  • April 21-22, 2017, CEMMAP UCL and Vanderbilt conference on “Econometrics and Models of Strategic Interactions,” Vanderbilt university
  • April 9-14, 2017, Workshop “Generated Jacobian Equations: from Geometric Optics to Economics,” Banff International Research Station. Video here.
  • February 21, 2017, Econometrics lunch seminar, Penn State University
  • December 2, 2016, Mechanism design seminar, Columbia University
  • November 18, 2016, Econometrics seminar, University of Illinois Urbana-Champaign
  • November 15, 2016, Lab seminar, Microsoft Research New York
  • October 26, 2016, Courant Mathematics in Finance Alumni Association, NYU
  • September 22, 2016, Mathematical finance seminar, Columbia University
  • September 2, 2016, MOKAPLAN seminar, Inria, Paris

2015-2016:

  • July 14, 2016, Mathematical physics seminar, Grupo de Fisica Matematica, Universidade de Lisboa, July 14, 2016
  • March 29, 2016, Machine Learning Seminar, Courant Institute, NYU
  • March 16, 2016, Applied Mathematics Colloquium/Seminar, Fields Institute, Toronto
  • February 23, 2016, Econometrics seminar, Penn State University
  • January 2016, American Economic Association Meetings, San Francisco
  • December 4, 2015, Econometrics seminar, University of Toronto
  • November 13, 2015, Econometrics seminar, University of Southern California
  • November 6, 2015, Applied mathematics seminar, Courant Institute, NYU
  • November 5, 2015, CRATE lunch seminar, Economics Department, NYU
  • October 28-30, 2015, GSI’15, 2nd conference on Geometric Science of Information, Ecole polytechnique. Video here.
  • October 15, 2015, Roundtable on the collaborative economy, Ateliers de la Concurrence, DGCCRF, Paris. Audio here.

2014-2015:

  • June 12, 2015, CORE seminar, Louvain-la-Neuve
  • April 30, 2015, Econometrics lunch, MIT
  • April 16, 2015, Econometrics workshop, University of Chicago
  • April 15, 2015, Econometrics seminar, University of Iowa
  • April 10, 2015, Econometrics seminar, Boston College
  • April 9, 2015, Empirical Microeconomics workshop, University of Pennsylvannia
  • April 2, 2015, Microeconomics seminar, University of Zurich
  • March 31, 2015, Econometrics Journal special invited session, Royal Economic Society Conference 2015, Manchester. Video here.
  • March 6, 2015, “Big Data Finance” Conference, Courant Institute, New York University
  • December 16, 2014, Cemmap seminar, University College London
  • November 21, 2014, Stochastics and statistics seminar, MIT Sloan School of Management
  • November 18, 2014, Theory lunch, MIT
  • November 14, 2014, Econometrics seminar, Boston University
  • November 12, 2014, Applied Mathematics seminar, Courant Institute for Mathematical Sciences, NYU
  • October 30, 2014, Econometrics lunch, MIT
  • October 16, 2104, Econometrics seminar, University of California at Berkeley
  • October 15, 2014, Econometrics seminar, Stanford University
  • October 9, 2014, Econometrics workshop, Harvard-MIT
  • October 7, 2014, Industrial Organization seminar, UCLA
  • October 6, 2014, Econometrics and Applied Microeconomics seminar, CalTech
  • September 30, 2014, Joint Econometrics and Applied Microeconomics seminar, New York University
  • September 25, 2014, Economic Theory seminar, Carnegie Mellon University
  • September 23, 2014, Econometrics seminar, Princeton University
  • September 18, 2014, Labor/Public Economic Workshop, Yale University
  • September 17, 2014, Invited lectures, Conference on Optimization, Transportation and Equilibrium in Economics, Fields Institute, Toronto
  • September 11, 2014, Econometrics seminar, Columbia University
  • September 9, 2014, Labor lunch, MIT

2013-2014:

  • July 10, 2014, Economics seminar, EIEF, Rome
  • June 19, 2014, Conference in honor of Ivar Ekeland’s 70th birthday, Université Paris Dauphine
  • June 16-29, 2014, Guest Lectures on the Econometrics of Matching Markets, Toulouse School of Economics
  • June 5, 2014, Workshop on Econometrics Methods, Sciences Po
  • June 4, 2014, Economics seminar, Aalto University, Helsinki
  • May 19, 2014, NERA / STICERD Industrial Organization seminar, London School of Economics
  • April 10, 2014, Malinvaud Seminar, CREST, Paris
  • March 17, 2014, Roy Seminar, Paris
  • March 4, 2014, EPFL, Lausanne
  • February 14, 2014, Séminaire Léon Brillouin, IRCAM, Paris. Video here.
  • November 22, 2013, Research seminar, Austrian Central Bank, Wien
  • October 19, 2013, Harvard-MIT econometrics seminar
  • September 13, 2013, lunch seminar, Sciences Po Department of Economics

2012-1013:

  • June 11, 2013, workshop “Advances in Mechanism Design”, Paris School of Economics
  • June 6, 2013, workshop on Economic Theory, University of Manchester
  • June 5, 2013,  Finance & Stochastics seminar, Imperial College London
  • May 16, 2013, Econometrics and Statistics Seminar, Ecares, Université Libre de Bruxelles
  • May 10, 2013,  joint Econometrics-Family economics workshop, University of Chicago
  • April 26, 2013, Econometrics Seminar, Università della Svizzera italiana, Lugano
  • April 22-26, 2013, Workshop “Partial Identification”, Oberwolfach
  • April 8, 2013, Lunch seminar, Economics Department, Ecole Polytechnique
  • March 5, 2013, brown bag seminar, CalTech
  • February 19, 2013, Conference in honor of Rose-Anne Dana, Dauphine
  • December 14, 2012, Groupe de Travail Humaniste, Université Pierre-et-Marie-Curie, Paris
  • November 26-30, 2012, Workshop “Frontiers in Quantile Regression”, Oberwolfach
  • November 22, 2012, Econometrics seminar, Universite de Montreal
  • November 12, 2012, Econometrics seminar, Queen Mary University, London
  • November 5, 2012, Economics Research Seminar, ETH, Zurich

2011-2012:

  • June 21, 2012, “OTtO” workshop, Orsay
  • June 8, 2012, FiME workshop, IHP, Paris
  • May 21-25, 2012, Guest lecture, French Statistical Society, Brussels
  • May 16, 2012, Economics Seminar, Stanford GSB
  • May 4, 2012, Economics Seminar, SciencesPo, Paris
  • May 2, 2012, Economics Seminar, Paris School of Economics
  • April 11, 2012, Economics Seminar, HEC, Paris
  • March 29, 2012, Econometrics Seminar, Columbia University
  • March 15, 2012, Malinvaud Seminar, CREST, Paris
  • March 5, 2012, Economics Seminar, Queen Mary University, London
  • March 2, 2012, Economics Seminar, University of Alicante
  • December 14, 2011, Econometrics and Statistics seminar, Tilburg University
  • December 7, 2011, ESRC Seminar on testability in game theory, Warwick
  • November 25, 2011, Plenary speaker, Conference on Optimization & Practices in Industry, Clamart

2010-2011:

  • June 7, 2011, Finance seminar, Imperial College, London
  • May 20, 2011, Econometrics seminar, DEFI, Université de la Méditerranée
  • May 9, 2011, Séminaire Parisien d’Optimisation, Institut Henri Poincare
  • March 2, 2011, Econometrics colloquium, Columbia University
  • Feb 21, 2011, Economic Theory Seminar, Columbia University
  • Jan 8, 2011, Econometric Society Winter Meeting, Denver
  • Dec 13, 2010, 2nd meeting of the French Econometrics Society, Paris
  • Nov 30, 2010, Econometrics seminar, Cemmap, University College London
  • Nov 25, 2010, Workshop “Recent Advances in Revelealed Preferences,” Universite Paris-Dauphine, Paris
  • Oct 27, 2010, Economics department, University of British Columbia, Vancouver
  • Sept 24, 2010, Conference “Partial Identification and Revealed Preferences,” Montreal
  • Sept 1, 2010 Conference OKASE, Toulouse School of Economics
  • Aug 19, 2010, Econometric Society World Congress, Shanghai

2009-2010:

  • June 2, 2010, Econometrics workshop, UCLA
  • May 19, 2010, Econometrics seminar, UC Riverside
  • May 18, 2010, Econometrics seminar, UC San Diego
  • May 13, 2010, Labor Economics and Econometrics seminar, Northwestern University
  • May 12, 2010, Econometrics workshop, University of Chicago, Economics Department
  • May 5, 2010, Stochastic Analysis Seminar, Institut Henri Poincaré
  • April 27, 2010, Economic Theory seminar, Vanderbilt University
  • April 15, 2010, Econometrics and Statistics seminar, University of Chicago Booth School of Business
  • April 7, Econometrics and applied microeconomics seminar, CalTech
  • March 16, 2010, Conference “Large portfolio, Concentration and Granularity,” Paris
  • March 8, 2010, Econometrics seminar, Paris School of Economics
  • Feb 4, 2010, Econometrics seminar, Columbia University
  • Jan, 4, 2010, North American Winter meeting of the Econometric Society, Atlanta
  • Dec 17, 2009, Stochastics seminar, University of Freiburg
  • Dec 4, 2009, Bachelier Seminar, Paris
  • Oct 13, 2009, Economic Theory seminar, Toulouse School of Economics

2008-2009:

  • July 7, 2009, “Optimization, Transport and Equilibrium” workshop, Paris
  • June 3, 2009, North American Summer Meeting of the Econometric Society, Boston
  • April 20, 2009, Risk Seminar, Department of Statistics, Columbia University
  • March 20, 2009, 2nd International Financial Research Forum, Europlace Institute of Finance, Paris
  • Feb 28, 2009, conference “New Economics of the Family”, Milton Friedman Institute, the University of Chicago
  • Jan 16, 2009, IHPST, Paris
  • Nov 32, 2008, Statistics seminar, LUISS, Rome
  • Oct 24, 2008, Cireq conference on Inference with Incomplete Models, Montreal
  • Oct 17, 2009, Workshop on dynamic and multivariate measures, IHP, Paris
  • Oct 6, 2008, Collegio Carlo Alberto, Torino

2007-2008:

  • Jul 18, 2008, “Optimization, Transport and Equilibrium” workshop, University of British Columbia, Vancouver
  • June 26, 2008, “Risk, Decision and Uncertainty” conference, Oxford
  • June 12, 2008, Workshop “Nonsmooth Inference, Analysis and Dependence,” Goteborg
  • June 12, 2008, Finance seminar, Toulouse School of Economics
  • May 22, 2008, Finance seminar, Universite de Geneve
  • May 20, 2008, Workshop on New Directions in Quantitative Finance, Paris
  • May 16, 2008, Bachelier Seminar, Paris
  • March 28, 2008, Conference “Inference in Partially Identified Models and Applications,” UCL, London
  • Jan 5, 2008, North American Winter meeting of the Econometric Society, New Orleans
  • Nov 29, 2007, Malinvaud seminar, CREST, Paris
  • Nov 9, 2007, Workshop “Model Validation, Predictive Ability and Model Risk,” Banque de France, Paris
  • June 25, 2007, “Optimization, Transport and Equilibrium” workshop, Columbia University
  • May 22, 2007, Econometrics Seminar, Northwestern University
  • April 27, 2007, PhD Defense, Harvard University

May 18th, 2017

categories: archives

coursesarchive

Past Classes

(Current classes can be found here.)

May 17th, 2017

categories: archives

Protected: SorinLectures2017

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March 23rd, 2017

categories: events

Protected: ReadingGroupMFG2017

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February 4th, 2017

categories: events

bestofmybookshelf

Best of my (scientific) bookshelf

Without any logical order or any explanation of my picks, here is a selection of my very favorite books:

  • Villani, C. (2003). Topics in Optimal Transportation. AMS.
  • Vohra, R. (2011). Mechanism design. A linear programming approach. Cambridge.
  • Vohra, R. (2004). Advanced Mathematical Economics. Routledge.
  • Frankel, T. (2012). The geometry of physics. An introduction. Cambridge.
  • Gale, D. (1960). The theory of linear economic models. Chicago.
  • Burkard, R. Dell’Amico, M., Martello, S. (2012) Assignment Problems. SIAM.
  • Henry-Labordere, P. (2008). Analysis, Geometry, and Modeling in Finance: Advanced methods in option pricing. Chapman & Hall.
  • Roth, A. and Sotomayor, M. (1990). Two-sided matching. A Study in Game-Theoretic Modeling and Analysis. Cambridge.
  • Border, K. (1989). Fixed Point Theorems with Applications to Economics and Game Theory. Cambridge.
  • Krishna, V. (2010). Auction Theory. Second edition. Elsevier.
  • Hiriart-Urruty, J.-B., and Claude Lemaréchal, C. (2004). Fundamentals of Convex Analysis. Springer.
  • Aubin, J.-P., and Ekeland, I. (2006). Applied nonlinear analysis. Dover.
  • Grady, L., and Polimeni, J. (2010). Discrete Calculus: Applied Analysis on Graphs for Computational Science. Springer.
  • Bertsekas, D. (1998). Network Optimization: Continuous and Discrete Models (Optimization, Computation, and Control). Athena Scientific.
  • Bobzin, H. (2008). Principles of Network Economics. Springer.
  • Rheinboldt, W. (1987). Methods for Solving Systems of Nonlinear Equations. SIAM.
  • Bhatia, R. (2011). Matrix Analysis. Springer.
  • Horn, R. and Johnson, C. (1994). Topics in Matrix Analysis. Cambridge.

November 8th, 2016

categories: links

causal2017S

DS-GA 3001

Introduction to Causal Inference for Data Scientists

NYU, Center for Data Sciences, NYU Spring 2017

Course information

Instructor: Alfred Galichon (NYU FAS Economics and CIMS Mathematics).
Section leader: Yifei Sun (NYU CIMS Mathematics).

Schedule:
Lecture: Thursday 4:55pm – 6:35pm
Lab: Thursday 6:45pm – 7:35pm

Location (lecture and lab): 60 Fifth Avenue, Room 110.

October 8th, 2016

categories: classes

matching2017s

ECON-GA 1802.001 and MATH.GA 2840.02

Matching Models And Their Applications.

NYU, Economics Department and Courant Institute, PhD Course Spring 2017

Course information

Instructor: Alfred Galichon.

Class meets on Mondays 9am-10:50am in WWH 102.

Assessment: A short paper (12 pages or more), to be discussed with the instructor. The paper will bear some connections, in a broad sense, with the topics of the course. Many papers are considered acceptable: original research paper, survey paper, report on numerical experiments, replication of existing empirical results… are all acceptable.

Texts:
The first part of the course will be based on my text:
[OTME] A. Galichon (2016). Optimal Transport Methods in Economics, Princeton University Press.
The second part will be based on lecture notes distributed in class.

Other textbooks used for reference (although not required) are:
[TSM] A. Roth and M. Sotomayor. Two-Sided Matching A study in Game-Theoretic Modeling and Analysis, Monographs of the Econometrics Society, 1990.
[DCMS] K. Train. Discrete Choice Methods with Simulation. 2nd Edition. Cambridge University Press, 2009.
[TOT] C. Villani, Topics in Optimal transportation, AMS, 2003.

Course material

The lecture notes will be available before each lecture.

Description of the Course

This course provides the mathematical and computational tools needed for an operational knowledge of discrete choice models, and matching models. A number of economic applications of these concepts will be discussed.
The first part of the course will introduce basic results around optimal transport theory: the Monge-Kantorovich duality, the optimal assignment problem, basic results in linear programming, and convex analysis. Those concepts will serve as building blocks in the sequel.
The second part will cover discrete choice models, from the classical theory to more recent advances. The classical generalized extreme value (GEV) specification will be recalled, as well as maximum likelihood estimation in the parametric case. Comparative statics results will be derived using tools from convex analysis, and nonparametric identification will be worked out using optimal transport theory. Simulations methods will be covered. A computationally intensive application will be demonstrated.
The third part will be devoted to matching models with stochastic utility, starting with the transferable utility (TU) case which is then generalized to imperfectly transferable utility (ITU) including non-transferable utility (NTU). Equilibrium computation in the general case will be worked out using techniques from general equilibrium. The more specific, but empirically relevant logit case, will be efficiently addressed using more the specific techniques of alternated projections. Various algorithms will be described and compared in practice. Moment matching estimation and maximum likelihood estimation will be worked out and compared. Several applications, to collective models of family economics, and to labor markets with taxes, will be described.

Organization of the Course

Part I: An introduction to Optimal Transport theory

L1. Monge-Kantorovich duality

  • Primal and dual formulations
  • The Monge-Kantorovich theorem
  • Equilibrium and Optimality

Reference: [TOT], Ch. 1; [OTME] ch. 2

L2. The optimal assignment problem

  • Linear programming duality
  • Purity, Stability
  • Computation

Reference: [OTME], ch. 3, [TSM], Ch 8.
Complements: Shapley & Shubik (1972).

L3. The Becker model

  • Copulas and comonotonicity
  • Positive Assortative Matching
  • The Wage Equation

Reference: [OTME], ch. 4. [TOT], Ch. 2.2

L4. Convex conjugacy

  • Basics of convex analysis: Convex conjugates, Subdifferential, Fenchel-Young inequality
  • Brenier’s theorem

Reference: [OTME], ch. 6. [TOT], ch. 2.1.

 

Part II: Discrete Choice models

L5. The logit model and its extensions

  • The Logit model and its parametric estimation
  • The Generalized Extreme Value (GEV) model
  • The Daly-Zachary-Williams theorem

Reference: [DCMS], ch. 2-4, Anderson, de Palma & Thisse, Ch. 3, Carlier (2010).

L6. Identification of discrete choice models

  • Reformulation as an Optimal Transport problem
  • Consequences on the structure of the identifed set
  • The Random Scalar Coefficient Model
  • Incorporating peer effects

Reference: Hotz and Miller (1993), Chiong et al. (2014), Galichon and Salanie (2015).

L7. Simulation methods

  • Simulation methods for parametric estimation
  • Probit and the GHK simulator
  • Simulation methods for nonparametric estimation

Reference: [DCMS], ch. 5 and 9, Chiong et al. (2014).

 

Part III: Matching models

L8. Models with transferable utility

  • The TU-logit model of Choo and Siow
  • Beyond Logit: general heterogeneity
  • Simulation methods
  • Moment matching estimation; Maximum Likelihood Estimation

Reference: Choo and Siow (2006), Galichon and Salanie (2015).

L9. Estimation of complementarity

  • Index models
  • Affinity matrix estimation
  • Application: marital preference estimation

Reference: Chiappori, Oreffice and Quintana-Domeque (2012), Dupuy and Galichon (2014).

L10. Models with imperfectly transferable utility

  • Equilibrium: Existence and Uniqueness
  • The ITU-logit model
  • Computation
  • Maximum Likelihood Estimation

Reference: Galichon, Kominers and Weber (2015).

L11. Models with non-transferable utility

  • Models with no idiosyncratic utility shocks
  • Models with idiosyncratic utility shocks

Reference: Dagsvik (2000), Menzel (2015), Galichon and Hsieh (2015).

L12. Hedonic models

  • Hedonic Equilibrium: definition and existence
  • Estimation

Chiappori, McCann & Nesheim (2010), Ekeland, Heckman & Nesheim (2004), Dupuy, Galichon & Henry (2014).

Bibliography

• Anderson, de Palma, and Thisse (1992). Discrete Choice Theory of Product Differentiation. MIT Press.
• Aurenhammer, F. (1987). “Power diagrams: properties, algorithms and applications,” SIAM Journal on Computing.
• Becker, G. (1973). “A theory of marriage, part I,” Journal of Political Economy.
• Carlier, G. (2010). Lecture notes on “Optimal Transportation and Economic Applications.”.
• Chiong, K, Galichon, A., Shum, M. “Duality in dynamic discrete choice models.” Quantitative Economics, forthcoming.
• Choo, E., and Siow, A. (2006). “Who Marries Whom and Why,” Journal of Political Economy.
• Chiappori, P.-A., McCann, R., and Nesheim, L. (2010). “Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness,” Economic Theory.
• Pierre-André Chiappori, Sonia Oreffice and Climent Quintana-Domeque, C. (2012). “Fatter Attraction: Anthropometric and Socioeconomic Matching on the Marriage Market,” Journal of Political Economy 120, No. 4, pp. 659-695.
• Dagsvik, J. (2000) “Aggregation in matching markets,” International Economic Review 41, 27-57.
• Dupuy, A., and Galichon, A. (2014). “Personality traits and the marriage market,” Journal of Political Economy.
• Dupuy, A., Galichon, A. and Henry, M. (2014). “Entropy Methods for Identifying Hedonic Models,” Mathematics and Financial Economics.
• Ekeland, I., J. Heckman, and L. Nesheim (2004): “Identification and estimation of hedonic models,” Journal of Political Economy.
• Galichon, A. (2016). Optimal Transport Methods in Economics, Princeton University Press.
• Galichon, A., Hsieh, Y.-W. (2015). “Love and Chance: Equilibrium and Identification in a Large NTU matching markets with stochastic choice”.
• Galichon, A., Kominers, S., and Weber, S. (2015). Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility.
• Galichon, A., and Salanié, B. (2014). “Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models”. Working paper.
• Heckman, J., R. Matzkin, and L. Nesheim (2010). “Nonparametric identification and estimation of nonadditive hedonic models,” Econometrica.
• Hotz, V.J. and Miller, R.A. (1993). “Conditional Choice Probabilities and the Estimation of Dynamic Models”. Review of Economic Studies 60, No. 3 , pp. 497-529.
• Koopmans, T. C. (1949), “Optimum utilization of the transportation system”. Econometrica.
• Menzel, K. (2015). Large Matching Markets as Two-Sided Demand Systems. Econometrica 83 (3), pages 897–941.
• Roth, A., and Sotomayor, M. (1990). Two-Sided Matching A study in Game-Theoretic Modeling and Analysis.
• Shapley, L. and Shubik, M. (1972) “The assignment game I: the core”. International Journal of Game Theory.
• Train, K. (2009). Discrete Choice Methods with Simulation. Cambridge University Press.
• Villani, C. (2003). Topics in Optimal transportation. Lecture Notes in Mathematics, AMS.
• Vohra, R. (2011). Mechanism Design. A Linear Programming Approach. Cambridge University Press.

September 7th, 2016

categories: classes

CORElectures-june2016

CORE lectures

Optimal Transport And Economic Applications: Modelling and Estimation

CORE Louvain-la-Neuve, June, 2016 (9h)

Course material

The lecture slides will be available before each lecture.

Description of the Course

These lectures will introduce the theory of optimal transport, and applications to discrete choice analysis and to the estimation of matching markets. The basics of optimal transport are recalled. A compact presentation of additive demand models and matching models with transferable utility is given. The second part of the course deals with the statistical estimation of these models and presents empirical applications.

References

TBA.

Schedule:
Monday June 6, 2016: Monge-Kantorovich theory
04:00 p.m.-5:30 p.m. Monge-Kantorovich duality; the optimal
assignment problem

Tuesday June 7, 2016: Models of choice and matching
11:00 a.m.-12:30 p.m. Optimal transport and convex analysis
02:00 p.m.-03:30 p.m. Models of choice
04:00 p.m.-05:30 p.m. Matching models with transferable utility

Wednesday June 8, 2016: Estimation of matching models and empirical applications
09:00 a.m.-10:30 a.m. Estimation of matching surplus
11:00 a.m.-12:30 p.m. Matching function equilibria: theory and estimation

March 23rd, 2016

categories: lecture-series

Protected: ReadingGroupOT2016S

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January 17th, 2016

categories: events

matching2016S

ECON.GA 3002.09 and MATH.GA 2840.03

Matching Models And Their Applications

NYU, Economics Department and Courant Institute, PhD Course Spring 2016

Course information

Instructor: Alfred Galichon.

Schedule: Mondays, 9am-10:50am, starting January 25, 2016.

Class meets Jan 25, Feb 1, 8, 22, 29, March 7, 21, 28, April 4, 11, 18, 25, May 2, 9.
** OPTIONAL LECTURE ON MAY 16, 9AM-11AM IN WWH 1302. **

Location: Courant Institute (Warren Weaver Hall, 251 Mercer) #201.

Validation: A short paper (12 pages or more), to be discussed with the instructor. The paper will bear some connections, in a broad sense, with the topics of the course. Many papers are considered acceptable: original research paper, survey paper, report on numerical experiments, replication of existing empirical results… are all acceptable.

Texts: The first part of the course will be based on my text:
[OTME] A. Galichon. Optimal Transport Methods in Economics (Princeton University Press, in press), a draft of which is available here.
Other textbooks used for reference (although not required) are:
[TSM] A. Roth and M. Sotomayor. Two-Sided Matching A study in Game-Theoretic Modeling and Analysis, Monographs of the Econometrics Society, 1990.
[DCMS] K. Train. Discrete Choice Methods with Simulation. 2nd Edition. Cambridge University Press, 2009.
[TOT] C. Villani, Topics in Optimal transportation, AMS, 2003.

Course material

The lecture notes will be available before each lecture.

Description of the Course

This course provides the mathematical and computational tools needed for an operational knowledge of discrete choice models, matching models, and network flow models. A number of economic applications of these concepts will be discussed.
The first part of the course will introduce basic results around Optimal Transportation theory: the Monge-Kantorovich duality, the Optimal Assignment Problem, basic results in Linear Programming, and Convex Analysis. Those concepts will serve as building blocks in the sequel.
The second part will cover discrete choice models, from the classical theory to more recent advances. The classical Generalized Extreme Value (GEV) specification will be recalled, as well as Maximum Likelihood estimation in the parametric case. Comparative statics results will be derived using tools from Convex Analysis, and nonparametric identification will be worked out using Optimal Transport theory. Simulations methods will be covered. A computationally intensive application will be demonstrated.
The third part will be devoted to matching models with stochastic utility, starting with the Transferable Utility (TU) case which is then generalized to Imperfectly Transferable Utility (ITU) including Non-transferable Utility (NTU). Equilibrium computation in the general case will be worked out using techniques from General Equilibrium. The more specific, but empirically relevant logit case, will be efficiently addressed using more the specific techniques or Iterative Fitting. Various algorithms will be described and compared in practice. Moment Matching Estimation and Maximum Likelihood Estimation will be worked out and compared. Several applications, to Collective Models of Family Economics, and to Labor Markets with taxes, will be described.
The fourth and last part will provide an introduction to problems on networks. The basic tools to describe the topology on a network will be described: discrete differential operators, diffusions on networks, shortest paths on networks. The Optimal Transport problem on networks will be formulated, along with its extension to stochastic utility.

Organization of the Course

Part I: An introduction to Optimal Transport theory

L1. Monge-Kantorovich duality

  • Primal and dual formulations
  • The Monge-Kantorovich theorem
  • Equilibrium and Optimality

Reference: [TOT], Ch. 1; [OTME] ch. 2

L2. The optimal assignment problem

  • Linear programming duality
  • Purity, Stability
  • Computation

Reference: [OTME], ch. 3, [TSM], Ch 8.
Complements: Shapley & Shubik (1972).

L3. The Becker model

  • Copulas and comonotonicity
  • Positive Assortative Matching
  • The Wage Equation

Reference: [OTME], ch. 4. [TOT], Ch. 2.2

L4. Convex conjugacy

  • Basics of convex analysis: Convex conjugates, Subdifferential, Fenchel-Young inequality
  • Brenier’s theorem

Reference: [OTME], ch. 6. [TOT], ch. 2.1.

 

Part II: Discrete Choice models

L5. The logit model and its extensions

  • The Logit model and its parametric estimation
  • The Generalized Extreme Value (GEV) model
  • The Daly-Zachary-Williams theorem

Reference: [DCMS], ch. 2-4, Anderson, de Palma & Thisse, Ch. 3, Carlier (2010).

L6. Identification of discrete choice models

  • Reformulation as an Optimal Transport problem
  • Consequences on the structure of the identifed set
  • The Random Scalar Coefficient Model
  • Incorporating peer effects

Reference: Hotz and Miller (1993), Chiong et al. (2014), Galichon and Salanie (2015).

L7. Simulation methods

  • Simulation methods for parametric estimation
  • Probit and the GHK simulator
  • Simulation methods for nonparametric estimation

Reference: [DCMS], ch. 5 and 9, Chiong et al. (2014).

 

Part III: Matching models

L8. Models with transferable utility

  • The TU-logit model of Choo and Siow
  • Beyond Logit: general heterogeneity
  • Simulation methods
  • Moment matching estimation; Maximum Likelihood Estimation

Reference: Choo and Siow (2006), Galichon and Salanie (2015).

L9. Estimation of complementarity

  • Index models
  • Affinity matrix estimation
  • Application: marital preference estimation

Reference: Chiappori, Oreffice and Quintana-Domeque (2012), Dupuy and Galichon (2014).

L10. Models with imperfectly transferable utility

  • Equilibrium: Existence and Uniqueness
  • The ITU-logit model
  • Computation
  • Maximum Likelihood Estimation

Reference: Galichon, Kominers and Weber (2015).

L11. Models with non-transferable utility

  • Models with no idiosyncratic utility shocks
  • Models with idiosyncratic utility shocks

Reference: Dagsvik (2000), Menzel (2015), Galichon and Hsieh (2015).

 

Part IV: Network models

L12. Optimal flow problems

  • Basic concepts
  • Min-cost flow problem
  • Incorporating Stochastic Utility

Reference: [OTME], ch. 8. Koopmans (1949).

L13. Equilibrium flow problems

  • Traffic equilibrium with congestion
  • The Equilibrium Flow Problem.

Reference: Carlier (2010).

L14. Hedonic models

  • Hedonic Equilibrium: definition and existence
  • Estimation

Chiappori, McCann & Nesheim (2010), Ekeland, Heckman & Nesheim (2004), Dupuy, Galichon & Henry (2014).

Bibliography

• Anderson, de Palma, and Thisse (1992). Discrete Choice Theory of Product Differentiation. MIT Press.
• Aurenhammer, F. (1987). “Power diagrams: properties, algorithms and applications,” SIAM Journal on Computing.
• Becker, G. (1973). “A theory of marriage, part I,” Journal of Political Economy.
• Carlier, G. (2010). Lecture notes on “Optimal Transportation and Economic Applications.”.
• Chiong, K, Galichon, A., Shum, M. “Duality in dynamic discrete choice models.” Quantitative Economics, forthcoming.
• Choo, E., and Siow, A. (2006). “Who Marries Whom and Why,” Journal of Political Economy.
• Chiappori, P.-A., McCann, R., and Nesheim, L. (2010). “Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness,” Economic Theory.
• Pierre-André Chiappori, Sonia Oreffice and Climent Quintana-Domeque, C. (2012). “Fatter Attraction: Anthropometric and Socioeconomic Matching on the Marriage Market,” Journal of Political Economy 120, No. 4, pp. 659-695.
• Dagsvik, J. (2000) “Aggregation in matching markets,” International Economic Review 41, 27-57.
• Dupuy, A., and Galichon, A. (2014). “Personality traits and the marriage market,” Journal of Political Economy.
• Dupuy, A., Galichon, A. and Henry, M. (2014). “Entropy Methods for Identifying Hedonic Models,” Mathematics and Financial Economics.
• Ekeland, I., J. Heckman, and L. Nesheim (2004): “Identification and estimation of hedonic models,” Journal of Political Economy.
• Galichon, A. (2016). Optimal Transport Methods in Economics. Princeton University Press, in press.
• Galichon, A., Hsieh, Y.-W. (2015). “Love and Chance: Equilibrium and Identification in a Large NTU matching markets with stochastic choice”.
• Galichon, A., Kominers, S., and Weber, S. (2015). Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility.
• Galichon, A., and Salanié, B. (2014). “Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models”. Working paper.
• Heckman, J., R. Matzkin, and L. Nesheim (2010). “Nonparametric identification and estimation of nonadditive hedonic models,” Econometrica.
• Hotz, V.J. and Miller, R.A. (1993). “Conditional Choice Probabilities and the Estimation of Dynamic Models”. Review of Economic Studies 60, No. 3 , pp. 497-529.
• Koopmans, T. C. (1949), “Optimum utilization of the transportation system”. Econometrica.
• Menzel, K. (2015). Large Matching Markets as Two-Sided Demand Systems. Econometrica 83 (3), pages 897–941.
• Roth, A., and Sotomayor, M. (1990). Two-Sided Matching A study in Game-Theoretic Modeling and Analysis.
• Shapley, L. and Shubik, M. (1972) “The assignment game I: the core”. International Journal of Game Theory.
• Train, K. (2009). Discrete Choice Methods with Simulation. Cambridge University Press.
• Villani, C. (2003). Topics in Optimal transportation. Lecture Notes in Mathematics, AMS.
• Vohra, R. (2011). Mechanism Design. A Linear Programming Approach. Cambridge University Press.

November 10th, 2015

categories: classes

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