Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness
AbstractHedonic pricing with quasilinear preferences is shown to be equivalent to stable matching with transferable utilities and a participation constraint, and to an optimal transportation (Monge-Kantorovich) linear programming problem. Optimal assignments in the latter correspond to stable matchings, and to hedonic equilibria. These assignments are shown to exist in great generality; their marginal indirect payoffs with respect to agent type are shown to be unique whenever direct payoffs vary smoothly with type. Under a generalized Spence-Mirrlees condition the assignments are shown to be unique and to be pure, meaning the matching is one-to-one outside a negligible set. For smooth problems set on compact, connected type spaces such as the circle, there is a topological obstruction to purity, but we give a weaker condition still guaranteeing uniqueness of the stable match. An appendix resolves an old problem (# 111) of Birkhoff in probability and statistics , by giving a necessary and sufficient condition on the support of a joint probability to guarantee extremality among all joint measures with the same marginals.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 42 (2010)
Issue (Month): 2 (February)
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00199/index.htm
Other versions of this item:
- Pierre-Andre Chiappori & Robert McCann & Lars Nesheim, 2007. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness," CeMMAP working papers CWP23/07, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Gretsky, Neil E & Ostroy, Joseph M & Zame, William R, 1992.
"The Nonatomic Assignment Model,"
Springer, vol. 2(1), pages 103-27, January.
- Roth, Alvin E. & Sotomayor, Marilda, 1992.
Handbook of Game Theory with Economic Applications,
in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541
- Carlier, Guillaume, 2003. "Duality and existence for a class of mass transportation problems and economic applications," Economics Papers from University Paris Dauphine 123456789/6443, Paris Dauphine University.
- Gretsky, Neil E. & Ostroy, Joseph M. & Zame, William R., 1999. "Perfect Competition in the Continuous Assignment Model," Journal of Economic Theory, Elsevier, vol. 88(1), pages 60-118, September.
- James Heckman & Rosa Matzkin & Lars Nesheim, 2005. "Nonparametric estimation of nonadditive hedonic models," CeMMAP working papers CWP03/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- James J. Heckman & Rosa L. Matzkin & Lars Nesheim, 2009.
"Nonparametric Identification and Estimation of Nonadditive Hedonic Models,"
NBER Working Papers
15226, National Bureau of Economic Research, Inc.
- James J. Heckman & Rosa L. Matzkin & Lars Nesheim, 2010. "Nonparametric Identification and Estimation of Nonadditive Hedonic Models," Econometrica, Econometric Society, vol. 78(5), pages 1569-1591, 09.
- Heckman, James J. & Matzkin, Rosa & Nesheim, Lars, 2009. "Nonparametric Identification and Estimation of Nonadditive Hedonic Models," IZA Discussion Papers 4329, Institute for the Study of Labor (IZA).
- Seungjin Han & Shintaro Yamaguchi, 2013.
"Compensating Wage Differentials in Stable Job Matching Equilibrium,"
Global COE Hi-Stat Discussion Paper Series
gd12-285, Institute of Economic Research, Hitotsubashi University.
- Han, Seungjin & Yamaguchi, Shintaro, 2012. "Compensating Wage Differentials in Stable Job Matching Equilibrium," Microeconomics.ca working papers seungjin_han-2012-4, Vancouver School of Economics, revised 27 Feb 2013.
- Seungjin Han & Shintaro Yamaguchi, 2012. "Compensating Wage Differentials in Stable Job Matching Equilibrium," Department of Economics Working Papers 2012-01, McMaster University, revised Feb 2013.
- Pierre-André Chiappori & Sonia Oreffice & Climent Quintana-Domeque, 2011.
"Matching with a Handicap: The Case of Smoking in the Marriage Market,"
2011-017, Human Capital and Economic Opportunity Working Group.
- Pierre-Andre Chiappori & Sonia Oreffice & Climent Quintana-Domeque, 2011. "Matching with a Handicap: The Case of Smoking in the Marriage Market," Discussion Papers 1011-07, Columbia University, Department of Economics.
- Chiappori, Pierre-André & Oreffice, Sonia & Quintana-Domeque, Climent, 2010. "Matching with a Handicap: The Case of Smoking in the Marriage Market," IZA Discussion Papers 5392, Institute for the Study of Labor (IZA).
- Pierre-André Chiappori & Sonia Oreffice & Climent Quintana-Domeque, 2012. "Matching with a Handicap: The Case of Smoking in the Marriage Market," CHILD Working Papers Series 8, Centre for Household, Income, Labour and Demographic Economics (CHILD) - CCA.
- Blanchet, Adrien & Carlier, Guillaume, 2012.
"Optimal Transport and Cournot-Nash Equilibria,"
TSE Working Papers
12-321, Toulouse School of Economics (TSE).
- Rachel Griffith & Lars Nesheim, 2010. "Estimating households' willingness to pay," CeMMAP working papers CWP24/10, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- André De Palma & Soumyanetra Munshi, 2012. "Multi-player, Multi-prize, Imperfectly Discriminating Contests," Working Papers hal-00683688, HAL.
- G. Carlier & I. Ekeland, 2010. "Matching for teams," Economic Theory, Springer, vol. 42(2), pages 397-418, February.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.