Cupid's Invisible Hand: Social Surplus and Identification in Matching Models
We investigate a model of one-to-one matching with transferable utility when some of the characteristics of the players are unobservable to the analyst. We allow for a wide class of distributions of unobserved heterogeneity, subject only to a separability assumption that generalizes Choo and Siow (2006). We first show that the stable matching maximizes a social gain function that trades off the average surplus due to the observable characteristics and a generalized entropy term that reflects the impact of matching on unobserved characteristics. We use this result to derive simple closed-form formulæ that identify the joint surplus in every possible match and the equilibrium utilities of all participants, given any known distribution of unobserved heterogeneity. If transfers are observed, then the pre-transfer utilities of both partners are also identified. We also present a very fast algorithm that computes the optimal matching for any specification of the joint surplus. We conclude by discussing some empirical approaches suggested by these results.
|Date of creation:||Sep 2012|
|Date of revision:|
|Contact details of provider:|| Web page: http://www.sciencespo.fr/|
More information through EDIRC
References listed on IDEAS
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.:
- Alfred Galichon & Bernard Salanié, 2010.
"Matching with Trade-offs: Revealed Preferences over Competiting Characteristics,"
- Galichon, Alfred & Salanié, Bernard, 2010. "Matching with Trade-offs: Revealed Preferences over Competing Characteristics," CEPR Discussion Papers 7858, C.E.P.R. Discussion Papers.
- Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-Offs: Revealed Preferences over Competing Characteristics," Sciences Po publications info:hdl:2441/1293p84sf58, Sciences Po.
- Shimer, R. & Smith, L., 1997.
"Assortative Matching and Search,"
97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
- Maristella Botticini & Aloysius Siow, 2008.
"Are there Increasing Returns in Marriage Markets?,"
tecipa-333, University of Toronto, Department of Economics.
- Maristella Botticini & Aloysius Siow, 2006. "Are There Increasing Returns in Marriage Markets?," Boston University - Department of Economics - Working Papers Series WP2006-050, Boston University - Department of Economics.
- Gunter J. Hitsch & Ali Hortaçsu & Dan Ariely, 2010. "Matching and Sorting in Online Dating," American Economic Review, American Economic Association, vol. 100(1), pages 130-63, March.
- John William Hatfield & Scott Duke Kominers, 2012. "Matching in Networks with Bilateral Contracts," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 176-208, February.
- Xavier Gabaix & Augustin Landier, 2006.
"Why Has CEO Pay Increased So Much?,"
2006 Meeting Papers
518, Society for Economic Dynamics.
- Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
- Marko Tervio, 2008. "The Difference That CEOs Make: An Assignment Model Approach," American Economic Review, American Economic Association, vol. 98(3), pages 642-68, June.
- Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
- John William Hatfield & Scott Duke Kominers & Alexandru Nichifor & Michael Ostrovsky & Alexander Westkamp, 2013. "Stability and Competitive Equilibrium in Trading Networks," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 966 - 1005.
When requesting a correction, please mention this item's handle: RePEc:spo:wpmain:info:hdl:2441/5rkqqmvrn4tl22s9mc0c7apsi. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Spire @ Sciences Po Library)
If references are entirely missing, you can add them using this form.