IDEAS home Printed from https://ideas.repec.org/p/tse/wpaper/127031.html
   My bibliography  Save this paper

Two-Sided Matching Without Transfers: A Unifying Empirical Framework

Author

Listed:
  • Ederer, Tim

Abstract

This paper provides a unifying framework of one-to-one and many-to-one matching without transfers and investigates how data on realized matches can be leveraged to identify preferences of participating agents. I find that, under parsimonious assumptions on preferences, one can only identify the joint surplus function both in the one-to-one and many-to-one case. While this negative identification result was already established for the one-to-one case, I reconcile this finding with the recent literature showing that preferences are separately identified when having data on many-to-one matchings. I find that these positive identification results are mostly driven by restrictions imposed on preferences rather than the additional identification power made available through the many-to-one structure of the data. I then show that by imposing similar restrictions on preferences, one can recover identification of preferences both in the one-to-one and many-to-one case. Finally, I show that the additional data brought by many-to-one matchings can alternatively be used to estimate more precisely the distribution of un-observed preference heterogeneity.

Suggested Citation

  • Ederer, Tim, 2022. "Two-Sided Matching Without Transfers: A Unifying Empirical Framework," TSE Working Papers 22-1340, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:127031
    as

    Download full text from publisher

    File URL: https://www.tse-fr.eu/sites/default/files/TSE/documents/doc/wp/2022/wp_tse_1340.pdf
    File Function: Full Text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jeremy T. Fox, 2010. "Identification in matching games," Quantitative Economics, Econometric Society, vol. 1(2), pages 203-254, November.
    2. Steven Berry & James Levinsohn & Ariel Pakes, 2004. "Differentiated Products Demand Systems from a Combination of Micro and Macro Data: The New Car Market," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 68-105, February.
    3. Atila Abdulkadiroğlu & Nikhil Agarwal & Parag A. Pathak, 2017. "The Welfare Effects of Coordinated Assignment: Evidence from the New York City High School Match," American Economic Review, American Economic Association, vol. 107(12), pages 3635-3689, December.
    4. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    5. YingHua He & Shruti Sinha & Xiaoting Sun, 2021. "Identification and Estimation in Many-to-one Two-sided Matching without Transfers," Papers 2104.02009, arXiv.org, revised Jul 2023.
    6. Nikhil Agarwal, 2015. "An Empirical Model of the Medical Match," American Economic Review, American Economic Association, vol. 105(7), pages 1939-1978, July.
    7. 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.
    8. Eduardo M. Azevedo & Jacob D. Leshno, 2016. "A Supply and Demand Framework for Two-Sided Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1235-1268.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nikhil Agarwal & Eric Budish, 2021. "Market Design," NBER Working Papers 29367, National Bureau of Economic Research, Inc.
    2. Gabrielle Fack & Julien Grenet & Yinghua He, 2019. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice and College Admissions," American Economic Review, American Economic Association, vol. 109(4), pages 1486-1529, April.
    3. Nikhil Agarwal & Paulo Somaini, 2018. "Demand Analysis Using Strategic Reports: An Application to a School Choice Mechanism," Econometrica, Econometric Society, vol. 86(2), pages 391-444, March.
    4. Alfred Galichon & Simon Weber, 2024. "Matching under Imperfectly Transferable Utility," Papers 2403.05222, arXiv.org, revised Oct 2024.
    5. Schwartz, Jacob & Song, Kyungchul, 2024. "The law of large numbers for large stable matchings," Journal of Econometrics, Elsevier, vol. 241(1).
    6. YingHua He & Shruti Sinha & Xiaoting Sun, 2021. "Identification and Estimation in Many-to-one Two-sided Matching without Transfers," Papers 2104.02009, arXiv.org, revised Jul 2023.
    7. YingHua He & Thierry Magnac, 2022. "Application Costs and Congestion in Matching Markets," The Economic Journal, Royal Economic Society, vol. 132(648), pages 2918-2950.
    8. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.
    9. He, Yinghua & Magnac, Thierry, 2018. "A Pigouvian Approach to Congestion in Matching Markets," IZA Discussion Papers 11967, Institute of Labor Economics (IZA).
    10. Georgy Artemov & Yeon-Koo Che & YingHua He, 2023. "Stable Matching with Mistaken Agents," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 1(2), pages 270-320.
    11. Thilo Klein & Robert Aue & Josue Ortega, 2020. "School choice with independent versus consolidated districts," Papers 2006.13209, arXiv.org, revised Jul 2024.
    12. Aue, Robert & Klein, Thilo & Ortega, Josué, 2020. "What happens when separate and unequal school districts merge?," ZEW Discussion Papers 20-032, ZEW - Leibniz Centre for European Economic Research.
    13. Alfred Galichon & Bernard Salani'e, 2021. "Cupid's Invisible Hand: Social Surplus and Identification in Matching Models," Papers 2106.02371, arXiv.org, revised Jan 2023.
    14. repec:hal:spmain:info:hdl:2441/5kmb4ke32h9ur9159sab6hvkck is not listed on IDEAS
    15. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.
    16. Francisco Gallego & Andrés Hernando, 2009. "School Choice in Chile: Looking at the Demand Side," Documentos de Trabajo 356, Instituto de Economia. Pontificia Universidad Católica de Chile..
    17. Arnaud Dupuy & Alfred Galichon, 2014. "Personality Traits and the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1271-1319.
    18. Gian Maria Tomat, 2005. "Prices, Product Differentiation And Quality Measurement: A Comparison Between Hedonic And Matched Model Methods," Temi di discussione (Economic working papers) 547, Bank of Italy, Economic Research and International Relations Area.
    19. Alfred Galichon & Bernard Salanié, 2022. "Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(5), pages 2600-2629.
    20. Peter Arcidiacono & Andrew Beauchamp & Marjorie McElroy, 2016. "Terms of endearment: An equilibrium model of sex and matching," Quantitative Economics, Econometric Society, vol. 7(1), pages 117-156, March.
    21. Shuyang Sheng & Xiaoting Sun, 2023. "Social Interactions with Endogenous Group Formation," Papers 2306.01544, arXiv.org.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tse:wpaper:127031. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/tsetofr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.