IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2409.05518.html
   My bibliography  Save this paper

Note on solving one-to-one matching models with linear transferable utility

Author

Listed:
  • Esben Scrivers Andersen

Abstract

We derive a system of fixed-point equations for the equilibrium transfers in a class of one-to-one matching models with linear transferable utility. We then show that, when the degree of substitution between alternatives is bounded from above, the derived system of equations constitutes a contraction mapping. As a result, fixed-point iterations are guaranteed to converge to the unique distribution of equilibrium transfers.

Suggested Citation

  • Esben Scrivers Andersen, 2024. "Note on solving one-to-one matching models with linear transferable utility," Papers 2409.05518, arXiv.org.
  • Handle: RePEc:arx:papers:2409.05518
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2409.05518
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    5. Arnaud Dupuy & Alfred Galichon & Sonia Jaffe & Scott Duke Kominers, 2020. "Taxation In Matching Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1591-1634, November.
    6. Marko Tervio, 2008. "The Difference That CEOs Make: An Assignment Model Approach," American Economic Review, American Economic Association, vol. 98(3), pages 642-668, June.
    7. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    8. Jeremy T. Fox, 2018. "Estimating matching games with transfers," Quantitative Economics, Econometric Society, vol. 9(1), pages 1-38, March.
    9. Pierre-André Chiappori & Bernard Salanié & Yoram Weiss, 2017. "Partner Choice, Investment in Children, and the Marital College Premium," American Economic Review, American Economic Association, vol. 107(8), pages 2109-2167, August.
    10. Laura Grigolon & Frank Verboven, 2014. "Nested Logit or Random Coefficients Logit? A Comparison of Alternative Discrete Choice Models of Product Differentiation," The Review of Economics and Statistics, MIT Press, vol. 96(5), pages 916-935, December.
    11. Christopher R. Knittel & Konstantinos Metaxoglou, 2014. "Estimation of Random-Coefficient Demand Models: Two Empiricists' Perspective," The Review of Economics and Statistics, MIT Press, vol. 96(1), pages 34-59, March.
    12. repec:hal:spmain:info:hdl:2441/361levbcs399s9oa154em6h9jl is not listed on IDEAS
    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. Dupuy, Arnaud & Kennes, John & Lyng, Ran Sun, 2021. "The Market for CEOs: Building Legacy and Feeling Empowered Matter," IZA Discussion Papers 14803, Institute of Labor Economics (IZA).
    2. 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.
    3. Liang Chen & Eugene Choo & Alfred Galichon & Simon Weber, 2023. "Existence of a Competitive Equilibrium with Substitutes, with Applications to Matching and Discrete Choice Models," Papers 2309.11416, arXiv.org.
    4. Baiyu Dong & Yu-Wei Hsieh & Xing Zhang, 2022. "Implementing Maximum Likelihood Estimation of Empirical Matching Models," Computational Economics, Springer;Society for Computational Economics, vol. 59(1), pages 1-32, January.
    5. Gualdani, Cristina & Sinha, Shruti, 2019. "Partial identification in matching models for the marriage market," TSE Working Papers 19-993, Toulouse School of Economics (TSE), revised Aug 2022.
    6. Pierre-André Chiappori & Monica Costa Dias & Costas Meghir, 2020. "Changes in Assortative Matching: Theory and Evidence for the US," Working Papers 2020-033, Human Capital and Economic Opportunity Working Group.
    7. Arnaud Dupuy & John Kennes & Ran Sun Lyng, 2023. "Job Amenities in the Market for CEOs," Economics Working Papers 2023-08, Department of Economics and Business Economics, Aarhus University.
    8. Ashish Arora & Michelle Gittelman & Sarah Kaplan & John Lynch & Will Mitchell & Nicolaj Siggelkow & Denisa Mindruta & Mahka Moeen & Rajshree Agarwal, 2016. "A two-sided matching approach for partner selection and assessing complementarities in partners' attributes in inter-firm alliances," Strategic Management Journal, Wiley Blackwell, vol. 37(1), pages 206-231, January.
    9. Sinha, Shruti, 2018. "Identification in One-to-One Matching Models with Nonparametric Unobservables," TSE Working Papers 18-897, Toulouse School of Economics (TSE).
    10. Doorley, Karina & Dupuy, Arnaud & Weber, Simon, 2019. "The empirical content of marital surplus in matching models," Economics Letters, Elsevier, vol. 176(C), pages 51-54.
    11. Guoli Chen & Sterling Huang & Philipp Meyer‐Doyle & Denisa Mindruta, 2021. "Generalist versus specialist CEOs and acquisitions: Two‐sided matching and the impact of CEO characteristics on firm outcomes," Strategic Management Journal, Wiley Blackwell, vol. 42(6), pages 1184-1214, June.
    12. Anton A. Cheremukhin & Paulina Restrepo-Echavarria & Antonella Tutino, 2023. "Marriage Market Sorting in the U.S," Working Papers 2023-023, Federal Reserve Bank of St. Louis, revised 25 Sep 2024.
    13. Edoardo Ciscato, 2019. "Matching models with and without frictions : applications to the economics of the family [Modèles d'appariement avec et sans frictions : applications à l'économie de la famille]," SciencePo Working papers tel-03411916, HAL.
    14. 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.
    15. Marion Goussé & Nicolas Jacquemet & Jean-Marc Robin, 2016. "Marriage, Labor Supply, and Home Production: A Longitudinal Microeconomic Analysis of Marriage, Intra-Household Bargaining and Time Use Using the BHPS, 1991-2008," Cahiers de recherche 1601, CIRPEE.
    16. Arnaud Dupuy & Simon Weber, 2022. "Marriage Market Counterfactuals Using Matching Models," Economica, London School of Economics and Political Science, vol. 89(353), pages 29-43, January.
    17. Marion Goussé & Nicolas Jacquemet & Jean‐Marc Robin, 2017. "Marriage, Labor Supply, and Home Production," Econometrica, Econometric Society, vol. 85(6), pages 1873-1919, November.
    18. Dan Anderberg & Jesper Bagger & V. Bhaskar & Tanya Wilson, 2019. "Marriage market equilibrium, qualifications, and ability," CESifo Working Paper Series 7570, CESifo.
    19. Laura Grigolon, 2021. "Blurred boundaries: A flexible approach for segmentation applied to the car market," Quantitative Economics, Econometric Society, vol. 12(4), pages 1273-1305, November.
    20. repec:spo:wpmain:info:hdl:2441/34a8d5vcod96oo2cch2e7gs4v6 is not listed on IDEAS
    21. Bisin, Alberto & Tura, Giulia, 2019. "Marriage, Fertility, and Cultural Integration in Italy," CEPR Discussion Papers 14179, C.E.P.R. Discussion Papers.

    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:arx:papers:2409.05518. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.