IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2402.13378.html
   My bibliography  Save this paper

Stable matching as transportation

Author

Listed:
  • Federico Echenique
  • Joseph Root
  • Fedor Sandomirskiy

Abstract

We study matching markets with aligned preferences and establish a connection between common design objectives -- stability, efficiency, and fairness -- and the theory of optimal transport. Optimal transport gives new insights into the structural properties of matchings obtained from pursuing these objectives, and into the trade-offs between different objectives. Matching markets with aligned preferences provide a tractable stylized model capturing supply-demand imbalances in a range of settings such as partnership formation, school choice, organ donor exchange, and markets with transferable utility where bargaining over transfers happens after a match is formed.

Suggested Citation

  • Federico Echenique & Joseph Root & Fedor Sandomirskiy, 2024. "Stable matching as transportation," Papers 2402.13378, arXiv.org.
    • Handle: RePEc:arx:papers:2402.13378
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2402.13378
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Michael Dinerstein & Troy D. Smith, 2021. "Quantifying the Supply Response of Private Schools to Public Policies," American Economic Review, American Economic Association, vol. 111(10), pages 3376-3417, October.
    2. Tayfun Sönmez & Alvin E. Roth & M. Utku Ünver, 2007. "Efficient Kidney Exchange: Coincidence of Wants in Markets with Compatibility-Based Preferences," American Economic Review, American Economic Association, vol. 97(3), pages 828-851, June.
    3. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    4. Thomas Chaney, 2014. "The Network Structure of International Trade," American Economic Review, American Economic Association, vol. 104(11), pages 3600-3634, November.
    5. Voorneveld, Mark & Norde, Henk, 1997. "A Characterization of Ordinal Potential Games," Games and Economic Behavior, Elsevier, vol. 19(2), pages 235-242, May.
    6. Echenique, Federico & Yenmez, M. Bumin, 2007. "A solution to matching with preferences over colleagues," Games and Economic Behavior, Elsevier, vol. 59(1), pages 46-71, April.
    7. Mark Armstrong, 2006. "Competition in two‐sided markets," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 668-691, September.
    8. Alkan, Ahmet, 1988. "Nonexistence of stable threesome matchings," Mathematical Social Sciences, Elsevier, vol. 16(2), pages 207-209, October.
    9. Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-30, December.
    10. Pol Antràs & Teresa C. Fort & Felix Tintelnot, 2017. "The Margins of Global Sourcing: Theory and Evidence from US Firms," American Economic Review, American Economic Association, vol. 107(9), pages 2514-2564, September.
    11. Robert J. McCann & Kelvin Shuangjian Zhang, 2023. "A duality and free boundary approach to adverse selection," Papers 2301.07660, arXiv.org, revised Nov 2023.
    12. Jean-Charles Rochet & Jean Tirole, 2003. "Platform Competition in Two-Sided Markets," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 990-1029, June.
    13. Estelle Cantillon & Li Chen & Juan S. Pereyra, 2022. "Respecting priorities versus respecting preferences in school choice: When is there a trade-off?," Papers 2212.02881, arXiv.org, revised Sep 2024.
    14. Estelle Cantillon & Li Chen & Juan Sebastian Pereyra Barreiro, 2022. "Respecting priorities versus respecting preferences in school choice: When is there a trade-off ?," Working Papers ECARES 2022-39, ULB -- Universite Libre de Bruxelles.
    15. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
    16. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," Working Papers 2009-3, Princeton University. Economics Department..
    17. Piyush Panigrahi, 2021. "Endogenous Spatial Production Networks: Quantitative Implications for Trade & Productivity," Cowles Foundation Discussion Papers 2314, Cowles Foundation for Research in Economics, Yale University.
    18. Alfred Galichon & Octavia Ghelfi & Marc Henry, 2021. "Stable and extremely unequal," Papers 2108.06587, arXiv.org, revised Mar 2023.
    19. Border Kim C. & Segal Uzi, 1994. "Dynamic Consistency Implies Approximately Expected Utility Preferences," Journal of Economic Theory, Elsevier, vol. 63(2), pages 170-188, August.
    20. Michael Greinecker & Christopher Kah, 2021. "Pairwise Stable Matching in Large Economies," Econometrica, Econometric Society, vol. 89(6), pages 2929-2974, November.
    21. Mariana Laverde, 2022. "Distance to Schools and Equal Access in School Choice Systems," Working Papers 2022-002, Human Capital and Economic Opportunity Working Group.
    22. Gregory Z. Gutin & Philip R. Neary & Anders Yeo, 2021. "Unique Stable Matchings," Papers 2106.12977, arXiv.org, revised Jul 2023.
    23. Piyush Panigrahi, 2021. "Endogenous Spatial Production Networks: Quantitative Implications for Trade and Productivity," CESifo Working Paper Series 9466, CESifo.
    24. Joshua Angrist & Guthrie Gray-Lobe & Clemence M. Idoux & Parag A. Pathak, 2022. "Still Worth the Trip? School Busing Effects in Boston and New York," NBER Working Papers 30308, National Bureau of Economic Research, Inc.
    25. SangMok Lee & Leeat Yariv, 2018. "On the Efficiency of Stable Matchings in Large Markets," Working Papers 2018-4, Princeton University. Economics Department..
    26. Francesco Agostinelli & Margaux Luflade & Paolo Martellini, 2021. "On the Spatial Determinants of Educational Access," Working Papers 2021-042, Human Capital and Economic Opportunity Working Group.
    27. 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.
    28. Nikhil Agarwal, 2015. "An Empirical Model of the Medical Match," American Economic Review, American Economic Association, vol. 105(7), pages 1939-1978, July.
    29. Galichon, Alfred & Ghelfi, Octavia & Henry, Marc, 2023. "Stable and extremely unequal," Economics Letters, Elsevier, vol. 226(C).
    30. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    31. Gutin, Gregory Z. & Neary, Philip R. & Yeo, Anders, 2023. "Unique stable matchings," Games and Economic Behavior, Elsevier, vol. 141(C), pages 529-547.
    32. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    33. Nick Arnosti, 2022. "A Continuum Model of Stable Matching With Finite Capacities," Papers 2205.12881, arXiv.org.
    34. Mariana Laverde, 2022. "Distance to Schools and Equal Access in School Choice Systems," Boston College Working Papers in Economics 1046, Boston College Department of Economics.
    35. repec:hal:spmain:info:hdl:2441/7an8r1ubqs93caeqs80puld0tp 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. Estelle Cantillon & Li Chen & Juan Sebastian Pereyra Barreiro, 2022. "Respecting priorities versus respecting preferences in school choice: When is there a trade-off ?," Working Papers ECARES 2022-39, ULB -- Universite Libre de Bruxelles.
    2. Galichon, Alfred & Ghelfi, Octavia & Henry, Marc, 2023. "Stable and extremely unequal," Economics Letters, Elsevier, vol. 226(C).
    3. Jonathan EATON & Samuel KORTUM & Francis KRAMARZ, 2016. "Firm-to-Firm Trade: Imports, exports, and the labor market," Discussion papers 16048, Research Institute of Economy, Trade and Industry (RIETI).
    4. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    5. Estelle Cantillon & Li Chen & Juan S. Pereyra, 2022. "Respecting priorities versus respecting preferences in school choice: When is there a trade-off?," Papers 2212.02881, arXiv.org, revised Sep 2024.
    6. Dhyne, Emmanuel & Kikkawa, Ayumu Ken & Kong, Xianglong & Mogstad, Magne & Tintelnot, Felix, 2023. "Endogenous production networks with fixed costs," Journal of International Economics, Elsevier, vol. 145(C).
    7. Jaeok Park, 2017. "Competitive equilibrium and singleton cores in generalized matching problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 487-509, May.
    8. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    9. Alvin E. Roth, 2010. "Marketplace Institutions Related to the Timing of Transactions," NBER Working Papers 16556, National Bureau of Economic Research, Inc.
    10. Alvin E. Roth, 2012. "Marketplace Institutions Related to the Timing of Transactions: Reply to Priest," Journal of Labor Economics, University of Chicago Press, vol. 30(2), pages 479-494.
    11. Marcelo Ariel Fernandez & Kirill Rudov & Leeat Yariv, 2022. "Centralized Matching with Incomplete Information," American Economic Review: Insights, American Economic Association, vol. 4(1), pages 18-33, March.
    12. John Kennes & Daniel Monte & Norovsambuu Tumennasan, 2015. "Dynamic Matching Markets and the Deferred Acceptance Mechanism," Economics Working Papers 2015-23, Department of Economics and Business Economics, Aarhus University.
    13. Karpov, Alexander, 2019. "A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem," Economics Letters, Elsevier, vol. 178(C), pages 63-65.
    14. Philip J. Reny, 2021. "A simple sufficient condition for a unique and student-efficient stable matching in the college admissions problem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 7-9, April.
    15. Tayfun Sönmez & M. Utku Ünver & M. Bumin Yenmez, 2020. "Incentivized Kidney Exchange," American Economic Review, American Economic Association, vol. 110(7), pages 2198-2224, July.
    16. Kominers, Scott Duke, 2010. "Matching with preferences over colleagues solves classical matching," Games and Economic Behavior, Elsevier, vol. 68(2), pages 773-780, March.
    17. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    18. Scott Duke Kominers & Parag A. Pathak & Tayfun Sönmez & M. Utku Ünver, 2020. "Paying It Backward and Forward: Expanding Access to Convalescent Plasma Therapy Through Market Design," NBER Working Papers 27143, National Bureau of Economic Research, Inc.
    19. Nikhil Agarwal & William Diamond, 2013. "Identification and Estimation in Two-Sided Matching Markets," Cowles Foundation Discussion Papers 1905, Cowles Foundation for Research in Economics, Yale University, revised Feb 2014.
    20. Alfred Galichon & Simon Weber, 2024. "Matching under Imperfectly Transferable Utility," Papers 2403.05222, arXiv.org, revised Oct 2024.

    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:2402.13378. 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.