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Social integration in two-sided matching markets

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  • Ortega, Josué

Abstract

When several two-sided matching markets merge into one, it is inevitable that some agents will become worse off if the matching mechanism used is stable. I formalize this observation by defining the property of integration monotonicity, which requires that every agent becomes better off after any number of matching markets merge. Integration monotonicity is also incompatible with the weaker efficiency property of Pareto optimality.

Suggested Citation

  • Ortega, Josué, 2018. "Social integration in two-sided matching markets," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 119-126.
    • Handle: RePEc:eee:mateco:v:78:y:2018:i:c:p:119-126
    DOI: 10.1016/j.jmateco.2018.08.003
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    1. Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-30, December.
    2. Manjunath, Vikram & Turhan, Bertan, 2016. "Two school systems, one district: What to do when a unified admissions process is impossible," Games and Economic Behavior, Elsevier, vol. 95(C), pages 25-40.
    3. Christopher P. Chambers & M. Bumin Yenmez, 2017. "Choice and Matching," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 126-147, August.
    4. , & , E., 2014. "Free riding and participation in large scale, multi-hospital kidney exchange," Theoretical Economics, Econometric Society, vol. 9(3), September.
    5. Muriel Niederle & Alvin E. Roth, 2003. "Unraveling Reduces Mobility in a Labor Market: Gastroenterology with and without a Centralized Match," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1342-1352, December.
    6. Yeon-Koo Che & Olivier Tercieux, 2019. "Efficiency and Stability in Large Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 2301-2342.
    7. Raymond Fisman & Sheena S. Iyengar & Emir Kamenica & Itamar Simonson, 2008. "Racial Preferences in Dating," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 117-132.
    8. Battal Dogan & Bumin Yenmez, 2017. "Unified Enrollment in School Choice: How to Improve Student Assignment in Chicago," Cahiers de Recherches Economiques du Département d'économie 17.10, Université de Lausanne, Faculté des HEC, Département d’économie.
    9. SangMok Lee, 2017. "Incentive Compatibility of Large Centralized Matching Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 444-463.
    10. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    11. , Emin & , Bumin & , Ali, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
    12. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    13. Josue Ortega & Philipp Hergovich, 2017. "The Strength of Absent Ties: Social Integration via Online Dating," Papers 1709.10478, arXiv.org, revised Sep 2018.
    14. Itai Ashlagi & Yash Kanoria & Jacob D. Leshno, 2017. "Unbalanced Random Matching Markets: The Stark Effect of Competition," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 69-98.
    15. Kenneth J. Arrow, 1998. "What Has Economics to Say about Racial Discrimination?," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 91-100, Spring.
    16. Roland G. Fryer Jr., 2007. "Guess Who's Been Coming to Dinner? Trends in Interracial Marriage over the 20th Century," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 71-90, Spring.
    17. James W. Boudreau & Vicki Knoblauch, 2010. "Marriage Matching and Intercorrelation of Preferences," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(3), pages 587-602, June.
    18. Abhijit Banerjee & Esther Duflo & Maitreesh Ghatak & Jeanne Lafortune, 2013. "Marry for What? Caste and Mate Selection in Modern India," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 33-72, May.
    19. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    20. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
    21. Holzman, Ron & Samet, Dov, 2014. "Matching of like rank and the size of the core in the marriage problem," Games and Economic Behavior, Elsevier, vol. 88(C), pages 277-285.
    22. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    23. Gunter J. Hitsch & Ali Hortaçsu & Dan Ariely, 2010. "Matching and Sorting in Online Dating," American Economic Review, American Economic Association, vol. 100(1), pages 130-163, March.
    24. William Thomson, 1983. "The Fair Division of a Fixed Supply Among a Growing Population," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 319-326, August.
    25. Manabu Toda, 2006. "Monotonicity and Consistency in Matching Markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 13-31, April.
    26. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    27. Toulis, Panos & Parkes, David C., 2015. "Design and analysis of multi-hospital kidney exchange mechanisms using random graphs," Games and Economic Behavior, Elsevier, vol. 91(C), pages 360-382.
    28. repec:oup:restud:v:84:y::i:1:p:444-463. is not listed on IDEAS
    29. Caldarelli, G. & Capocci, A., 2001. "Beauty and distance in the stable marriage problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 325-331.
    30. Crawford, Vincent P., 1991. "Comparative statics in matching markets," Journal of Economic Theory, Elsevier, vol. 54(2), pages 389-400, August.
    31. Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
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    Cited by:

    1. Ortega, Josué & Klein, Thilo, 2023. "The cost of strategy-proofness in school choice," Games and Economic Behavior, Elsevier, vol. 141(C), pages 515-528.
    2. Josu'e Ortega, 2018. "The Losses from Integration in Matching Markets can be Large," Papers 1810.10287, arXiv.org.
    3. Thilo Klein & Robert Aue & Josue Ortega, 2020. "School choice with independent versus consolidated districts," Papers 2006.13209, arXiv.org, revised Jul 2024.
    4. Bhardwaj, Bhavook & Kumar, Rajnish & Ortega, Josué, 2020. "Fairness and efficiency in cake-cutting with single-peaked preferences," Economics Letters, Elsevier, vol. 190(C).
    5. Bykhovskaya, Anna, 2020. "Stability in matching markets with peer effects," Games and Economic Behavior, Elsevier, vol. 122(C), pages 28-54.
    6. Rajnish Kunar & Kriti Manocha & Josue Ortega, 2020. "On the integration of Shapley-Scarf housing markets," Papers 2004.09075, arXiv.org, revised Jan 2022.
    7. Josue Ortega & Philipp Hergovich, 2017. "The Strength of Absent Ties: Social Integration via Online Dating," Papers 1709.10478, arXiv.org, revised Sep 2018.
    8. Hadi Hosseini & Andrew Searns, 2021. "Guaranteeing Maximin Shares: Some Agents Left Behind," Papers 2105.09383, arXiv.org.
    9. Ortega, Josué, 2019. "The losses from integration in matching markets can be large," Economics Letters, Elsevier, vol. 174(C), pages 48-51.
    10. Fisher, James C.D., 2020. "Existence of stable allocations in matching markets with infinite contracts: A topological approach," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 136-140.
    11. Erel Segal-Halevi & Shmuel Nitzan, 2019. "Fair cake-cutting among families," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 709-740, December.
    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. Mei, Jie & Chen, Chen & Wang, Jianhui & Kirtley, James L., 2019. "Coalitional game theory based local power exchange algorithm for networked microgrids," Applied Energy, Elsevier, vol. 239(C), pages 133-141.
    14. Takaaki Abe & Shuige Liu, 2019. "Monotonic core allocation paths for assignment games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 557-573, December.
    15. Gersbach, Hans & Haller, Hans, 2022. "Gainers and losers from market integration," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 32-39.
    16. Kumar, Rajnish & Manocha, Kriti & Ortega, Josué, 2022. "On the integration of Shapley–Scarf markets," Journal of Mathematical Economics, Elsevier, vol. 100(C).

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