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Matching Markets with Mixed Ownership: The Case for A Real-life Assignment Mechanism

Author

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  • Guillen, Pablo
  • Kesten, Onur
Abstract
We consider a common indivisible good allocation problem in which agents have both social and private endowments. Popular applications include student assignment to on-campus housing, kidney exchange, and particular school choice problems. In a series of experiments Chen and Sönmez (American Economic Review 92: 1669-1686, 2002) have shown that a popular mechanism from recent theory, the Top Trading Cycles (TTC) mechanism, induces a significantly higher participation rate by agents with private endowments and leads to significantly more efficient outcomes than the most commonly used real-life mechanism, the Random Serial Dictatorship with Squatting Rights.We first show that a particular mechanism, the so-called New House 4 (NH4) mechanism, which has been in use at MIT since the 1980s, is in fact outcome-equivalent to a natural adaptation of the well-known Gale-Shapley mechanism of two-sided matching theory. This implies that the NH4 mechanism is the most efficient mechanism within the class of fair and individually rational mechanisms, and that it is essentially the only incentive compatible mechanism satisfying the two properties. We then experimentally compare NH4 and TTC. We find that under NH4, the participation rate is significantly higher than under TTC. We also propose a new efficiency test based on ordinal preference information and show that NH4 also outperforms TTC in terms of efficiency.

Suggested Citation

  • Guillen, Pablo & Kesten, Onur, 2010. "Matching Markets with Mixed Ownership: The Case for A Real-life Assignment Mechanism," Working Papers 2010-01, University of Sydney, School of Economics.
    • Handle: RePEc:syd:wpaper:2123/7220
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    Cited by:

    1. Alexander Westkamp, 2013. "An analysis of the German university admissions system," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 561-589, August.
    2. Hugh-Jones, David & Kurino, Morimitsu & Vanberg, Christoph, 2014. "An experimental study on the incentives of the probabilistic serial mechanism," Games and Economic Behavior, Elsevier, vol. 87(C), pages 367-380.
    3. Braun, Sebastian & Dwenger, Nadja & Kübler, Dorothea & Westkamp, Alexander, 2014. "Implementing quotas in university admissions: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 85(C), pages 232-251.
    4. Guillen, Pablo & Hing, Alexander, 2014. "Lying through their teeth: Third party advice and truth telling in a strategy proof mechanism," European Economic Review, Elsevier, vol. 70(C), pages 178-185.
    5. Rustamdjan Hakimov & C.-Philipp Heller & Dorothea Kübler & Morimitsu Kurino, 2021. "How to Avoid Black Markets for Appointments with Online Booking Systems," American Economic Review, American Economic Association, vol. 111(7), pages 2127-2151, July.
    6. Afacan, Mustafa Oǧuz, 2024. "Non-vetoed matching with status quo," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    7. Lingbo Huang & Tracy Xiao Liu & Jun Zhang, 2023. "Born to wait? A study on allocation rules in booking systems," Discussion Papers 2023-04, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    8. Hakimov, Rustamdjan & Kübler, Dorothea, 2019. "Experiments On Matching Markets: A Survey," Rationality and Competition Discussion Paper Series 153, CRC TRR 190 Rationality and Competition.
    9. Jinyong Jeong, 2021. "Matching with property rights: an application to Korean teacher transfer program," Review of Economic Design, Springer;Society for Economic Design, vol. 25(3), pages 139-156, September.
    10. Hafalir, Isa E. & Kojima, Fuhito & Yenmez, M. Bumin, 2022. "Interdistrict school choice: A theory of student assignment," Journal of Economic Theory, Elsevier, vol. 201(C).
    11. Umut Dur & Onur Kesten, 2019. "Sequential versus simultaneous assignment systems and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 251-283, September.
    12. Schummer, James & Abizada, Azar, 2017. "Incentives in landing slot problems," Journal of Economic Theory, Elsevier, vol. 170(C), pages 29-55.
    13. Carrillo, Juan & Singhal, Saurabh, 2011. "Tiered Housing Allocation: an Experimental Analysis," CEPR Discussion Papers 8255, C.E.P.R. Discussion Papers.
    14. Julien Combe & Jan Christoph Schlegel, 2021. "Reallocation with Priorities," Working Papers 2021-09, Center for Research in Economics and Statistics.
    15. Julien Combe, 2023. "Reallocation with priorities and minimal envy mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 551-584, August.
    16. Afacan, Mustafa Oğuz & Hu, Gaoji & Li, Jiangtao, 2024. "Housing markets since Shapley and Scarf," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    17. Qianfeng Tang & Yongchao Zhang, 2021. "Weak stability and Pareto efficiency in school choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 533-552, March.
    18. Rustamdjan Hakimov & Onur Kesten, 2018. "The Equitable Top Trading Cycles Mechanism For School Choice," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(4), pages 2219-2258, November.
    19. Combe, Julien & Schlegel, Jan Christoph, 2024. "Reallocation with priorities," Games and Economic Behavior, Elsevier, vol. 143(C), pages 287-299.
    20. Juan D. Carrillo & Saurabh Singhal, 2016. "Tiered Housing Allocation with Preannounced Rankings: An Experimental Analysis," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(1), pages 133-160, March.
    21. John Kennes Jr. & Daniel Monte Jr. & Norovsambuu Tumennasan Jr., 2014. "The Day Care Assignment: A Dynamic Matching Problem," American Economic Journal: Microeconomics, American Economic Association, vol. 6(4), pages 362-406, November.
    22. Kesten, Onur & Kurino, Morimitsu, 2019. "Strategy-proof improvements upon deferred acceptance: A maximal domain for possibility," Games and Economic Behavior, Elsevier, vol. 117(C), pages 120-143.

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    Keywords

    Priority; Deferred acceptance; Matching; House allocation;
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