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When Can Manipulations be Avoided in Two-Sided Matching Markets? -- Maximal Domain Results

Author

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  • Kojima Fuhito

    (Harvard University, kojima@fas.harvard.edu)

Abstract

In two-sided matching markets, stable mechanisms are vulnerable to various kinds of manipulations. This paper investigates conditions for the student-optimal stable mechanism (SOSM) and the college-optimal stable mechanism (COSM) to be immune to manipulations via capacities and pre-arranged matches. For SOSM, we find that strongly monotone preferences in populations and weakly maximin preferences are the maximal domains of college preferences that guarantee immunity to manipulations via capacities and pre-arranged matches, respectively. In contrast, COSM is susceptible to both manipulations whenever colleges have multiple positions.

Suggested Citation

  • Kojima Fuhito, 2007. "When Can Manipulations be Avoided in Two-Sided Matching Markets? -- Maximal Domain Results," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-18, September.
    • Handle: RePEc:bpj:bejtec:v:7:y:2007:i:1:n:32
    DOI: 10.2202/1935-1704.1405
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    References listed on IDEAS

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    Cited by:

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    2. Parag A. Pathak & Alvin E. Roth, 2013. "Matching with Couples: Stability and Incentives in Large Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(4), pages 1585-1632.
    3. Afacan, Mustafa Oğuz & Dur, Umut & Van der Linden, Martin, 2024. "Capacity design in school choice," Games and Economic Behavior, Elsevier, vol. 146(C), pages 277-291.
    4. Antonio Romero-Medina & Matteo Triossi, 2013. "Games with capacity manipulation: incentives and Nash equilibria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 701-720, September.
    5. Eun Jeong Heo, 2019. "Preference profiles for efficiency, fairness, and consistency in school choice problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 243-266, March.
    6. Onur Kesten, 2012. "On two kinds of manipulation for school choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 677-693, November.
    7. Mehmet Ekmekci & M. Bumin Yenmez, "undated". "Integrating Schools for Centralized Admissions," GSIA Working Papers 2014-E20, Carnegie Mellon University, Tepper School of Business.
    8. Jiao, Zhenhua & Tian, Guoqiang, 2017. "The Blocking Lemma and strategy-proofness in many-to-many matchings," Games and Economic Behavior, Elsevier, vol. 102(C), pages 44-55.

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