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Stability and incentives for college admissions with budget constraints

Author

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  • Abizada, Azar

    (School of Business, ADA University)

Abstract

We study two-sided matching where one side (colleges) can make monetary transfers (offer stipends) to the other (students). Colleges have fixed budgets and strict preferences over sets of students. One different feature of our model is that colleges value money only to the extent that it allows them to enroll better or additional students. A student can attend at most one college and receive a stipend from it. Each student has preferences over college-stipend bundles. Conditions that are essential for most of the results in the literature fail in the presence of budget constraints. We define pairwise stability and show that a pairwise stable allocation always exists. We construct an algorithm that always selects a pairwise stable allocation. The rule defined through this algorithm is incentive compatible for students: no student should benefit from misrepresenting his preferences. Finally, we show that no incentive compatible rule selects Pareto-undominated pairwise stable allocation.

Suggested Citation

  • Abizada, Azar, 2016. "Stability and incentives for college admissions with budget constraints," Theoretical Economics, Econometric Society, vol. 11(2), May.
    • Handle: RePEc:the:publsh:1731
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Antonio Romero-Medina & Matteo Triossi, 2023. "Take-it-or-leave-it contracts in many-to-many matching markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 591-623, February.
    2. Afacan, Mustafa Oğuz, 2022. "College admissions with tuition transfers," Games and Economic Behavior, Elsevier, vol. 132(C), pages 400-420.
    3. P'eter Bir'o & Avinatan Hassidim & Assaf Romm & Ran I. Shorrer & S'andor S'ov'ag'o, 2020. "The Large Core of College Admission Markets: Theory and Evidence," Papers 2010.08631, arXiv.org, revised Aug 2022.
    4. Ahmadzadeh, Amirreza & Kamali-Shahdadi, Behrang, 2023. "Matching Unskilled/Skilled Workers to Firms Facing Budget Constraints," TSE Working Papers 23-1446, Toulouse School of Economics (TSE).
    5. Yenmez, M. Bumin, 2018. "A college admissions clearinghouse," Journal of Economic Theory, Elsevier, vol. 176(C), pages 859-885.
    6. 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.
    7. Imamura, Kenzo & Kawase, Yasushi, 2024. "Efficient matching under general constraints," Games and Economic Behavior, Elsevier, vol. 145(C), pages 197-207.
    8. Azar Abizada, 2017. "Paths to stability for college admissions with budget constraints," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(3), pages 879-890, August.
    9. Afacan, Mustafa Oǧuz, 2020. "Graduate admission with financial support," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 114-127.
    10. Yasushi Kawase & Hanna Sumita & Yu Yokoi, 2022. "Random Assignment of Indivisible Goods under Constraints," Papers 2208.07666, arXiv.org, revised Dec 2024.
    11. Eun Jeong Heo, 2023. "Financial aid in college admissions: need-based versus merit-based," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 265-297, January.
    12. Britta Hoyer & Nadja Stroh-Maraun, 2020. "Stability in Weighted College Admissions Problems," Working Papers Dissertations 63, Paderborn University, Faculty of Business Administration and Economics.

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    More about this item

    Keywords

    Pairwise stability; budget constraint; strategy-proofness; Pareto-undominated;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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