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Acyclic priority profiles in school choice: Characterizations

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  • Chen, Siwei
  • Heo, Eun Jeong

Abstract

In school choice problems, a list of restrictions have been imposed on priorities to achieve desirable properties of rules. However, it is difficult to verify these “acyclicity” conditions and identify the structure of the restricted priority profiles. To improve visibility and verifiability, we provide characterizations of these conditions. We also present the logical relations among the conditions by using our characterizations.

Suggested Citation

  • Chen, Siwei & Heo, Eun Jeong, 2021. "Acyclic priority profiles in school choice: Characterizations," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 22-30.
    • Handle: RePEc:eee:mateco:v:92:y:2021:i:c:p:22-30
    DOI: 10.1016/j.jmateco.2020.10.008
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    References listed on IDEAS

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    1. ,, 2011. "Robust stability in matching markets," Theoretical Economics, Econometric Society, vol. 6(2), May.
    2. Caterina Calsamiglia & Guillaume Haeringer & Flip Klijn, 2010. "Constrained School Choice: An Experimental Study," American Economic Review, American Economic Association, vol. 100(4), pages 1860-1874, September.
    3. Ehlers, Lars & Erdil, Aytek, 2010. "Efficient assignment respecting priorities," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1269-1282, May.
    4. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    5. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    6. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.
    7. Hatfield, John William & Kojima, Fuhito & Narita, Yusuke, 2016. "Improving schools through school choice: A market design approach," Journal of Economic Theory, Elsevier, vol. 166(C), pages 186-211.
    8. Kesten, Onur, 2006. "On two competing mechanisms for priority-based allocation problems," Journal of Economic Theory, Elsevier, vol. 127(1), pages 155-171, March.
    9. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    10. Kumano, Taro, 2013. "Strategy-proofness and stability of the Boston mechanism: An almost impossibility result," Journal of Public Economics, Elsevier, vol. 105(C), pages 23-29.
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    Cited by:

    1. Siwei Chen & Yajing Chen & Chia‐Ling Hsu, 2023. "New axioms for top trading cycles," Bulletin of Economic Research, Wiley Blackwell, vol. 75(4), pages 1064-1077, October.
    2. Siwei Chen & Yajing Chen & Chia-Ling Hsu, 2021. "New axioms for top trading cycles," Papers 2104.09157, arXiv.org, revised Jun 2021.

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