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New axioms for immediate acceptance

Author

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  • Yajing Chen

    (East China University of Science and Technology)

Abstract

Following Kojima and Ünver (Econ Theory 55(3):515–544, 2014) and Afacan (Math Soc Sci 66(2):176–179, 2013), this paper provides two characterizations of the Boston school choice mechanism determined by the student-proposing immediate acceptance algorithm. A mechanism is the Boston mechanism if and only if it satisfies one of the following two groups of axioms: favoring higher ranks and weak fairness; favoring higher ranks, rank monotonicity, and rank rationality.

Suggested Citation

  • Yajing Chen, 2016. "New axioms for immediate acceptance," Review of Economic Design, Springer;Society for Economic Design, vol. 20(4), pages 329-337, December.
    • Handle: RePEc:spr:reecde:v:20:y:2016:i:4:d:10.1007_s10058-016-0194-0
    DOI: 10.1007/s10058-016-0194-0
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    References listed on IDEAS

    as
    1. Fuhito Kojima & Mihai Manea, 2010. "Axioms for Deferred Acceptance," Econometrica, Econometric Society, vol. 78(2), pages 633-653, March.
    2. Fuhito Kojima & M. Ünver, 2014. "The “Boston” school-choice mechanism: an axiomatic approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 515-544, April.
    3. Morrill, Thayer, 2015. "Making just school assignments," Games and Economic Behavior, Elsevier, vol. 92(C), pages 18-27.
    4. Afacan, Mustafa Oǧuz, 2013. "Alternative characterizations of Boston mechanism," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 176-179.
    Full references (including those not matched with items on IDEAS)

    Citations

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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. Yajing Chen & Patrick Harless & Zhenhua Jiao, 2021. "The probabilistic rank random assignment rule and its axiomatic characterization," Papers 2104.09165, arXiv.org.
    3. Atila Abdulkadiroglu & Tommy Andersson, 2022. "School Choice," NBER Working Papers 29822, National Bureau of Economic Research, Inc.
    4. Yajing Chen, 2017. "New axioms for deferred acceptance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 393-408, February.
    5. Rasoul Ramezanian & Mehdi Feizi, 2021. "Ex-post favoring ranks: a fairness notion for the random assignment problem," Review of Economic Design, Springer;Society for Economic Design, vol. 25(3), pages 157-176, September.
    6. 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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    More about this item

    Keywords

    Immediate acceptance algorithm; Favoring higher ranks; Characterization;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I20 - Health, Education, and Welfare - - Education - - - General

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