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Local and global consistency properties for student placement

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  • Klaus, Bettina
  • Klijn, Flip

Abstract

In the context of resource allocation on the basis of priorities, Ergin (2002) identifies a necessary and sufficient condition on the priority structure such that the student-optimal stable mechanism satisfies a consistency principle. Ergin (2002) formulates consistency as a local property based on a fixed population of agents and fixed resources—we refer to this condition as local consistency and to his condition on the priority structure as local acyclicity. A related but stronger necessary and sufficient condition on the priority structure such that the student-optimal stable mechanism satisfies a more standard global consistency property is unit acyclicity.

Suggested Citation

  • Klaus, Bettina & Klijn, Flip, 2013. "Local and global consistency properties for student placement," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 222-229.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:3:p:222-229
    DOI: 10.1016/j.jmateco.2013.03.002
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    14. Rodrigo Velez, 2014. "Consistent strategy-proof assignment by hierarchical exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 125-156, May.
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    16. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
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    Cited by:

    1. Rodrigo Velez, 2014. "Consistent strategy-proof assignment by hierarchical exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 125-156, May.
    2. Takashi Akahoshi, 2014. "A necessary and sufficient condition for stable matching rules to be strategy-proof," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 683-702, October.
    3. Abizada, Azar & Bó, Inácio, 2021. "Hiring from a pool of workers," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 576-591.
    4. Akahoshi, Takashi, 2014. "Singleton core in many-to-one matching problems," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 7-13.
    5. Zhenhua Jiao & Ziyang Shen & Guoqiang Tian, 2022. "When is the deferred acceptance mechanism responsive to priority-based affirmative action?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 257-282, February.
    6. Nanyang Bu, 2014. "Characterizations of the sequential priority rules in the assignment of object types," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 635-645, October.
    7. 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.
    8. Afacan, Mustafa Oğuz & Dur, Umut Mert, 2017. "Incompatibility between stability and consistency," Economics Letters, Elsevier, vol. 150(C), pages 135-137.
    9. Harless, Patrick, 2014. "A School Choice Compromise: Between Immediate and Deferred Acceptance," MPRA Paper 61417, University Library of Munich, Germany.
    10. Nizamogullari, Duygu & Özkal-Sanver, İpek, 2014. "Characterization of the core in full domain marriage problems," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 34-42.

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    More about this item

    Keywords

    Student placement; Consistency; Converse consistency; Priority structure;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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