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The “Boston” school-choice mechanism: an axiomatic approach

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  • Fuhito Kojima
  • M. Ünver

Abstract

The Boston mechanism is a popular student-placement mechanism in school-choice programs around the world. We provide two characterizations of the Boston mechanism. We introduce two new axioms; favoring higher ranks and rank-respecting invariance. A mechanism is the Boston mechanism for some priority if and only if it favors higher ranks and satisfies consistency, resource monotonicity, and rank-respecting invariance. In environments where each type of object has exactly one unit, as in house allocation, a characterization is given by favoring higher ranks, individual rationality, population monotonicity, and rank-respecting invariance. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
  • Handle: RePEc:spr:joecth:v:55:y:2014:i:3:p:515-544
    DOI: 10.1007/s00199-013-0769-8
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    2. 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.
    3. Basteck, Christian & Mantovani, Marco, 2018. "Cognitive ability and games of school choice," Games and Economic Behavior, Elsevier, vol. 109(C), pages 156-183.
    4. Afacan, Mustafa Og̃uz & Dur, Umut Mert, 2017. "When preference misreporting is Harm[less]ful?," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 16-24.
    5. Paula Jaramillo, 2017. "Minimal consistent enlargements of the immediate acceptance rule and the top trading cycles rule in school choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 177-195, January.
    6. Yajing Chen, 2016. "New axioms for immediate acceptance," Review of Economic Design, Springer;Society for Economic Design, vol. 20(4), pages 329-337, December.
    7. Bogomolnaia, Anna & Moulin, Herve, 2015. "Size versus fairness in the assignment problem," Games and Economic Behavior, Elsevier, vol. 90(C), pages 119-127.
    8. Christian Basteck & Bettina Klaus & Dorothea Kuebler, 2018. "How Lotteries in School Choice Help to Level the Playing Field," Cahiers de Recherches Economiques du Département d'économie 18.06, Université de Lausanne, Faculté des HEC, Département d’économie.
    9. Doğan, Battal & Klaus, Bettina, 2018. "Object allocation via immediate-acceptance: Characterizations and an affirmative action application," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 140-156.
    10. Karakaya, Mehmet & Klaus, Bettina & Schlegel, Jan Christoph, 2019. "Top trading cycles, consistency, and acyclic priorities for house allocation with existing tenants," Journal of Economic Theory, Elsevier, vol. 184(C).
    11. Triossi, Matteo & Romero-Medina, Antonio, 2018. "Centralized Course Allocation," UC3M Working papers. Economics 27388, Universidad Carlos III de Madrid. Departamento de Economía.
    12. Matías Núñez, 2014. "The strategic sincerity of Approval voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 157-189, May.
    13. Inácio Bó & C.-Philipp Heller, 2017. "Strategic schools under the Boston mechanism revisited," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 545-572, March.
    14. Jaramillo, Paula & Kayı, Çaǧatay & Klijn, Flip, 2021. "School choice: Nash implementation of stable matchings through rank-priority mechanisms," Journal of Mathematical Economics, Elsevier, vol. 95(C).
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    16. Battal Doğan & M. Bumin Yenmez, 2020. "Consistent Pareto improvement over the student-optimal stable mechanism," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 125-137, April.
    17. Jorge Alcalde-Unzu & Flip Klijn & Marc Vorsatz, 2021. "Constrained School Choice under the Immediate Acceptance Mechanism: An Experimental QRE Analysis," Working Papers 1270, Barcelona Graduate School of Economics.
    18. Morrill, Thayer, 2015. "Making just school assignments," Games and Economic Behavior, Elsevier, vol. 92(C), pages 18-27.
    19. Afacan, Mustafa Oğuz & Dur, Umut Mert, 2017. "Incompatibility between stability and consistency," Economics Letters, Elsevier, vol. 150(C), pages 135-137.
    20. Umut Dur & Robert G. Hammond & Thayer Morrill, 2019. "The Secure Boston Mechanism: theory and experiments," Experimental Economics, Springer;Economic Science Association, vol. 22(4), pages 918-953, December.
    21. 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.
    22. Harless, Patrick, 2014. "A School Choice Compromise: Between Immediate and Deferred Acceptance," MPRA Paper 61417, University Library of Munich, Germany.
    23. Mennle, Timo & Seuken, Sven, 2021. "Partial strategyproofness: Relaxing strategyproofness for the random assignment problem," Journal of Economic Theory, Elsevier, vol. 191(C).
    24. Kesten, Onur & Kurino, Morimitsu, 2019. "Strategy-proof improvements upon deferred acceptance: A maximal domain for possibility," Games and Economic Behavior, Elsevier, vol. 117(C), pages 120-143.

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    More about this item

    Keywords

    Mechanism design; Matching; School choice; Market design; Boston mechanism; C78; D78;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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