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Truncation Strategies in Matching Markets

Author

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  • Lars Ehlers

    () (Département de Sciences Économiques and CIREQ, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, Québec H3C 3J7, Canada)

Abstract

Roth and Rothblum [Roth, A. E., U. G. Rothblum. 1999. Truncation strategies in matching markets---In search of advice for participants. Econometrica 67 21--43] showed that for matching markets using the deferred acceptance algorithm a physician with symmetric (incomplete) information possibly gains only by truncating her true ranking. We show that in symmetric information environments this result is identical for all priority mechanisms and all linear programming mechanisms introduced in British entry-level medical markets and in public school choice in some American cities.

Suggested Citation

  • Lars Ehlers, 2008. "Truncation Strategies in Matching Markets," Mathematics of Operations Research, INFORMS, vol. 33(2), pages 327-335, May.
  • Handle: RePEc:inm:ormoor:v:33:y:2008:i:2:p:327-335
    DOI: 10.1287/moor.1070.0294
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    File URL: http://dx.doi.org/10.1287/moor.1070.0294
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    References listed on IDEAS

    as
    1. Ehlers, Lars, 2004. "In search of advice for participants in matching markets which use the deferred-acceptance algorithm," Games and Economic Behavior, Elsevier, vol. 48(2), pages 249-270, August.
    2. Alcalde, Jose & Barbera, Salvador, 1994. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 417-435, May.
    3. Roth, Alvin E, 1991. "A Natural Experiment in the Organization of Entry-Level Labor Markets: Regional Markets for New Physicians and Surgeons in the United Kingdom," American Economic Review, American Economic Association, vol. 81(3), pages 415-440, June.
    4. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2006. "Changing the Boston School Choice Mechanism," Boston College Working Papers in Economics 639, Boston College Department of Economics.
    5. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    6. Ergin, Haluk & Sonmez, Tayfun, 2006. "Games of school choice under the Boston mechanism," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 215-237, January.
    7. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    8. Aytek Erdil & Haluk Ergin, 2008. "What's the Matter with Tie-Breaking? Improving Efficiency in School Choice," American Economic Review, American Economic Association, vol. 98(3), pages 669-689, June.
    9. Alvin E. Roth & Uriel G. Rothblum, 1999. "Truncation Strategies in Matching Markets--In Search of Advice for Participants," Econometrica, Econometric Society, vol. 67(1), pages 21-44, January.
    10. Shohei Takagi & Shigehiro Serizawa, 2006. "An Impossibility Theorem in Matching Problems," ISER Discussion Paper 0677, Institute of Social and Economic Research, Osaka University.
    11. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ju, Yan & Lin, Deguang & Wang, Dazhong, 2018. "Affirmative action in school choice: A new solution," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 1-9.
    2. Lars Ehlers & Bettina Klaus, 2014. "Strategy-Proofness Makes the Difference: Deferred-Acceptance with Responsive Priorities," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 949-966, November.
    3. EHLERS, Lars & MASSO, Jordi, 2018. "Robust design in monotonic matching markets: A case for firm-proposing deferred-acceptance," Cahiers de recherche 2018-02, Universite de Montreal, Departement de sciences economiques.
    4. Fuhito Kojima & M. Utku Ünver, 2010. "The 'Boston' School-Choice Mechanism," Boston College Working Papers in Economics 729, Boston College Department of Economics, revised 08 Oct 2010.
    5. 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.
    6. Mustafa Og̃uz Afacan & Zeynel Harun Aliog̃ulları & Mehmet Barlo, 2017. "Sticky matching in school choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 509-538, October.
    7. Paula Jaramillo & Cagatay Kayi & Flip Klijn, 2017. "School Choice: Nash Implementation of Stable Matchings through Rank-Priority Mechanisms," Documentos CEDE 015611, Universidad de los Andes - CEDE.
    8. Christian Haas & Margeret Hall, 2019. "Two-Sided Matching for mentor-mentee allocations—Algorithms and manipulation strategies," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-27, March.
    9. Troyan, Peter & Morrill, Thayer, 2020. "Obvious manipulations," Journal of Economic Theory, Elsevier, vol. 185(C).

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