IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v113y2019icp199-208.html
   My bibliography  Save this article

Welfare and incentives in partitioned school choice markets

Author

Listed:
  • Turhan, Bertan

Abstract

This paper examines the effects of partition structure of schools on students' welfare and on incentives students face under the iterative student optimal stable mechanism (I-SOSM), introduced by Manjunath and Turhan (2016), in divided school enrollment systems. I find that when school partition gets coarser students' welfare weakly increases under the I-SOSM for any number of iterations. I also show that under coarser school partitions the I-SOSM becomes weakly less manipulable for students (when iterated sufficiently many times to reach a stable assignment) according to the “as strongly manipulable as” criteria defined by Pathak and Sönmez (2013). These results suggest that when full integration is not possible keeping school partition as coarse as possible benefits students with respect to their welfare and incentives they face if stability is a concern for policymakers.

Suggested Citation

  • Turhan, Bertan, 2019. "Welfare and incentives in partitioned school choice markets," Games and Economic Behavior, Elsevier, vol. 113(C), pages 199-208.
    • Handle: RePEc:eee:gamebe:v:113:y:2019:i:c:p:199-208
    DOI: 10.1016/j.geb.2018.09.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S089982561830157X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2018.09.015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    2. Parag A. Pathak & Tayfun Sönmez, 2013. "School Admissions Reform in Chicago and England: Comparing Mechanisms by Their Vulnerability to Manipulation," American Economic Review, American Economic Association, vol. 103(1), pages 80-106, February.
    3. Manjunath, Vikram & Turhan, Bertan, 2016. "Two school systems, one district: What to do when a unified admissions process is impossible," Games and Economic Behavior, Elsevier, vol. 95(C), pages 25-40.
    4. Schwarz, Michael & Yenmez, M. Bumin, 2011. "Median stable matching for markets with wages," Journal of Economic Theory, Elsevier, vol. 146(2), pages 619-637, March.
    5. Battal Dogan & Bumin Yenmez, 2017. "Unified Enrollment in School Choice: How to Improve Student Assignment in Chicago," Cahiers de Recherches Economiques du Département d'économie 17.10, Université de Lausanne, Faculté des HEC, Département d’économie.
    6. Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-427, March.
    7. Peter Chen & Michael Egesdal & Marek Pycia & M. Bumin Yenmez, 2016. "Manipulability of Stable Mechanisms," American Economic Journal: Microeconomics, American Economic Association, vol. 8(2), pages 202-214, May.
    8. Battal Doğan & M. Bumin Yenmez, 2023. "When does an additional stage improve welfare in centralized assignment?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1145-1173, November.
    9. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
    10. 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.
    11. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    12. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 1297-1348.
    13. 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

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Aue, Robert & Klein, Thilo & Ortega, Josué, 2020. "What happens when separate and unequal school districts merge?," ZEW Discussion Papers 20-032, ZEW - Leibniz Centre for European Economic Research.
    2. Yannai A. Gonczarowski & Michael Yin & Shirley Zhang, 2024. "Multi-District School Choice: Playing on Several Fields," Papers 2403.04530, arXiv.org.
    3. Decerf, Benoit & Van der Linden, Martin, 2021. "Manipulability in school choice," Journal of Economic Theory, Elsevier, vol. 197(C).
    4. Atila Abdulkadiroglu & Tommy Andersson, 2022. "School Choice," NBER Working Papers 29822, National Bureau of Economic Research, Inc.
    5. Mustafa Oğuz Afacan & Inácio Bó & Bertan Turhan, 2023. "Assignment maximization," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 123-138, February.
    6. Thilo Klein & Robert Aue & Josue Ortega, 2020. "School choice with independent versus consolidated districts," Papers 2006.13209, arXiv.org, revised Jul 2024.
    7. Battal Doğan & M. Bumin Yenmez, 2023. "When does an additional stage improve welfare in centralized assignment?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1145-1173, November.
    8. Doğan, Battal & Yenmez, M. Bumin, 2019. "Unified versus divided enrollment in school choice: Improving student welfare in Chicago," Games and Economic Behavior, Elsevier, vol. 118(C), pages 366-373.
    9. Afacan, Mustafa Oğuz & Evdokimov, Piotr & Hakimov, Rustamdjan & Turhan, Bertan, 2022. "Parallel markets in school choice," Games and Economic Behavior, Elsevier, vol. 133(C), pages 181-201.
    10. Tetsutaro Hatakeyama, 2023. "When is a sequential school choice system (non-)deficient?," Keio-IES Discussion Paper Series 2023-012, Institute for Economics Studies, Keio University.
    11. Rajnish Kunar & Kriti Manocha & Josue Ortega, 2020. "On the integration of Shapley-Scarf housing markets," Papers 2004.09075, arXiv.org, revised Jan 2022.
    12. Kumar, Rajnish & Manocha, Kriti & Ortega, Josué, 2022. "On the integration of Shapley–Scarf markets," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    13. repec:hhs:lunewp:2023_012 is not listed on IDEAS

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Abdulkadiroglu, Atila & Andersson, Tommy, 2022. "School Choice," Working Papers 2022:4, Lund University, Department of Economics.
    2. Ayoade, Nickesha & Pápai, Szilvia, 2023. "School choice with preference rank classes," Games and Economic Behavior, Elsevier, vol. 137(C), pages 317-341.
    3. Onur Kesten, 2012. "On two kinds of manipulation for school choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 677-693, November.
    4. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    5. Somouaoga Bonkoungou & Alexander Nesterov, 2020. "Reforms meet fairness concerns in school and college admissions," Papers 2009.05245, arXiv.org, revised Sep 2024.
    6. Harless, Patrick, 2014. "A School Choice Compromise: Between Immediate and Deferred Acceptance," MPRA Paper 61417, University Library of Munich, Germany.
    7. Troyan, Peter & Morrill, Thayer, 2020. "Obvious manipulations," Journal of Economic Theory, Elsevier, vol. 185(C).
    8. Somouaoga Bonkoungou & Alexander S. Nesterov, 2020. "Comparing School Choice and College Admission Mechanisms By Their Immunity to Strategic Admissions," Papers 2001.06166, arXiv.org, revised Jan 2020.
    9. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," American Economic Review, American Economic Association, vol. 99(5), pages 1954-1978, December.
    10. Ehlers, Lars & Hafalir, Isa E. & Yenmez, M. Bumin & Yildirim, Muhammed A., 2014. "School choice with controlled choice constraints: Hard bounds versus soft bounds," Journal of Economic Theory, Elsevier, vol. 153(C), pages 648-683.
    11. 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.
    12. Kóczy Á., László, 2009. "Központi felvételi rendszerek. Taktikázás és stabilitás [Central admission systems. Stratagems and stability]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(5), pages 422-442.
    13. Umut M. Dur & Scott Duke Kominers & Parag A. Pathak & Tayfun Sönmez, 2013. "The Demise of Walk Zones in Boston: Priorities vs. Precedence in School Choice," NBER Working Papers 18981, National Bureau of Economic Research, Inc.
    14. Morrill, Thayer, 2015. "Making just school assignments," Games and Economic Behavior, Elsevier, vol. 92(C), pages 18-27.
    15. Kesten, Onur & Unver, Utku, 2015. "A theory of school choice lotteries," Theoretical Economics, Econometric Society, vol. 10(2), May.
    16. Troyan, Peter & Delacrétaz, David & Kloosterman, Andrew, 2020. "Essentially stable matchings," Games and Economic Behavior, Elsevier, vol. 120(C), pages 370-390.
    17. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    18. José Alcalde & Antonio Romero-Medina, 2017. "Fair student placement," Theory and Decision, Springer, vol. 83(2), pages 293-307, August.
    19. 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.
    20. Qianfeng Tang & Yongchao Zhang, 2021. "Weak stability and Pareto efficiency in school choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 533-552, March.

    More about this item

    Keywords

    School partitions; Divided enrollment; School choice; Fairness; Non-wastefulness; Preference manipulation;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:113:y:2019:i:c:p:199-208. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.