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Fair School Placement

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Author Info

  • José Alcalde Pérez

    ()
    (Universidad de Alicante)

  • Antonio Romero-Medina

    (Universidad Carlos III de Madrid)

Abstract

This paper introduces &tao;-fairness as a compromise solution reconciling Pareto efficiency and equity in School Choice Problems. We show that, by considering a weak notion of equity that we refer to as ¿-equity, it is possible to contribute positively to solve an open debate, originated by the efficiency-equity trade-off of the schooling problem. We also suggest a slight modification to some allocative procedures recently introduced in the United States to compute ¿-fair allocations and provide support for this (possible) reformulation.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2011-22.pdf
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2011-22.

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Length: 36 pages
Date of creation: Oct 2011
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2011-22

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Keywords: School Choice Problem; Fair Matching;

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References

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  1. Roth, Alvin E., 1982. "Incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 9(2), pages 127-132.
  2. Abdulkadiroglu, Atila & Pathak, Parag Abishek & Roth, Alvin E., 2009. "Strategy-Proofness Versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," Scholarly Articles 11077572, Harvard University Department of Economics.
  3. ALCALDE-UNZU, Jorge & MOLIS, Elena, 2009. "Exchange of indivisible goods and indifferences: the Top Trading Absorbing Sets mechanisms," CORE Discussion Papers 2009062, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Alcalde, José & Romero-Medina, Antonio, 2011. "Fair School Placement," QM&ET Working Papers 11-1, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
  5. Atila Abdulkadiroglu & Yeon-Koo Che & Yosuke Yasuda, 2011. "Resolving Conflicting Preferences in School Choice: The "Boston Mechanism" Reconsidered," American Economic Review, American Economic Association, vol. 101(1), pages 399-410, February.
  6. Martinez, Ruth & Masso, Jordi & Neme, Alejandro & Oviedo, Jorge, 2000. "Single Agents and the Set of Many-to-One Stable Matchings," Journal of Economic Theory, Elsevier, vol. 91(1), pages 91-105, March.
  7. José Alcalde, 1995. "Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets," Working Papers. Serie AD 1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  8. H. R. Varian, 1973. "Equity, Envy and Efficiency," Working papers 115, Massachusetts Institute of Technology (MIT), Department of Economics.
  9. Atila Abdulkadiroglu & Parag Pathak & Alvin E. Roth & Tayfun Sonmez, 2006. "Changing the Boston School Choice Mechanism," NBER Working Papers 11965, National Bureau of Economic Research, Inc.
  10. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, MIT Press, vol. 125(3), pages 1297-1348, August.
  11. José Alcalde, 1995. "Implementation of Stable Solutions to Marriage Problems," Working Papers. Serie AD 1995-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  12. Alcalde, J. & Barberà, S., 1992. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," UFAE and IAE Working Papers 196.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  13. Haluk Ergin & Tayfun Sönmez, 2005. "Games of School Choice under the Boston Mechanism," Boston College Working Papers in Economics 619, Boston College Department of Economics.
  14. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  15. Atila Abdulkadiroglu & Tayfun Smez, 2003. "School Choice: A Mechanism Design Approach," Discussion Papers 0203-18, Columbia University, Department of Economics.
  16. Aytek Erdil & Haluk Ergin, 2007. "What`s the Matter with Tie-breaking? Improving Efficiency in School Choice," Economics Series Working Papers 349, University of Oxford, Department of Economics.
  17. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  18. Sönmez, Tayfun & Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The Boston Public School Match," Scholarly Articles 2562764, Harvard University Department of Economics.
  19. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  20. 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 1954-78, December.
  21. Ehlers, Lars & Erdil, Aytek, 2010. "Efficient assignment respecting priorities," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1269-1282, May.
  22. 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.
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Citations

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Cited by:
  1. Lars Ehlers & Isa E. Hafalir & M. Bumin Yenmez & Muhammed A. Yildirim, 2011. "School Choice with Controlled Choice Constraints: Hard Bounds versus Soft Bounds," Cahiers de recherche 13-2011, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Alcalde, Jose & Romero-Medina, Antonio, 2014. "Strategy-Proof Fair School Placement," QM&ET Working Papers 14-1, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
  3. Alcalde, José & Subiza, Begoña, 2012. "Affirmative Action and School Choice," QM&ET Working Papers 12-3, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
  4. José Alcalde Pérez & Begoña Subiza Martínez, 2012. "On integration policies and schooling," Working Papers. Serie AD 2012-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. YuenLeng Chow & Isa Hafalir & Abdullah Yavas, . "Auctions versus Negotiated Sale: Evidence from Real Estate Sales," GSIA Working Papers 2012-E22, Carnegie Mellon University, Tepper School of Business.
  6. Alcalde, Jose & Romero-Medina, Antonio, 2011. "Re-Reforming the Bostonian System: A Novel Approach to the Schooling Problem," MPRA Paper 28206, University Library of Munich, Germany.
  7. Alcalde, Jose & Silva-Reus, José Ángel, 2013. "Allocating via Priorities," QM&ET Working Papers 13-3, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.

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