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Fair School Placement

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  • Alcalde, José

    ()
    (Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica)

  • Romero-Medina, Antonio

    ()
    (Universidad Carlos III de Madrid, Departamento de Economía)

Abstract

This paper introduces tau-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 lambda-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 tau-fair allocations and provide support for this (possible) reformulation.

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Bibliographic Info

Paper provided by Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica in its series QM&ET Working Papers with number 11-1.

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Length: 36 pages
Date of creation: 18 Oct 2011
Date of revision:
Handle: RePEc:ris:qmetal:2011_001

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Keywords: School Choice Problem; Fair Matching;

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References

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  1. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer, vol. 1(1), pages 275-287, December.
  2. Alcalde-Unzu, Jorge & Molis, Elena, 2011. "Exchange of indivisible goods and indifferences: The Top Trading Absorbing Sets mechanisms," Games and Economic Behavior, Elsevier, vol. 73(1), pages 1-16, September.
  3. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  4. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, MIT Press, vol. 125(3), pages 1297-1348, August.
  5. 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.
  6. Atila Abdulkadiroglu & Tayfun Smez, 2003. "School Choice: A Mechanism Design Approach," Discussion Papers 0203-18, Columbia University, Department of Economics.
  7. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2006. "Changing the Boston School Choice Mechanism," Levine's Bibliography 122247000000001022, UCLA Department of Economics.
  8. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  9. 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.
  10. Sönmez, Tayfun & Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The Boston Public School Match," Scholarly Articles 2562764, Harvard University Department of Economics.
  11. 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.
  12. Ehlers, Lars & Erdil, Aytek, 2010. "Efficient assignment respecting priorities," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1269-1282, May.
  13. Alcalde, Jose & Barbera, Salvador, 1994. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," Economic Theory, Springer, vol. 4(3), pages 417-35, May.
  14. José Alcalde Pérez & Antonio Romero-Medina, 2011. "Fair School Placement," Working Papers. Serie AD 2011-22, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  15. José Alcalde, 1995. "Implementation of Stable Solutions to Marriage Problems," Working Papers. Serie AD 1995-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  16. 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 669-89, June.
  17. 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.
  18. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  19. 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.
  20. Tayfun Sönmez & M. Utku Ünver, 2009. "Matching, Allocation, and Exchange of Discrete Resources," Boston College Working Papers in Economics 717, Boston College Department of Economics.
  21. 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.
  22. 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.
  23. H. R. Varian, 1973. "Equity, Envy and Efficiency," Working papers 115, Massachusetts Institute of Technology (MIT), Department of Economics.
  24. Roth, Alvin E., 1982. "Incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 9(2), pages 127-132.
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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, 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.
  3. 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.
  4. 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.
  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 & Subiza, Begoña, 2011. "On Integration Policies and Schooling," MPRA Paper 29145, University Library of Munich, Germany.

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