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Strategy-Proof Fair School Placement

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Author Info

  • Alcalde, Jose

    ()
    (Instituto Interuniversitario de Desarrollo Social y Paz)

  • Romero-Medina, Antonio

    (Departamento de Economía)

Abstract

This paper provides an ‘escape route’ from the efficiency-equity trade-off in the School Choice problem. We achieve our objective by presenting a weak notion of fairness, called τ-fairness, which is always non-empty. Then, we propose the adoption of the Student Optimal Compensating Exchange Place rule, a procedure that assigns a τ-fair allocation to each problem. When students’ preferences are restricted to satisfy the Top Dominance condition (Alcalde and Barberà, 1994), the mechanism is strategy-proof.

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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 14-1.

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Length: 39 pages
Date of creation: 13 Feb 2014
Date of revision:
Handle: RePEc:ris:qmetal:2014_001

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Related research

Keywords: School Choice Problem; Fair Matching; Top Dominance Condition; Strategy-Proofness;

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References

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  1. 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.
  2. Ehlers, Lars & Erdil, Aytek, 2010. "Efficient assignment respecting priorities," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1269-1282, May.
  3. Sönmez, Tayfun & Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The Boston Public School Match," Scholarly Articles 2562764, Harvard University Department of Economics.
  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. 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).
  6. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  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. Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
  9. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  10. 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.
  11. 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.
  12. H. R. Varian, 1973. "Equity, Envy and Efficiency," Working papers 115, Massachusetts Institute of Technology (MIT), Department of Economics.
  13. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
  14. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, MIT Press, vol. 125(3), pages 1297-1348, August.
  15. 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.
  16. Roth, Alvin E., 1982. "Incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 9(2), pages 127-132.
  17. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
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Citations

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Cited by:
  1. 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.
  2. Alcalde, Jose & Subiza, Begoña, 2011. "On Integration Policies and Schooling," MPRA Paper 29145, University Library of Munich, Germany.
  3. 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.
  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. 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.
  6. 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.
  7. 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.

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