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Simple mechanisms to implement the core of college admissions problems

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Author Info

  • José Alcalde Pérez

    () (Universidad de Alicante)

  • Antonio Romero-Medina

    (University of California-Riverside)

Abstract

This paper provides three simple mechanisms to implement allocations in the core of matching markets. We analyze some sequential mechanisms which mimic matching procedures for many-to-one real life matching markets. We show that only core allocations should be attained when agents act strategically faced with these mechanisms. Two mechanisms implement the core correspondence in SPE, whereas the third implements the students' optimal stable solution.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1996-13.pdf
File Function: Fisrt version / Primera version, 1996
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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 1996-13.

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Length: 28 pages
Date of creation: Oct 1996
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1996-13

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Keywords: College admissions problems; mechanism design;

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References

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  1. Antonio Romero-Medina, 1998. "Implementation of stable solutions in a restricted matching market," Review of Economic Design, Springer, vol. 3(2), pages 137-147.
  2. Jackson, Matthew O, 1992. "Implementation in Undominated.Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Wiley Blackwell, vol. 59(4), pages 757-75, October.
  3. Alcalde, Jose & Perez-Castrillo, David & Romero-Medina, Antonio, 1998. "Hiring Procedures to Implement Stable Allocations," Journal of Economic Theory, Elsevier, vol. 82(2), pages 469-480, October.
  4. 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.
  5. 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.
  6. Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
  7. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
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