Simple mechanisms to implement the core of college admissions problems
AbstractThis 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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Bibliographic InfoPaper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1996-13.
Length: 28 pages
Date of creation: Oct 1996
Date of revision:
Publication status: Published by Ivie
College admissions problems; mechanism design;
Other versions of this item:
- Alcalde, Jose & Romero-Medina, Antonio, 2000. "Simple Mechanisms to Implement the Core of College Admissions Problems," Games and Economic Behavior, Elsevier, vol. 31(2), pages 294-302, May.
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
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- Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
- 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.
- Matthew 0. Jackson, 1989. "Implementation in Undominated Strategies - A Look at Bounded Mechanisms," Discussion Papers 833, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Alcalde, Jose & Barbera, Salvador, 1994.
"Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems,"
Springer, vol. 4(3), pages 417-35, May.
- 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).
- Antonio Romero-Medina, 1998. "Implementation of stable solutions in a restricted matching market," Review of Economic Design, Springer, vol. 3(2), pages 137-147.
- 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.
- José Alcalde, 1995.
"Implementation of Stable Solutions to Marriage Problems,"
Working Papers. Serie AD
1995-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
- 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.
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