Alcalde, Jose and Romero-Medina, Antonio (2011): On Stability and Efficiency in School Choice Problems.
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Abstract
This paper proposes a way to allocate students to schools such that conciliates Pareto efficiency and stability. Taking as a starting point the recent reform proposed by the Boston School Committee, we propose a marginal modification to reach our objective redefine how students are prioritize. Our proposal is to allow schools to prioritize only a small set of students an then use a common priority order for the rest. Under this condition we propose a score based priority ranking that makes the output of the new Boston Mechanism Pareto efficient and stable.
Item Type: | MPRA Paper |
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Original Title: | On Stability and Efficiency in School Choice Problems |
Language: | English |
Keywords: | School allocation problem; Pareto efficient matching |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games |
Item ID: | 28831 |
Depositing User: | Jose Alcalde |
Date Deposited: | 17 Feb 2011 18:21 |
Last Modified: | 28 Sep 2019 01:52 |
References: | A. Abdulkadiro§lu, P.A. Pathak and A.E. Roth (2009). Strategy-proofness versus Eciency in Matching with Indifferences: Redesigning the NYC High School Match. American Economic Review, Papers and Proceedings, 99, 1954-1958. A. Abdulkadiro§lu, P.A. Pathak, A.E. Roth and T. Sönmez (2005). The Boston Public School Match. American Economic Review, Papers and Proceedings, 95, 368-371. A. Abdulkadiro§lu, P.A. Pathak, A.E. Roth and T. Sönmez (2006). Changing the Boston School Choice Mechanism: Strategy-proofness as Equal Access, mimeographed. Harvard University. J. Alcalde (1996). Implementation of Stable Solutions to Marriage Markets. Journal of Economic Theory, 69, 240-254. J. Alcalde and S. Barberà (1994). Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Markets. Economic Theory, 4, 417-435. J. Alcalde and A. Romero-Medina (2010). Re-Reforming the Bostonian System: A Novel Approach to the Schooling Problem. Mimeo. M. Balinski and T. Sönmez (1999). A Tale of Two Mechanisms: Student Placement. Journal of Economic Theory, 84, 73-94. L. Ehlers and A. Erdil (2010). Ecient assignment respecting priorities. Journal of Economic Theory, 145, 1269-1282. A. Erdil and H. Ergin (2008). What's the Matter with Tie-Breaking? Improving Eciency in School Choice. American Economic Review, 98:3, 669-689. Ergin H., Ecient resource allocation on the basis of priorities. Econometrica 70 (2002), 2489-2497. D. Gale and M. Sotomayor (1985). Some Remarks on the Stable Matching Problem. Discrete Applied Mathematics, 11, 223-232. D. Gale and L. Shapley (1962). College Admissions and the Stability of Marriage. American Mathematical Monthly, 69, 9-15. G. Haeringer and F. Klijn (2009). Constrained School Choice. Journal of Economic Theory, 144, 1921-1947. Kesten, O. (2010). School choice with consent, Quarterly Journal of Economics, 125 (3): 1297-1348. R. Martínez, J. Massó, A. Neme and J. Oviedo (2000). Single Agents and the Set of Many-to-One Stable Matchings. Journal of Economic Theory, 91, 91-105. R. Martínez, J. Massó, A. Neme and J. Oviedo (2001). On the Lattice Structure of the Set of Stable Matchings for a Many-to-One Model. Optimization, 50, 439-457. T. Sönmez and M.U. Ünver (2009). Matching, Allocation, and Exchange of Discrete Resources, Jess Benhabib, Alberto Bisin, and Matthew Jackson (eds.) Handbook of Social Economics, Elsevier, forthcoming. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/28831 |
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