Alcalde, Jose and Romero-Medina, Antonio (2011): Re-Reforming the Bostonian System: A Novel Approach to the Schooling Problem.
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This paper proposes the notion of E-stability to conciliate Pareto efficiency and fairness. We propose the use of a centralized procedure, the Exchanging Places Mechanism. It endows students a position according with the Gale and Shapley students optimal stable matching as tentative allocation and allows the student to trade their positions. We show that the final allocation is E-stable, i.e. efficient, fair and immune to any justifiable objection that students can formulate.
|Item Type:||MPRA Paper|
|Original Title:||Re-Reforming the Bostonian System: A Novel Approach to the Schooling Problem|
|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
|Depositing User:||Jose Alcalde|
|Date Deposited:||23. Jan 2011 13:51|
|Last Modified:||19. Feb 2013 23:36|
Abdulkadiroglu, Atila, Parag A. Pathak and Alvin E. Roth (2009): "Strategy-Proofness versus Efficiency in Matching with Indiferences: Redesigning the NYC High School Match," American Economic Review 99, 1954-1978.
Abdulkadiroglu, Atila, Parag A. Pathak, Alvin E. Roth and Tayfunn Sönmez (2005): "The Boston Public School Match," American Economic Review, Papers and Proceedings 95, 368-371.
Abdulkadiroglu, Atila, Parag A. Pathak, Alvin E. Roth and Tayfunn Sönmez (2006): "Changing the Boston School Choice Mechanism: Strategy-Proofness as Equal Access." Mimeographed. Harvard University.
Abdulkadiroglu, Atila and Tayfunn S�onmez (2003): "School Choice: A Mechanism Design Approach," American Economic Review 93, 729-747.
Alcalde, José (1995): "Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets," Economic Design 1, 275-287.
Alcalde, José (1996): "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory 69, 240-254.
Alcalde-Unzu, Jorge and Elena Molis (2009): "Exchange of Indivisible Goods and Indierences: The Top Trading Absorbing Sets Mechanisms" ECORE Discussion Paper 2009/62.
Aumann, Robert J. amd Michael Bahir Maschler (1964): "The Bargaining Set of Cooperative Games," in: Dresher, M., Shapley, L.S., Tucker, A. (Eds.), Advances in Game Theory, Annals of Mathematics Study 52. Princeton University Press, Princeton, pp. 443-476.
Balinski, Michel and Tayfunn S�onmez (1999): "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory 84, 73-94.
Erdil, Aytek and Haluk Ergin (2008): "What's the Matter with tie-Breaking? Improving Efficiency in School Choice," American Economic Review 98, 669-689.
Ergin, Haluk and Tayfunn S�onmez (2006): "Games of School Choice under the Boston Mechanism," Journal of Public Economics 90, 215-237.
Gale, David and Lloyd S. Shapley (1962): "College Admissions and the Stability of Marriage," American Mathematical Monthly 69, 9-15.
Haeringer, Guillaume and Flip Klijn (2009): "Constrained School Choice," Journal of Economic Theory 144, 1921-1947.
Kesten, Onur (2010): "School Choice with Consent," Quarterly Journal of Economics 125, 1297-1348.
Martínez, Ruth, Jordi Massó, Alejandro Neme, and Jorge Oviedo (2001): "On the Lattice Structure of the Set of Stable Matchings for a Many-to-One Model," Optimization 50, 439-457.
Roth, Alvi E. (1982): "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research 7, 617-628.
Shapley, Lloyd S. and Herbert Scarf (1974): "On Cores and Indivisibility," Journal of Mathematical Economics 1, 23-37.