Strategy-proofness and stability of the Boston mechanism: An almost impossibility result
AbstractPublic school systems generally use one of the three competing mechanisms – the Boston mechanism, the deferred acceptance mechanism and the top trading cycle mechanism – for assigning students to specific schools. Although the literature generally claims that the Boston mechanism is Pareto efficient but neither stable nor strategy-proof, this study delineates a subset of school priority structures for which it fulfills all three criteria. We show that the Boston mechanism is stable if and only if it is strategy-proof if and only if the priority structure is strongly acyclic. However, we find that the condition of strong acyclicity is nearly impossible to satisfy: any priority structure is quasi-cyclic whenever there are two schools whose admission quotas are less than the number of students seeking admission.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Public Economics.
Volume (Year): 105 (2013)
Issue (Month): C ()
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Web page: http://www.elsevier.com/locate/inca/505578
Boston mechanism; Stability; Strategy-proofness; Quasi-cyclicity; Strong acyclicity;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
- J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations
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