Minimal consistent enlargements of the immediate acceptance rule and the top trading cycles rule in school choice

Paula Jaramillo

No 12343, Documentos CEDE from Universidad de los Andes, Facultad de Economía, CEDE

Abstract: We consider school choice problems. We are interested in solutions that satisfy consistency. Consider a problem and a recommendation made by the solution for the problem. Suppose some students are removed with their positions in schools. Consider the “reduced” problem consisting of the remaining students and the remaining positions. Consistency states that in the reduced problem, the solution should assign each remaining student to the same school as initially. Neither the immediate acceptance rule (also known as the Boston mechanism) nor the top trading cycles rule is consistent. We show that the efficient solution is the smallest consistent solution containing the immediate acceptance rule. It is also the smallest consistent solution containing the top trading cycles rule.

Keywords: school choice; consistency; Boston mechanism; top trading cycles; minimal consistent enlargement (search for similar items in EconPapers)
JEL-codes: C78 D47 D78 (search for similar items in EconPapers)
Pages: 26
Date: 2014-11-10
New Economics Papers: this item is included in nep-gth
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https://repositorio.uniandes.edu.co/bitstream/handle/1992/8532/dcede2014-45.pdf

Related works:
Journal Article: Minimal consistent enlargements of the immediate acceptance rule and the top trading cycles rule in school choice (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:col:000089:012343

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