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

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 rem...

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Autores:
Jaramillo Vidales, Paula
Tipo de recurso:
Work document
Fecha de publicación:
2014
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/8532
Acceso en línea:
http://hdl.handle.net/1992/8532
Palabra clave:
Boston mechanism
Consistency
Minimal consistent enlargement
School choice
Top trading cycles
Elección de escuela - Investigaciones - Modelos econométricos
C78, D47, D78
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary: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.