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A dynamic school choice model

Author

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  • Juan Sebastián Pereyra

    () (El Colegio de México)

Abstract

This paper considers a real-life assignment problem faced by the Mexican Ministry of Public Education. Inspired by this situation, we introduce a dynamic school choice problem that consists in assigning positions to overlapping generations of teachers. From one period to another, agents are allowed either to retain their current position or to choose a preferred one. In this framework, a solution concept that conciliates the fairness criteria with the individual rationality condition is introduced. It is then proved that a fair matching always exists and that it can be reached by a modified version of the deferred acceptance algorithm of Gale and Shapley. We also show that the mechanism is dynamic strategy-proof, and respects improvements whenever the set of orders is lexicographic by tenure.

Suggested Citation

  • Juan Sebastián Pereyra, 2011. "A dynamic school choice model," Serie documentos de trabajo del Centro de Estudios Económicos 2011-05, El Colegio de México, Centro de Estudios Económicos.
  • Handle: RePEc:emx:ceedoc:2011-05
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    File URL: http://cee.colmex.mx/documentos/documentos-de-trabajo/2011/dt20115.pdf
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    More about this item

    Keywords

    school choice; overlapping agents; dynamic matching; deferred acceptance algorithm;

    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
    • I28 - Health, Education, and Welfare - - Education - - - Government Policy

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