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A dynamic school choice model

Author

Listed:
  • 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
    as

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    File URL: https://cee.colmex.mx/dts/2011/DT-2011-5.pdf
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    References listed on IDEAS

    as
    1. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    2. Roth, Alvin E., 1989. "Two-sided matching with incomplete information about others' preferences," Games and Economic Behavior, Elsevier, vol. 1(2), pages 191-209, June.
    3. Chakraborty, Archishman & Citanna, Alessandro & Ostrovsky, Michael, 2010. "Two-sided matching with interdependent values," Journal of Economic Theory, Elsevier, vol. 145(1), pages 85-105, January.
    4. Francis Bloch & David Cantala, 2013. "Markovian assignment rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 1-25, January.
    5. Kurino, M., 2011. "House allocation with overlapping generations," Research Memorandum 032, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    7. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
    8. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    9. M. Utku Ünver, 2010. "Dynamic Kidney Exchange," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 372-414.
    10. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
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    More about this item

    Keywords

    school choice; overlapping agents; dynamic matching; deferred acceptance algorithm;
    All these keywords.

    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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