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A dynamic school choice model

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  • Pereyra, Juan Sebastián

Abstract

This paper inspires from a real-life assignment problem faced by the Mexican Ministry of Public Education. We introduce a dynamic school choice problem that consists in assigning positions to overlapping generations of teachers. From one period to another, teachers can either retain their current positions or 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 solution 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 dynamically strategy-proof, and respects improvements whenever the set of orders is lexicographic by tenure.

Suggested Citation

  • Pereyra, Juan Sebastián, 2013. "A dynamic school choice model," Games and Economic Behavior, Elsevier, vol. 80(C), pages 100-114.
  • Handle: RePEc:eee:gamebe:v:80:y:2013:i:c:p:100-114
    DOI: 10.1016/j.geb.2013.02.011
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    References listed on IDEAS

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    1. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, Oxford University Press, vol. 119(2), pages 457-488.
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    Citations

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    Cited by:

    1. Monte, Daniel & Tumennasan, Norovsambuu, 2015. "Centralized allocation in multiple markets," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 74-85.
    2. David Cantala & Jaume Sempere, 2015. "Un enfoque de diseño de mercados para la selección de personal del Instituto Nacional Electoral en México," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 30(1), pages 75-92.
    3. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
    4. Kotowski, Maciej H., 2015. "A Note on Stability in One-to-One, Multi-period Matching Markets," Working Paper Series rwp15-042, Harvard University, John F. Kennedy School of Government.
    5. John Kennes & Daniel Monte & Norovsambuu Tumennasan, 2015. "Dynamic Matching Markets and the Deferred Acceptance Mechanism," Economics Working Papers 2015-23, Department of Economics and Business Economics, Aarhus University.
    6. Jonathan M.V. Davis, 2017. "The Short and Long Run Impacts of Centralized Clearinghouses: Evidence from Matching Teach For America Teachers to Schools," 2017 Papers pda791, Job Market Papers.
    7. Fu, Hu & Kleinberg, Robert & Lavi, Ron & Smorodinsky, Rann, 2017. "Job security, stability and production efficiency," Theoretical Economics, Econometric Society, vol. 12(1), January.
    8. Morimitsu Kurino, 2014. "House Allocation with Overlapping Generations," American Economic Journal: Microeconomics, American Economic Association, vol. 6(1), pages 258-289, February.
    9. Carlsson, Sissa & Thomsen, Stephan L., 2015. "Improving the Allocation of Spots in Child Care Facilities for Toddlers in Germany: A Mechanism Design Approach," IZA Discussion Papers 8976, Institute for the Study of Labor (IZA).

    More about this item

    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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