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A dynamic school choice model


  • Juan Sebastián Pereyra

    () (El Colegio de México)


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.

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  • 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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    References listed on IDEAS

    1. Mariano Bosch & Marco Manacorda, 2010. "Minimum Wages and Earnings Inequality in Urban Mexico," American Economic Journal: Applied Economics, American Economic Association, vol. 2(4), pages 128-149, October.
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    4. Iulie Aslaksen & Tom Wennemo & Rolf Aaberge, 2005. "'Birds of a Feather Flock Together': The Impact of Choice of Spouse on Family Labor Income Inequality," LABOUR, CEIS, vol. 19(3), pages 491-515, September.
    5. David Johnson & Roger Wilkins, 2004. "Effects of Changes in Family Composition and Employment Patterns on the Distribution of Income in Australia: 1981-1982 to 1997-1998," The Economic Record, The Economic Society of Australia, vol. 80(249), pages 219-238, June.
    6. Luis F. Lopez-Calva & Nora Lustig, 2009. "The recent decline of inequality in Latin America: Argentina, Brazil, Mexico and Peru," Working Papers 140, ECINEQ, Society for the Study of Economic Inequality.
    7. Esquivel, Gerardo & Rodriguez-Lopez, Jose Antonio, 2003. "Technology, trade, and wage inequality in Mexico before and after NAFTA," Journal of Development Economics, Elsevier, vol. 72(2), pages 543-565, December.
    8. McKenzie, David J., 2003. "How do Households Cope with Aggregate Shocks? Evidence from the Mexican Peso Crisis," World Development, Elsevier, vol. 31(7), pages 1179-1199, July.
    9. Silvia Pasqua, 2008. "Wives' work and income distribution in European countries," European Journal of Comparative Economics, Cattaneo University (LIUC), vol. 5(2), pages 157-186, December.
    10. David Fairris, 2003. "Unions and Wage Inequality in Mexico," ILR Review, Cornell University, ILR School, vol. 56(3), pages 481-497, April.
    11. Raymundo M. Campos-Vázquez, 2013. "Why did wage inequality decrease in Mexico after NAFTA?," Economía Mexicana NUEVA ÉPOCA, , vol. 0(2), pages 245-278, July-Dece.
    12. Mary C. Daly & Robert G. Valletta, 2006. "Inequality and Poverty in United States: The Effects of Rising Dispersion of Men's Earnings and Changing Family Behaviour," Economica, London School of Economics and Political Science, vol. 73(289), pages 75-98, February.
    13. Lopez , J. Humberto & Perry, Guillermo, 2008. "Inequality in Latin America : determinants and consequences," Policy Research Working Paper Series 4504, The World Bank.
    14. José Mata & José A. F. Machado, 2005. "Counterfactual decomposition of changes in wage distributions using quantile regression," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(4), pages 445-465.
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    16. Maria Cancian & Deborah Reed, 1998. "Assessing The Effects Of Wives' Earnings On Family Income Inequality," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 73-79, February.
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    More about this item


    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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