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Constrained school choice: an experimental QRE analysis

Author

Listed:
  • Jorge Alcalde-Unzu

    (Public University of Navarre)

  • Flip Klijn

    (Institute for Economic Analysis (CSIC) and Barcelona School of Economics)

  • Marc Vorsatz

    (Universidad Nacional de Educación a Distancia (UNED))

Abstract

The theoretical literature on public school choice proposes centralized mechanisms that assign children to schools on the basis of parents’ preferences and the priorities children have for different schools. The related experimental literature analyzes in detail how various mechanisms fare in terms of welfare and stability of the resulting matchings, yet often provides only aggregate statistics of the individual behavior that leads to these outcomes (i.e., the degree to which subjects tell the truth in the induced simultaneous move game). In this paper, we show that the quantal response equilibrium (QRE) adequately describes individual behavior and the resulting matching in three constrained problems for which the immediate acceptance mechanism and the student-optimal stable mechanism coincide. Specifically, the comparative statics of the logit-QRE with risk-neutral and expected-payoff-maximizing agents capture the directional changes of subject behavior and the prevalence of the different stable matchings when cardinal payoffs (i.e., relative preference intensities) are modified in the experiment.

Suggested Citation

  • Jorge Alcalde-Unzu & Flip Klijn & Marc Vorsatz, 2023. "Constrained school choice: an experimental QRE analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 587-624, October.
    • Handle: RePEc:spr:sochwe:v:61:y:2023:i:3:d:10.1007_s00355-023-01458-2
    DOI: 10.1007/s00355-023-01458-2
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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I20 - Health, Education, and Welfare - - Education - - - General

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