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Static versus Dynamic Deferred Acceptance in School Choice: Theory and Experiment

Listed author(s):
  • Flip Klijn
  • Joana Pais
  • Marc Vorsatz

In the context of school choice, we experimentally study how behavior and outcomes are affected when, instead of submitting rankings in the student proposing or receiving deferred acceptance (DA) mechanism, participants make decisions dynamically, going through the steps of the underlying algorithms. Our main results show that, contrary to theory, (a) in the dynamic student proposing DA mechanism, participants propose to schools respecting the order of their true preferences slightly more often than in its static version while, (b) in the dynamic student receiving DA mechanism, participants react to proposals by always respecting the order and not accepting schools in the tail of their true preferences more often than in the corresponding static version. As a consequence, for most problems we test, no significant differences exist between the two versions of the student proposing DA mechanisms in what stability and average payoffs are concerned, but the dynamic version of the student receiving DA mechanism delivers a clear improvement over its static counterpart in both dimensions. In fact, in the aggregate, the dynamic school proposing DA mechanism is the best performing mechanism.

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Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 926.

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Date of creation: Sep 2016
Handle: RePEc:bge:wpaper:926
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  1. Pais, Joana & Pintér, Ágnes, 2008. "School choice and information: An experimental study on matching mechanisms," Games and Economic Behavior, Elsevier, vol. 64(1), pages 303-328, September.
  2. Caterina Calsamiglia & Guillaume Haeringer & Flip Klijn, 2010. "Constrained School Choice: An Experimental Study," American Economic Review, American Economic Association, vol. 100(4), pages 1860-1874, September.
  3. Klijn, Flip & Pais, Joana & Vorsatz, Marc, 2016. "Affirmative action through minority reserves: An experimental study on school choice," Economics Letters, Elsevier, vol. 139(C), pages 72-75.
  4. Paula Jaramillo & Çaǧatay Kayı & Flip Klijn, 2014. "On the exhaustiveness of truncation and dropping strategies in many-to-many matching markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 793-811, April.
  5. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
  6. Flip Klijn & Joana Pais & Marc Vorsatz, 2013. "Preference intensities and risk aversion in school choice: a laboratory experiment," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 1-22, March.
  7. Roth, Alvin E., 1984. "Misrepresentation and stability in the marriage problem," Journal of Economic Theory, Elsevier, vol. 34(2), pages 383-387, December.
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  9. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.
  10. Haruvy, Ernan & Utku Unver, M., 2007. "Equilibrium selection and the role of information in repeated matching markets," Economics Letters, Elsevier, vol. 94(2), pages 284-289, February.
  11. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
  12. Isa Hafalir & Rustamdjan Hakimov & Dorothea Kubler & Morimitsu Kurino, "undated". "College Admissions with Entrance Exams: Centralized versus Decentralized," GSIA Working Papers 2015-E7, Carnegie Mellon University, Tepper School of Business.
  13. Federico Echenique & Alistair J. Wilson & Leeat Yariv, 2016. "Clearinghouses for two‐sided matching: An experimental study," Quantitative Economics, Econometric Society, vol. 7(2), pages 449-482, 07.
  14. Mongell, Susan & Roth, Alvin E, 1991. "Sorority Rush as a Two-Sided Matching Mechanism," American Economic Review, American Economic Association, vol. 81(3), pages 441-464, June.
  15. Roth, Alvin E & Vande Vate, John H, 1991. "Incentives in Two-Sided Matching with Random Stable Mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 31-44, January.
  16. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
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