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Matching in the large: An experimental study

Author

Listed:
  • Yan Chen

    (School of Information, University of Michigan - University of Michigan [Ann Arbor] - University of Michigan System, School of Economics and Management, Tsinghua University)

  • Min Jiang

    (Antai College of Economics and Management, Shanghai Jiao Tong University)

  • Onur Kesten

    (Carnegie Mellon Tepper School of Business - CMU - Carnegie Mellon University [Pittsburgh])

  • Stéphane Robin

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

  • Min Zhu

    (BNU - Beijing Normal University)

Abstract

We compare the performance of the Boston Immediate Acceptance (IA) and Gale–Shapley Deferred Acceptance (DA) mechanisms in a laboratory setting where we increase the number of participants per match. In our experiment, we first increase the number of students per match from 4 to 40; when we do so, participant truth-telling increases under DA but decreases under IA, leading to a decrease in efficiency under both mechanisms. Furthermore, we find that DA remains more stable than IA, regardless of scale. We then further increase the number of participants per match to 4,000 through the introduction of robots. When robots report their preferences truthfully, we find that scale has no effect on human best response behavior. By contrast, when we program the robots to draw their strategies from the distribution of empirical human strategies, we find that our increase in scale increases human ex-post best responses under both mechanisms.

Suggested Citation

  • Yan Chen & Min Jiang & Onur Kesten & Stéphane Robin & Min Zhu, 2018. "Matching in the large: An experimental study," Post-Print hal-01823548, HAL.
    • Handle: RePEc:hal:journl:hal-01823548
    DOI: 10.1016/j.geb.2018.04.004
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    11. Hakimov, Rustamdjan & Kübler, Dorothea, 2019. "Experiments On Matching Markets: A Survey," Rationality and Competition Discussion Paper Series 153, CRC TRR 190 Rationality and Competition.
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    More about this item

    Keywords

    Matching; School choice; Experiment; Scale;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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