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A Bridge from Monty Hall to the Hot Hand: The Principle of Restricted Choice

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  • Joshua B. Miller
  • Adam Sanjurjo

Abstract

We show how classic conditional probability puzzles, such as the Monty Hall problem, are intimately related to the recently discovered hot hand selection bias. We explain the connection by way of the principle of restricted choice, an intuitive inferential rule from the card game bridge, which we show is naturally quantified as the updating factor in the odds form of Bayes's rule. We illustrate how, just as the experimental subject fails to use available information to update correctly when choosing a door in the Monty Hall problem, researchers may neglect analogous information when designing experiments, analyzing data, and interpreting results.

Suggested Citation

  • Joshua B. Miller & Adam Sanjurjo, 2019. "A Bridge from Monty Hall to the Hot Hand: The Principle of Restricted Choice," Journal of Economic Perspectives, American Economic Association, vol. 33(3), pages 144-162, Summer.
    • Handle: RePEc:aea:jecper:v:33:y:2019:i:3:p:144-62
    Note: DOI: 10.1257/jep.33.3.144
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    File URL: https://www.aeaweb.org/doi/10.1257/jep.33.3.144
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    References listed on IDEAS

    as
    1. Matthew Rabin & Dimitri Vayanos, 2010. "The Gambler's and Hot-Hand Fallacies: Theory and Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 730-778.
    2. repec:bla:jfinan:v:59:y:2004:i:3:p:969-998 is not listed on IDEAS
    3. Friedman, Daniel, 1998. "Monty Hall's Three Doors: Construction and Deconstruction of a Choice Anomaly," American Economic Review, American Economic Association, vol. 88(4), pages 933-946, September.
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    Cited by:

    1. Jonathan Libgober, 2021. "Identifying Wisdom (of the Crowd): A Regression Approach," Papers 2105.07097, arXiv.org, revised Apr 2023.
    2. Morgulev, Elia, 2023. "Streakiness is not a theory: On “momentums” (hot hands) and their underlying mechanisms," Journal of Economic Psychology, Elsevier, vol. 96(C).
    3. Sebastian Fehrler & Baiba Renerte & Irenaeus Wolff, 2020. "Beliefs about Others: A Striking Example of Information Neglect," TWI Research Paper Series 118, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    4. Duarte Gonc{c}alves & Jonathan Libgober & Jack Willis, 2021. "Retractions: Updating from Complex Information," Papers 2106.11433, arXiv.org, revised Jun 2024.

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    More about this item

    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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