IDEAS home Printed from https://ideas.repec.org/p/osf/osfxxx/dmgtp.html
   My bibliography  Save this paper

A Bridge from Monty Hall to the Hot Hand: Restricted Choice, Selection Bias, and Empirical Practice

Author

Listed:
  • Miller, Joshua Benjamin

    (The University of Melbourne)

  • Sanjurjo, Adam

Abstract

We show how classic conditional probability puzzles, such as the Monty Hall problem, are intimately related to the 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 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

  • Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "A Bridge from Monty Hall to the Hot Hand: Restricted Choice, Selection Bias, and Empirical Practice," OSF Preprints dmgtp, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:dmgtp
    DOI: 10.31219/osf.io/dmgtp
    as

    Download full text from publisher

    File URL: https://osf.io/download/5bd89d5a61d93a001a6b5229/
    Download Restriction: no
    File URL: https://libkey.io/10.31219/osf.io/dmgtp?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. M. Keith Chen, 2008. "Rationalization and Cognitive Dissonance: Do Choices Affect or Reflect Preferences?," Levine's Working Paper Archive 122247000000002336, David K. Levine.
    2. 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.
    3. Rachel Croson & James Sundali, 2005. "The Gambler’s Fallacy and the Hot Hand: Empirical Data from Casinos," Journal of Risk and Uncertainty, Springer, vol. 30(3), pages 195-209, May.
    4. Slembeck, Tilman & Tyran, Jean-Robert, 2004. "Do institutions promote rationality?: An experimental study of the three-door anomaly," Journal of Economic Behavior & Organization, Elsevier, vol. 54(3), pages 337-350, July.
    5. Barberis, Nicholas & Thaler, Richard, 2003. "A survey of behavioral finance," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 18, pages 1053-1128, Elsevier.
    6. Sigrid Suetens & Claus B. Galbo-Jørgensen & Jean-Robert Tyran, 2016. "Predicting Lotto Numbers: A Natural Experiment On The Gambler'S Fallacy And The Hot-Hand Fallacy," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 584-607, June.
    7. Rodney J. Paul & Andrew P. Weinbach, 2005. "Bettor Misperceptions in the NBA," Journal of Sports Economics, , vol. 6(4), pages 390-400, November.
    8. Ernst Fehr & Jean-Robert Tyran, 2005. "Individual Irrationality and Aggregate Outcomes," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 43-66, Fall.
    9. Brown, William O & Sauer, Raymond D, 1993. "Does the Basketball Market Believe in the Hot Hand? Comment," American Economic Review, American Economic Association, vol. 83(5), pages 1377-1386, December.
    10. repec:bla:jfinan:v:59:y:2004:i:3:p:969-998 is not listed on IDEAS
    11. 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.
    12. Sridhar Narayanan & Puneet Manchanda, 2012. "An empirical analysis of individual level casino gambling behavior," Quantitative Marketing and Economics (QME), Springer, vol. 10(1), pages 27-62, March.
    13. De Long, J Bradford & Shleifer, Andrei & Summers, Lawrence H & Waldmann, Robert J, 1991. "The Survival of Noise Traders in Financial Markets," The Journal of Business, University of Chicago Press, vol. 64(1), pages 1-19, January.
    14. Sigrid Suetens & Claus B. Galbo-Jørgensen & Jean-Robert Tyran, 2016. "Predicting Lotto Numbers: A Natural Experiment On The Gambler'S Fallacy And The Hot-Hand Fallacy," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 584-607, June.
    15. Camerer, Colin F, 1989. "Does the Basketball Market Believe in the 'Hot Hand'?," American Economic Review, American Economic Association, vol. 79(5), pages 1257-1261, December.
    16. Yuan, Jia & Sun, Guang-Zhen & Siu, Ricardo, 2014. "The lure of illusory luck: How much are people willing to pay for random shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 269-280.
    17. Roger K. Loh & Mitch Warachka, 2012. "Streaks in Earnings Surprises and the Cross-Section of Stock Returns," Management Science, INFORMS, vol. 58(7), pages 1305-1321, July.
    18. Jonathan Guryan & Melissa S. Kearney, 2008. "Gambling at Lucky Stores: Empirical Evidence from State Lottery Sales," American Economic Review, American Economic Association, vol. 98(1), pages 458-473, March.
    19. De Bondt, Werner P. M., 1993. "Betting on trends: Intuitive forecasts of financial risk and return," International Journal of Forecasting, Elsevier, vol. 9(3), pages 355-371, November.
    20. Jeremy Arkes, 2011. "Do Gamblers Correctly Price Momentum In Nba Betting Markets?," Journal of Prediction Markets, University of Buckingham Press, vol. 5(1), pages 31-50.
    21. Avery, Christopher & Chevalier, Judith, 1999. "Identifying Investor Sentiment from Price Paths: The Case of Football Betting," The Journal of Business, University of Chicago Press, vol. 72(4), pages 493-521, October.
    22. Gregory R. Durham & Michael G. Hertzel & J. Spencer Martin, 2005. "The Market Impact of Trends and Sequences in Performance: New Evidence," Journal of Finance, American Finance Association, vol. 60(5), pages 2551-2569, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Joshua B. Miller & Adam Sanjurjo, 2019. "Surprised by the Hot Hand Fallacy? A Truth in the Law of Small Numbers," Papers 1902.01265, arXiv.org.
    2. Miller, Joshua B. & Sanjurjo, Adam, 2021. "Is it a fallacy to believe in the hot hand in the NBA three-point contest?," European Economic Review, Elsevier, vol. 138(C).
    3. Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "A Visible (Hot) Hand? Expert Players Bet on the Hot Hand and Win," OSF Preprints sd32u, Center for Open Science.
    4. Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "Is it a Fallacy to Believe in the Hot Hand in the NBA Three-Point Contest?," OSF Preprints dmksp, Center for Open Science.
    5. Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "A Cold Shower for the Hot Hand Fallacy: Robust Evidence that Belief in the Hot Hand is Justified," OSF Preprints pj79r, Center for Open Science.
    6. Joshua B. Miller & Adam Sanjurjo, 2015. "Surprised by the Gambler’s and Hot Hand Fallacies? A Truth in the Law of Small Numbers," Working Papers 552, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    7. Joshua B. Miller & Adam Sanjurjo, 2015. "Is it a Fallacy to Believe in the Hot Hand in the NBA Three-Point Contest?," Working Papers 548, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    8. Joshua B. Miller & Adam Sanjurjo, 2018. "Surprised by the Hot Hand Fallacy? A Truth in the Law of Small Numbers," Econometrica, Econometric Society, vol. 86(6), pages 2019-2047, November.
    9. Joshua B. Miller & Adam Sanjurjo, 2014. "A Cold Shower for the Hot Hand Fallacy," Working Papers 518, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    10. Robin Maximilian Stetzka & Stefan Winter, 2023. "How rational is gambling?," Journal of Economic Surveys, Wiley Blackwell, vol. 37(4), pages 1432-1488, September.
    11. Daniel J. Benjamin, 2018. "Errors in Probabilistic Reasoning and Judgment Biases," NBER Working Papers 25200, National Bureau of Economic Research, Inc.
    12. Angie Andrikogiannopoulou & Filippos Papakonstantinou, 2018. "Individual Reaction to Past Performance Sequences: Evidence from a Real Marketplace," Management Science, INFORMS, vol. 64(4), pages 1957-1973, April.
    13. Qingxia Kong & Georg D. Granic & Nicolas S. Lambert & Chung Piaw Teo, 2020. "Judgment Error in Lottery Play: When the Hot Hand Meets the Gambler’s Fallacy," Management Science, INFORMS, vol. 66(2), pages 844-862, February.
    14. Pelster, Matthias, 2020. "The gambler’s and hot-hand fallacies: Empirical evidence from trading data," Economics Letters, Elsevier, vol. 187(C).
    15. Ala Avoyan & Robizon Khubulashvili & Giorgi Mekerishvili, 2020. "Call It a Day: History Dependent Stopping Behavior," CESifo Working Paper Series 8603, CESifo.
    16. Andrikogiannopoulou, Angie & Papakonstantinou, Filippos, 2017. "Individual reaction to past performance sequences: evidence from a real marketplace," LSE Research Online Documents on Economics 87997, London School of Economics and Political Science, LSE Library.
    17. Greg Durham & Tod Perry, 2008. "The Impact of Sentiment on Point Spreads in the College Football Wagering Market," Journal of Prediction Markets, University of Buckingham Press, vol. 2(1), pages 1-27, May.
    18. Michael Sinkey & Trevon Logan, 2014. "Does the Hot Hand Drive the Market? Evidence from College Football Betting Markets," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 40(4), pages 583-603, September.
    19. Dolgikh, Sofiia, 2019. "The influence of subjective beliefs in luck on the decision-making under risk: TV show analysis," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 56, pages 74-98.
    20. Arne Feddersen & Brad R. Humphreys & Brian P. Soebbing, 2018. "Sentiment Bias in National Basketball Association Betting," Journal of Sports Economics, , vol. 19(4), pages 455-472, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:osf:osfxxx:dmgtp. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: OSF (email available below). General contact details of provider: https://osf.io/preprints/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.