Financial Fallacies Explained: The Hot Hand Fallacy and the Gambler’s Fallacy

Financial Fallacies Explained: The Hot Hand Fallacy and the Gambler’s Fallacy

Time to Read: 5 Min

Vicki Bogan

When watching sports, particularly basketball, it is common to hear announcers and commentators talk about players having a “hot hand.” And sports fans often assume that a particular player having a streak of successful shots has an increased probability of making the next shot, irrespective of the player’s historical shooting percentage. However, studies have shown that a basketball player’s probability of making a shot, conditional on him having made the previous shot, is not generally greater than usual. A paper published in Cognitive Psychology, found that the outcomes of consecutive basketball shots from professional NBA players are independent.1 Further, they even found evidence that consecutive shots from these NBA players are slightly negatively related. When people unjustifiably form expectations about what is going to happen next based upon what has just happened, this is commonly called the hot hand fallacy. Economists refer to this fallacy as extrapolation bias.

Making decisions based only upon recent information compared to all of the available data can often lead investors to think current trends are the best predictors of what will happen next.

Despite evidence against the existence of the hot hand, research has repeatedly shown that individuals can be influenced by extrapolation bias. One study found that casino gamblers bet more after winning than after losing.2 In other words, they bet more after winning because they believed that their chance of winning again was greater than before. Another study showed that basketball betting markets do indeed believe in the hot hand, and that the hot hand fallacy is also at play when people think about buying and selling in financial markets.3

Economists and financial analysts assess financial markets using what economists call “base rate information” — full historical stock market data. Everyday investors do not usually have access to such information, and instead base their judgments about risk and return on “singular information” — data which is more recent or more easily obtained. Making decisions based only upon recent information compared to all of the available data can often lead investors to think current trends are the best predictors of what will happen next.

For example, during a bull market, people will expect stocks to continue to earn high returns. In a bear market, they will think low returns will continue. This is extrapolation bias at work. You have probably experienced this countless times with clients a client calls during a bull market and wants to buy, or they call during a downturn and are anxious to sell. As an advisor, it is important to recognize that extrapolation bias may be driving these clients to request exactly the opposite of what you would advise them to do.

So what should you do as an advisor? With respect to the hot hand fallacy, it is important to get clients to focus on the bigger market picture and not just what has been happening in markets recently. One tip would be to provide clients with a deeper historical perspective, using the base rate data. A few weeks, months, or quarters of statistics and price information may not be sufficient. Providing a fuller picture of the historical value of an asset can be helpful. In addition, reminding clients to plan and schedule rebalancing of their portfolios can also eliminate the opportunity for them want to buy or sell rashly based upon very recent market trends.

Financial advisors are generally not as susceptible to the hot hand fallacy with regard to financial markets. You are trained to monitor markets in order to provide the best possible advice to clients. However, this familiarity with historical market data can lead you to be influenced by another type of bias called the gambler’s fallacy. The gambler’s fallacy is the tendency to overweight the probability of an event because it has not recently occurred. The gambler’s fallacy can lead individuals familiar with base rate market information to view long streaks as being unlikely. You may feel that a recent run-up in the price of a stock is not consistent with the actual historical distribution. Thus, you may be overly prone to predict reversals in stock prices.

Using brain mapping experiments, researchers have found neurological-based evidence of the gambler’s fallacy. One study found that individuals evaluate random events such that they overweight the probability of an event, if it has not recently occurred.4 In field experiments, Croson and Sundali observed that casino roulette wheel gamblers bet in accordance with the gambler’s fallacy.2 For example, if black had not come up in a while on the roulette wheel, bettors would think that black was due to come up and would bet more on black. Making assessments based on a limited sample size like this leads to the gambler’s fallacy. As an advisor, when formulating investment advice, you need to keep the gambler’s fallacy in mind so that you do not predict a trend reversal too quickly.

Both the hot hand fallacy and the gambler’s fallacy belong to a group of biases that economists classify as “representative heuristics.” (Heuristic is a fancy term for rule of thumb.) These heuristics involve making assessments based upon a small number of data points. Assuming that a small sample reflects the full distribution of outcomes in the same way that a large sample does, can lead to mistakes. In general, to avoid making these types of forecasting mistakes, it is important to take into account the size of the sample when drawing conclusions.

Key Takeaways

  • The hot hand fallacy or extrapolation bias is the unwarranted extrapolation of past trends in forming forecasts.
  • The gambler’s fallacy is the tendency to overweight the probability of an event because it has not recently occurred.
  • While clients are often more influenced by the hot hand fallacy, advisors need to be more aware of the gambler’s fallacy and its effects on their advice.
  • With respect to the hot hand fallacy, when advising clients it is important to get them to focus on more complete market data and not just recent market trends.
  • When developing investment advice for a client, keeping the gambler’s fallacy in mind can decrease the tendency to overweight the probability of an event because it has not recently occurred.

1Gilovich, Thomas, Vallone, Robert, & Tversky, Amos. (1985). “The Hot Hand in Basketball: On the Misperception of Random Sequences.” Cognitive Psychology, 17, pp. 295-314.

2Croson, Rachel, & Sundali, James. (2005). “The Gambler’s Fallacy and the Hot Hand: Empirical Data from Casinos” The Journal of Risk and Uncertainty, 30 (3), pp. 195-209.

3Camerer, Colin F. (1989). “Does the Basketball Market Believe in the ‘Hot Hand’?” The American Economic Review, 79 (5), pp. 1257-1261.

4Xue, Gui, Lu, Zhonglin, Levin, Irwin P., & Bechara, Antoine. (2011). “An fMRI Study of Risk-Taking Following Wins and Losses: Implications for the Gambler’s Fallacy?” Human Brain Mapping, 32, pp. 271-281.

Dr. Vicki Bogan

Professor and Director of the Institute for Behavioral and Household Finance (IBHF) at Cornell University

The mission of the IBHF is research and education in the areas of behavioral finance and household finance with the goal of better understanding and modeling financial behavior.

View all articles by Vicki »

The views and opinions expressed herein are those of the author, who is not affiliated with Hartford Funds. The information contained herein should not be construed as investment advice or a recommendation of any product or service nor should it be relied upon to, replace the advice of an investor’s own professional legal, tax and financial advisors. Hartford Funds Distributors, LLC.


Receive human-centric insights by email:

Hartford Funds is not responsible for, and does not validate, any information, opinions, assertions, or statements expressed within these articles, or the identity or credentials of the individuals communicating through the site. Some of the articles may contain links to information created and maintained by other, unaffiliated organizations and individuals. Hartford Funds does not control, cannot guarantee, and is not responsible for the completeness, accuracy, timeliness, or the continued availability or existence of this outside information or the information presented herein. This material is intended for use by financial professionals or in conjunction with the advice of a financial professional.

Check the background of this firm/individual on FINRA's BrokerCheck.


The material on this site is for informational and educational purposes only. The material should not be considered tax or legal advice and is not to be relied on as a forecast. The material is also not a recommendation or advice regarding any particular security, strategy or product. Hartford Funds does not represent that any products or strategies discussed are suitable for any particular investor so investors should seek their own professional advice before investing. Content is current as of the publication date or date indicated, and may be superseded by subsequent market and economic conditions.

All investments are subject to risk, including the possible loss of principal. Investors should carefully consider a fund’s investment objectives, risks, charges and expenses. This and other important information is contained in the mutual fund or ETF prospectus and summary prospectus (if available), which can be obtained from a financial professional and should be read carefully before investing.

Hartford Funds refers to Hartford Funds Management Group, Inc., and its subsidiaries, including the mutual funds' and active ETFs' investment manager, Hartford Funds Management Company, LLC (HFMC), the mutual funds' distributor, Hartford Funds Distributors, LLC (HFD), Member FINRA/SIPC as well as Lattice Strategies LLC (Lattice), a wholly owned subsidiary of HFMC, which serves as the investment adviser to strategic beta exchange-traded funds (ETFs). Certain funds are sub-advised by Wellington Management Company LLP or Schroder Investment Management North America Inc. Schroder Investment Management North America Ltd. serves as a secondary sub-adviser to certain funds. All ETFs are distributed by ALPS Distributors, Inc. (ALPS). Hartford Funds is not affiliated with any fund sub-adviser or ALPS. The funds and other products referred to on this Site may be offered and sold only to persons in the United States and its territories.

© Copyright 2017 Hartford Funds Management Group, Inc. All Rights Reserved. Not FDIC Insured | No Bank Guarantee | May Lose Value