Decision-making II judging the likelihood of events

1. Decision-making IIjudging the likelihood of events

2. Heuristics and Biases • Tversky & Kahneman propose that people often do not follow rules of probability • Instead, decision making may be based on heuristics • Lower cognitive load but may lead to systematic errors and biases • Example heuristics • representativeness • availability

3. Tom Cruise Celia Weston Tom Hanks Frances O’Connor Jane Adams Mel Gibson Illeana Douglass Jim Carrey Marg Helgenberger George Clooney Debi Mazar Alyson Hannigan Russell Crowe Harrison Ford Bruce Willis Lindsay Crouse Molly Parker Brad Pitt Memory for Names

4. Availability Heuristic • Definition “A person is said to employ the availability heuristic whenever he estimates frequency or probability by the ease with which instances or associations could be brought to mind”

5. Availability Heuristic • Are there more words in the English language that begin with the letter V or that have V as their third letter? • What about the letter R, K, L, and N? (Tversky & Kahneman, 1973)

6. Which causes more deaths in developed countries? 1. (a) traffic accidents (b) stomach cancer 2. (a) homicide (b) suicide (Kahneman & Tversky, 1974)

7. Results • Typical Guess traffic accident = 4X stomach cancer • Actual 45,000 traffic, 95,000 stomach cancer deaths in US • Ratio of newspaper reports on each subject 137 (traffic fatality) to 1 (stomach cancer death) (Kahneman & Tversky, 1974)

8. (Lichtenstein et al., 1978)

9. Why use the availability heuristic? • Availability is based on fundamental aspect of memory search • Works well under many circumstances • Availability correlates with likelihood of events

10. All the families having exactly six children in a particular city were surveyed. In 72 of the families, the exact order of the births of boys and girls was: G B G B B G What is your estimate of the number of families surveyed in which the exact order of births was: B G B B B B Answer: a) < 72 b) 72 c) >72

11. A coin is flipped. What is a more likely sequence? A) H T H T T H B) H H H H H H A) #H = 3 and #T = 3 (in some order) B) #H = 6 Gambler’s fallacy: wins are perceived to be more likely after a string of losses

12. Representativeness Heuristic • Probability of an event or sample of events is judged by its similarity to the population from which sample is drawn. • The sequence “H T H T T H” is seen as more representative of or similar to a prototypical coin sequence

13. Hot Hand Belief in Basketball • Question: • Does a player have a better chance of making a shot after having just made his last two or three shots than he does after having just missed his last two or three shots? • Answers by Cornell and Stanford University Basketball fans • Yes = 91% • No = 9% (Gilovich, Vallone, & Tversky, 1985)

14. Does the “hot hand” phenomenon exist? • Most basketball coaches/players/fans refer to players having a “Hot hand” or being in a “Hot zone” and show “Streaky shooting” • However, making a shot after just making three shots is as likely as after just missing three shots  not much statistical evidence that basketball players switch between a state of “hot hand” and “cold hand” (Gilovich, Vallone, & Tversky, 1985)

15. Some comments by basketball coaches on these statistical studies • “Who is this guy? So he makes a study. I couldn’t care less.” (Celtics owner) • “There are so many variables involved in shooting the basketball that a paper like this really doesn’t mean anything.” (Bob Knight; Hoosiers coach)

16. Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations. Rate the likelihood that the following statements about Linda are true: a) Linda is active in the feminist movement b) Linda is a bank teller c) Linda is a bank teller and is active in the feminist movement Rating C as more likely than B and A is a Conjunction Fallacy

17. What to make of these results? • One interpretation of Tversky & Kahneman’s findings: • people do not use proper probabilistic reasoning • people use arbitrary mechanisms/ heuristics with no apparent rationale • However, Gigerenzer and Todd show in their “Fast and Frugal Heuristics” research program that heuristics can often be very effective

18. Which city has a larger population? • Kansas City (KS) • Junction City (KS)

19. Which city has a larger population? A) San Diego B) San Antonio • 66% accuracy with University of Chicago undergraduates. However, 100% accuracy with German students. • San Diego was recognized as American cities by 78% of German students. San Antonio: 4%  With lack of information, use recognition heuristic (Goldstein & Gigerenzer, 2002)

20. How to pick a stock Problem: what stocks to invest in? Solution 1—“optimizing”: • Gather lots of info about many companies • Process with sophisticated tools and choose Solution 2—the recognition heuristic: • Purchase stocks from recognized companies (slide from Peter Todd)

21. “Paying for the name…….” (slide from Peter Todd)

22. Picking Stocks with Recognition Heuristic Note: this result has not replicated in other studies (e.g., Boyd, 2001; Rakow, 2002) -- don’t rush to use this heuristic on your own money!