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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Tversky and Kahneman<ref group="Notes" >K. McKean, “Decisions, Decisions,” pp. 22--31.</ref> asked a group of subjects to carry out the following task. They are told that: <blockquote> Linda is 31, single, outspoken, and very bright. She maj...")
 
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<div class="d-none"><math>
Tversky and Kahneman<ref group="Notes" >K. McKean, “Decisions, Decisions,” pp. 22--31.</ref> asked a group of subjects to carry out the
\newcommand{\NA}{{\rm NA}}
\newcommand{\mat}[1]{{\bf#1}}
\newcommand{\exref}[1]{\ref{##1}}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}</math></div> Tversky and Kahneman<ref group="Notes" >K. McKean, “Decisions,
Decisions,” pp. 22--31.</ref> asked a group of subjects to carry out the
following
following
task.  They are told that:
task.  They are told that:
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</blockquote>
</blockquote>
The subjects are then asked to rank the likelihood of various alternatives,
The subjects are then asked to rank the likelihood of various alternatives,
such as:\hfill\break
such as:
\indent(1)  Linda is active in the feminist movement.\hfill\break
#Linda is active in the feminist movement.
\indent(2)  Linda is a bank teller.\hfill\break
#Linda is a bank teller.
\indent(3)  Linda is a bank teller and active in the feminist
#Linda is a bank teller and active in the feminist movement.
movement.\hfill\break
 
Tversky and Kahneman found that  
Tversky and Kahneman found that between 85 and 90 percent of the subjects rated
between 85 and 90 percent of the subjects rated
alternative (1) most likely, but alternative (3) more likely than alternative
alternative (1) most likely, but alternative (3) more likely than alternative
(2).  Is it?  They call this phenomenon the ''conjunction fallacy,'' and
(2).  Is it?  They call this phenomenon the ''conjunction fallacy,'' and

Latest revision as of 21:11, 12 June 2024

Tversky and Kahneman[Notes 1] asked a group of subjects to carry out the following task. They are told that:

Linda is 31, single, outspoken, and very bright. She majored in philosophy in college. As a student, she was deeply concerned with racial discrimination and other social issues, and participated in anti-nuclear demonstrations.

The subjects are then asked to rank the likelihood of various alternatives, such as:

  1. Linda is active in the feminist movement.
  2. Linda is a bank teller.
  3. Linda is a bank teller and active in the feminist movement.

Tversky and Kahneman found that between 85 and 90 percent of the subjects rated alternative (1) most likely, but alternative (3) more likely than alternative (2). Is it? They call this phenomenon the conjunction fallacy, and note that it appears to be unaffected by prior training in probability or statistics. Is this phenomenon a fallacy? If so, why? Can you give a possible explanation for the subjects' choices?

Notes

  1. K. McKean, “Decisions, Decisions,” pp. 22--31.