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The 2/3rds Game
In-class survey
Imagine that a newspaper like the New York Times runs a contest. Readers can write in a guess of an integer from 0-100. The editor computes the average of the readers' guesses. The winner is the reader whose guess is closest to 2/3rds of the average.
(i) What number would you guess?
(ii) Now imagine you're playing with people in this class, what number would you guess?
(iii) Imagine you're playing with a group of your friends, what number would you guess?
(iv) Imagine you're playing with with a group of economists, what number would you guess?
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