In formula, the winner(s) is who writes the number closest to:

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Beauty contest

You are kindly asked to write, on the other sheet that you received, an integer number between 1 and 100 (extremes included). I invite you not to discuss among you the choice that you are going to make.

The possible outcomes of this game are: win or lose. It may happen that there is more than one winner. In such a case, winners will share the satisfaction they get from winning...

Who wins? The sheets will be collected, it will be calculated the resulting average number and who will get closest to 2 /3 of this value wins.

In formula, the winner(s) is who writes the number closest to:

2 3 ·

i=1

k

n

Here, n is the number of players and k

is the number written by player i

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