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Journal Article

Guessing Games

Anthony Mendes and Kent E. Morrison
The American Mathematical Monthly
Vol. 121, No. 1 (January 2014), pp. 33-44
DOI: 10.4169/amer.math.monthly.121.01.033
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Page Count: 12
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Guessing Games
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Abstract In a guessing game, players guess the value of a random real number selected using some probability density function. The winner may be determined in various ways; for example, a winner can be a player whose guess is closest in magnitude to the target, or a winner can be a player coming closest without guessing higher than the target. We study optimal strategies for players in these games and determine some of them for two, three, and four players.

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