Guessing Games

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2014Embargo end date: 01 Jan 2014Publisher:Informa UK LimitedJournal:The American Mathematical Monthly, volume 121, page 33 (issn: 0002-9890,

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Authors: Anthony Mendes; Kent E. Morrison;

doi: 10.4169/amer.math.monthly.121.01.033 , 10.48550/arxiv.1401.2493

arXiv: 1401.2493

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.

12 pages, 3 figures

Related Organizations

American Institute of Mathematics
United States

Keywords

FOS: Computer and information sciences, 91A06 (Primary) 91A60 (Secondary), Computer Science - Computer Science and Game Theory, Probability (math.PR), FOS: Mathematics, Mathematics - Probability, Computer Science and Game Theory (cs.GT)

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