This question is only tangentially related to quantitative finance. Scott Patterson's book The Quants describes how a quant at Kidder Peabody figured out a strategy to playing Liar's Poker in the late 80s. This strategy spread among quants at investment banks and led to it not being played any more.
Here is a simple description of the basics of the game for those not familiar: http://www.investopedia.com/terms/l/liars-poker.asp#axzz27gZIYnwx
The strategy described in Patterson's book was more or less to use the information from your own bill to have more confidence in making large bets. For instance, if you have two 3s on your bill when the previous bid was four 9s, then rather than bid five 3s you should bid 10 or more 3s (when there were 10 players). How much you should increase your bet in the strategy was likely based on Bayesian reasoning, though the book does not go into that much detail.
Is this really the best strategy or only the best strategy under some conditions?