Classic Type Game Theory Problem

[Xhad]

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So are you saying that player B should always draw when his hand is between 0.5 and 0.586 and player A stands?

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It seems he should. In fact according to my math, B should never stay pat on a hand less than 2 - sqrt(2) unless he knows that A is playing incorrectly.

The reason is that the only potential "bluffing" situations are those in which b > .5, but a + b > 1 (any time one of the above is not true, A should not stand pat even if B will draw 100% of the time because A has a better chance of winning if he simply draws himself). But for all hands from .5 to 2 - sqrt (2), even if A is bluffing at EVERY SINGLE OPPORTUNITY B still has to draw out of respect for the number of legitimate hands A could be standing pat with.