Game Theory: Unusual Question #3 and #4

[alThor]

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I get that B should bet his best 1/6 hands, bluff his worst 1/18, and A should call with his best 1/3.

I may have made an arithmetic mistake, but the value of the game for B is 5/18=.278

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Damn, you just beat me to it. I verify your algebra.

B raises with [5/6,1], calls with [.5,2/3], (bluff) raises with 1/18 of his hands below .5 (you used [0,1/18], though you could use others), and fold the rest. Value to B is 5/18.

The second question looks a little more tedious!

al'Thor