Re: My solution
I showed above that for (bad) strategies where B calls with > 1/2 and raises with >b, and A uses optimal response, the value is
"1/4-1/8*(1-b)^2"
This leads to 31/128 (=1/4 - 1/128) for b=3/4. The error you made is that A needs to call with 3/4 (not 2/3) as many hands as B raises getting 3:1 odds. If A calls with (less than optimal) top 1/6 of hands, B's EV is 1/4 -1/144. (the correction is 1/3 of what you computed).
Craig
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