Re: Improved raising strategy for A in #4
Yes, I can't find any mistakes in your logic there, anyway.
Interesting in your answer, however, is that it would seem that there are lots of co-optimal bluff-raising strategies for A. Hence, neither 1/12 nor 2/9 is any kind of "magic number" for when A would want to bluff-raise. Does that mean that 1/12 is just the minimum amount of bluffing to force B down to 2/3 for the limp-call?
If so, I guess it also means that if A starts bluffing more, B could make even more profit by reducing his calling criteria after the limp.
Anyhow, your comparison looks right to me. Sorry for the unjustified critique! (Please bear with me... you've obviously been playing this game longer than I have...)
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