Re: My solution
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Justin, B's optimal strategy will be to raise with some of his best hand but also to bluff raise with some bad hands.
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This is incorrect. Let's say he raises all hands .6 (the number is arbitrary) and above, and then bluffs with 10% of his hands. Wouldn't it make more sense to just change that to raise .5 and above instead? Instead of raising 10% of bad hands, just raise the next 10% of hands after the cutoff point.
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If you select just the next 10% of hands, player A can adjust his strategy knowing he needs a little less to call. Using the bottom 10% to bluff is much more effective. When you raise, player A must decide if you are bluffing or not. If you always raise with the top 40% in your example, then 40% of the time you have a strong hand and player A must be even stronger to call. But player A also knows that 10% of the time you raise, he has you beat. Then to call becomes a guessing game for him.
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