Improved raising strategy for A in #4
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The answer to the second problem is:
(There are co-optimal solutions, but where possible I present undominated ones)
B:
folds on [0,19/36]
raise-bluffs on [19/36,7/12] *
limp-folds on [7/12,2/3]
limp-calls on [2/3,5/6]
value-raises on [5/6,1]
A:
calls a raise on [2/3,1]
folds to a raise on [0,2/3]
raises after B limps on [3/4,1]
checks after B limps on [1/12,3/4]
raises after B limps on [0,1/12]
The value of the game is 1/4.
To answer David's question, B should just raise the same amount of hands when the A's blind is made live. B, however, doesn't limp with his thinnest value calls, because he'll face a raise sometimes. He just folds them.
Jerrod Ankenman
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Ok, everyone seems to agree that JA's EV for B is actually 17/72. I haven't checked this, but I'll just accept it.
But I think I can improve on A's strategy if B plays that way. Everything is the same except the following:
A bluff-raises on [0,2/9]
A value-raises on [2/3,1]
This dramatically reduces B's EV to 179/1296 if my arithmetic is right.
(17/72 = 306/1296)
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