My solution to #4, the [0,1]-game with live blind.
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Two players, A and B receive one card with a real number between zero and one. High card wins. Player A bets one dollar in the blind. Player B can fold, call, or raise one dollar. If he raises, A can call or fold only. [...]
The second version of this question makes A's blind live. So if B just calls, A can raise if he chooses. Game over.
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Here's what I found:
Player A
[0,1/12] : raise
[1/12,3/4] : check
[3/4,1] : raise, when called
[0,2/3] : fold
[2/3,1] : call, when raised
Player B
[0,19/36] : raise
[19/36,7/12] : check
[7/12,2/3] : call, fold when raised
[2/3,3/4] : call, call when raised
[3/4,1] : raise
With this, the value of the game for player B is 17/72
Could you please check this solution?
Next Time.
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