Re: Heads Up Game Theory exercise
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I nearly agree with this answer.
This is a jam/fold problem with smallblind=1 bigblind=2.
With stacksize=6 (SB can raise to 3x BB) I get a solution of
SB:
1..16 jam
17 mixed
18..59 fold
60..100 jam
BB:
1..62 fold
63 mixed
64..100 call
Marv
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Marv,
Assuming the mixed is 50%/50% jam/fold I don't think is correct.
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No, by mixed I did not mean exactly 50%/50% .
Marv
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The master of being vague.
Rather than tell me what you didn't mean, couldn't you have included what you did mean.
Mixed doesn't always mean 50%/50%, but what does it mean to you in this situation?
I can't see any mixed percentages for 17 that work with this strategy.
SB:
1..16 jam
17 mixed
18..59 fold
60..100 jam
The reason I assumed you meant 50%/50% is because if your strategy is only mixed for one #, then it has to be 50%/50% for this "game".
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OK, with %ages (and hopefully no transcription errors on my part this time)
SB:
1..16 jam
17 mixed: p(jam) = 0.5
18..60 fold
61..100 jam
BB:
1..62 fold
63 mixed: p(call) = 0.125
64..100 call
I get the value of the game as -0.157121 .
Marv
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Ok you changed 60 from jam to fold. With that, we agree.
Your EV is in terms of $ with an assumed $2 big blind.
We agree on the EV as well, since my EV was +0.078560 big blinds per hand
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