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Old 09-07-2007, 05:24 PM
mykey1961 mykey1961 is offline
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Join Date: Oct 2005
Posts: 249
Default 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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