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Old 09-07-2007, 01:38 PM
mykey1961 mykey1961 is offline
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Join Date: Oct 2005
Posts: 249
Default Re: Heads Up Game Theory exercise

[ QUOTE ]
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

[/ QUOTE ]


Marv,

Assuming the mixed is 50%/50% jam/fold I don't think is correct.

SB:
1..16 jam
17 mixed
18..59 fold
60..100 jam


BB can improve his EV by playing

1..62 fold
63..100 call


BB EV = +0.078914bb's per hand

This seems to be a correct strategy.

SB:
1..15 jam
16 50%/50% jam/fold
17..59 fold
60..100 jam



The error I had in my strategy for SB was not making BB's call / fold decision indifferent for 63.

To do that, I made SB raise 50% with 19 instead of 100%.


SB:
1..18 jam
19 50%/50% jam/fold
20..62 fold
63..100 jam

BB:
1..62 fold
63 12.5%/87.5% call/fold
64..100 call


BB EV = +0.07856BBs per hand

Jay_Shark,

Your strategy for SB

1..43 fold
44..100 jam

allows BB to play

1..62 fold
63..100 call

BB EV = +0.078737BBs per hand

This strategy is a correct one

SB:
1 50%/50% jam/fold
2..44 fold
45..100 jam


Another interesting strategy for the SB


1..19 jam 37/38 and fold 1/38
20..62 fold
63..100 jam


Klyka,

It appears that making the BB indifferent to call vs fold is only important for the times BB has 63.
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