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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