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Old 09-10-2007, 01:19 PM
marv marv is offline
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Join Date: Aug 2004
Posts: 107
Default Re: Why Position Matters Using Game Theory

[ QUOTE ]
Marv,

try

SB
[0,0.1] bet
[0.1,0.3] check-fold
[0.3,0.4] check-call
[0.4,0.6] check-fold
[0.6,0.8] check-call
[0.8,1.0] bet

vs

BB
if SB Bets
[0,1/10] fold
[1/10,1] Call
if SB Checks
[0,17/30] Check
[17/30,1] Bet

I'm thinking the EV for SB will be -0.49

[/ QUOTE ]

I get about -0.044 for this pair.

To Jay. If we can't agree on the EV of one strategy vs another we have no hope of solving these problems.

Read the Mathematics of Poker for one way to get exact solutions to [0,1] games. This is old, old stuff, and I'm sure someone will use the method described in that book to produce the correct answer at some point.

My techniques don't apply to the continuous [0,1] game but can handle more general discrete games, so I'm not trying to solve your problem, I'm just trying to show you that your own approach is giving completely rubbish answers. If this is not helpful I'll just stop and let you be.

Marv
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