Theoretical Heads Up Limit Holdem Questiom

[David Sklansky]

The game is 100-200 with the live big blind on the button. Opposite from normal. If the small blind completes to 100 instead of folding or raisng, the button can make it 200. No limit on raises which are in increments of 100 on the flop and preflop and 200 thereafter.

In an earlier thread it was shown that the small blind of 50 has a slight edge when there is no post flop betting and only one raise allowed. But the edge obviously switches when that isn't true.

So how small would the small blind have to be to make this an even game playing limit Holdem?

[Jerrod Ankenman]

[ QUOTE ]
The game is 100-200 with the live big blind on the button. Opposite from normal. If the small blind completes to 100 instead of folding or raisng, the button can make it 200. No limit on raises which are in increments of 100 on the flop and preflop and 200 thereafter.

In an earlier thread it was shown that the small blind of 50 has a slight edge when there is no post flop betting and only one raise allowed. But the edge obviously switches when that isn't true.

So how small would the small blind have to be to make this an even game playing limit Holdem?

[/ QUOTE ]

Roughly $45.

There's empirical data available on this because this is how Stars used to be.

[*TT*]

The real question is - how do we calculate this without empirical results?

[David Sklansky]

Also, how would the answer change for Triple Draw.

[Jerrod Ankenman]

[ QUOTE ]
The real question is - how do we calculate this without empirical results?

[/ QUOTE ]

Easy, take the optimal strategies for both sides for games for all blind levels from like 0 to 50, play them against each other and find the EV for the small blind in each case, zeroing in on a zero EV for the small blind.

:P

I dunno about triple draw - havent done much work on that game, nor gathered hand histories.

[*TT*]

[ QUOTE ]
Also, how would the answer change for Triple Draw.

[/ QUOTE ]

You made me crack up when i read that, I literally LOL'ed. Way to put me to the test [img]/images/graemlins/wink.gif[/img]

I previously postulated that when two hands are roughly equal on the final draw in 2-7 the button is worth roughly 1.5BB if I remember correctly. This is again primarily from empirical evidence, I have to consult with a statistician friend anytime I want to further my mathematical research on this game (or wait until Mark Gritter beats me to the punch) - yet another reason why I hope you choose to write your remedial mathematics book. I'll be thinking about this challenge all weekend for sure.

I briefly discussed this with Death Donkey who replied "smaller" - which is of course the most logical answer, but lets see if we can define this a bit further.