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  #1  
Old 04-29-2006, 07:36 AM
iSTRONG iSTRONG is offline
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Default Battle of the blinds: a game theory question

I posted this in mid-stakes but i didn't get a satisfactory answer so i'll try my luck here.

Player A and B are world class players. Player A is SB and player B is BB (assume 100BB stacks). It gets folded to them so it's battle of the blinds. Assume that player B has continually adapted to player A's raising range (in SB vs BB situations) and player A has continually adapted to BB's aggressiveness. This continual adjustment to play optimally vs. the opponent's range should lead to an equilibrium in the hand ranges of both opponents. What is this range?

Another question: Assuming equal skill and the equilibrium stated above, what is the +Ev of each player during the battle of the blinds?
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  #2  
Old 04-29-2006, 08:29 AM
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Default Post deleted by Mat Sklansky

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  #3  
Old 04-29-2006, 08:34 AM
iSTRONG iSTRONG is offline
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Default Re: Battle of the blinds: a game theory question

[ QUOTE ]
anything that looks pretty

[/ QUOTE ]

[img]/images/graemlins/mad.gif[/img]
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  #4  
Old 04-29-2006, 02:09 PM
yvesaint yvesaint is offline
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Default Re: Battle of the blinds: a game theory question

[ QUOTE ]
anything that looks pretty

[/ QUOTE ]
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  #5  
Old 04-29-2006, 04:30 PM
HP HP is offline
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Default Re: Battle of the blinds: a game theory question

So basically you are asking for the perfect solution (Nash Equilibrium) to this?

Sorry don't know
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  #6  
Old 04-29-2006, 05:10 PM
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Default Re: Battle of the blinds: a game theory question

stricly AA
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  #7  
Old 04-29-2006, 05:17 PM
iSTRONG iSTRONG is offline
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Default Re: Battle of the blinds: a game theory question

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  #8  
Old 04-29-2006, 05:25 PM
headturner1 headturner1 is offline
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Default Re: Battle of the blinds: a game theory question

[ QUOTE ]
I posted this in mid-stakes but i didn't get a satisfactory answer so i'll try my luck here.



[/ QUOTE ]

lol. you are off to a good start here bud. [img]/images/graemlins/shocked.gif[/img]
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  #9  
Old 04-29-2006, 05:32 PM
g-p g-p is offline
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Default Re: Battle of the blinds: a game theory question

if they are constantly adapting their ranges, then their current range depends on what each is currently adapted to.
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  #10  
Old 04-29-2006, 05:34 PM
iSTRONG iSTRONG is offline
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Default Re: Battle of the blinds: a game theory question

[ QUOTE ]
if they are constantly adapting their ranges, then their current range depends on what each is currently adapted to.

[/ QUOTE ]

They're adapting to each other. I assume (wrongly?) over a few hundred battle of the blinds situations they will reach a nash equilibrium.
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