Balancing Bluffs vs Balancing Strategy

[maddog2030]

Gobgogbog,

Ditto.

leaponthis,

Please stop talking like you know what you're talking about across these forums when it's obvious you don't. And don't try to get all defensive about it. Just do it.

Brandi,

Would you be willing to appear as a guest on Jerry Springer?

[Jerrod Ankenman]

[ QUOTE ]
It's possible no optimal strategy exist from
street to street. Let's start the game from
the turn.
Two person fix limit game. Pot is P after the
flop action. Each bet is 1 unit.
You hold TPTK on the turn.
Opponent checks. You bet. Opp check/raises.
Now your options are fold, call, reraise. If
you reraise, opp has options of fold, call, cap.
Now you have fold and call options.

You---fold----call-----RR-----fold-----call
Opp
fold___-1_____M1____P+2_____xx_____xx
call___xx_____xx_____M2_____xx_____xx
cap___xx_____xx_____xx_____-3_____M3

In matrix M1 the new pot size is P+4.
M2 is P+6. M3 is P+8.

Many of the cells are empty. Other cells
lead to another matrix. The river matrices
must be solved to have values to enter
into those cells. Only then can the
indifferences between line strategies be
solved.
Your linear hand strength will change from
the turn to the river dependent on the river
card. So instead of one M1 matrix, there
may be 46 M1 matrices. This matrix may be
unsolvable. Optimal strategy may not exist.

[/ QUOTE ]

For two-player zero-sum games, optimal strategies always exist. To see this, just specify strategies more robustly, including actions with each hand type in each possible sequence (betting action and cards that have come). Then make a matrix of these strategies. Obviously at least one cell must be the minimax, and therefore optimal.

jerrod

[leaponthis]

[ QUOTE ]
Optimal strategy may not exist.

[/ QUOTE ]

That's like trying to prove that there is no God.

Optimal poker strategey does exist. It is making the "best" decision given the situation in which one finds himself. A Game Theory strategy is not applicable to poker. Therefore no optimal game theory strategy exists or can exist for poker. Using Game Theory as an aid in making some poker decisions is possible and useful when other factors are not able to lead you to a definitive decision.

leaponthis

[leaponthis]

[ QUOTE ]
leaponthis,

Please stop talking like you know what you're talking about across these forums when it's obvious you don't. And don't try to get all defensive about it. Just do it.


[/ QUOTE ]


Well....

[ QUOTE ]
Brandi,

Would you be willing to appear as a guest on Jerry Springer?

[/ QUOTE ]

...I can see that you are someone to be taken seriously...lol.

leaponthis

[leaponthis]

[ QUOTE ]
For two-player zero-sum games, optimal strategies always exist.

[/ QUOTE ]

So, you are saying that there exists an optimal game theory heads-up poker (as played in a casino with multi-street betting) strategy. Well. ok let's see it.

leaponthis

[David Sklansky]

[ QUOTE ]
David,

It bothers me a little when you say "It might be better to play a hand differently almost every time from the way it should be played if it was the last hand of your life. For the sake of future hands. "

Game theoretically you should play the hand unpredictably if it's the last hand of your life as well. The reasoning has nothing to do with future hands.

Is this just an effective way of explaining game theory to people that you use because it's effective even though it isn't correct?

[/ QUOTE ]

It is correct. There is a difference between mixing up your play to optimize the value of that particular hand and mixing up your play to maximize the value of all your hands.

[David Sklansky]

"do you have any advice???"

You need to ask a more specific question.

[leaponthis]

[ QUOTE ]
"do you have any advice???"

You need to ask a more specific question

[/ QUOTE ]

What's the matter don't you know what a vice is? She wants to know if you have any. Sheesh...Gee, come to think of it, it is a funny question from a young sexy female to David, " I hit on young females", Sklansky, Maybe she liiiikkkkees you.

leaponthis

[leaponthis]

[ QUOTE ]
[img]/images/graemlins/heart.gif[/img] [img]/images/graemlins/heart.gif[/img]

[/ QUOTE ]

Brandi, you're a fine girl. What a good wife you would be, but my love and my lady is "green felt".

David Sklansky in care of leaponthis.

[leaponthis]

Please don't haunt me! I complied with your wishes, I ignore you, now please do the same for me and stay out of my posts.

leaponthis