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 Originally Posted by iopq
 Originally Posted by spoonitnow
 Originally Posted by iopq
 Originally Posted by spoonitnow
 Originally Posted by Ragnar4
 Originally Posted by jyms
If a bet is made and a worse hand folds, did it make a sound?
Technically, you always want the worse hands to call, and you always want the hands that are better to fold, but that's more about pot size manipulation isn't it?
No, this is exactly the point. If a bet [or raise] doesn't do one of those two things (get a worse hand to call or a better hand to fold) then it's rather likely that the bet [or raise] shouldn't be made.
That's wrong.
Say I have a worse hand, but I have a flush draw. You shove your TPTK in because the pot is large enough to do that, and I fold. Does that mean you should let me draw for free?
So the third reason is to protect our hand. The fourth reason is for information.
No, " protecting your hand" is just a subcase of getting worse hands to call -- just because the hand is classified as a " draw" doesn't change the simple fact that it has less equity than the aggressor like all other value-betting cases.
A third reason to bet or raise is information, but my understanding is that the number of cases you will run into to utilize this effectively before mid-stakes is very low.
A fourth reason is manipulation. A free card play is a good basic example here.
No, I' m OK with a draw folding because I gain equity when a draw folds correctly, or when a draw calls incorrectly. Obviously, I'd prefer him to call, but I'd take a fold over giving him a free card.
The underlined is simply misinformed: our goal is to maximize value, not equity.
Suppose we bet x amount all-in into pot cx where c is a positive real number. Villain is getting (cx+x): x pot odds, and so he needs an equity of less than x/(cx+2x) for a call to be incorrect. Assume our equity E > 1 - x/(cx+2x), so Villain's options are an incorrect call or a fold.
If Villain folds, we profit cx. Now we show that the value of Villain calling E(cx+x) is always greater:
If Villain calls, we profit:
E(cx+x)
> (1 - x/(cx+2x))(cx+x)
= cx+x - x(cx+x)/(cx+2x)
> cx+x - x*
= cx
* Note: (cx+x)/(cx+2x) < 1 and cx+x is always positive. If you have trouble seeing it, consider W - 0.5x > W - x where W = cx+x.
Therefore having Villain make an incorrect call is always better.
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