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Thunder, I think this thread has taken a confusing turn. Let me try and conclude/simplify some of what's been said above.
Chopper, the way I understand it, implied odds are not restricted to your all ins, but concern any bet at any time; quite often coming into play if Villain is short stacked. Eg: 400 in pot, Villain bets 200 - giving you 4/ 1 and you need 5/1 to call. However, you see he has just 400 left and are confident that he will bet them off on the next round. Thus your implied odds, calling 200 to win 1200, is 6/1 and thus the correct play.
Yes, this is essentially true, though if you can be pretty much certain the guy is going all in regardless, then you will have to take into account both turn and river odds (since you know you'll be seeing both) rather than just turn odds. Obviously, this pretty much doubles your number of outs, and reduces 6/1 odds to 3/1.
I have to say I find the way you write about poker rather confusing - you are erudite and you can talk about the maths with a good level of understanding, but it's facile to the point of bloody-mindedness to try to discuss pot odds without implied odds being a huge part of the conversation. The only exception is when you are a) in an all-in situation or b) in a tourney situation where the blinds are so big that pretty much any contested hand will lead to an all-in.
In all other situations - early/mid stages of tourneys and, in particular, cash games - implied odds are a vital consideration, not least because most of the biggest pots you'll play will be with sets, boats, straights and flushes (top pair type hands, btw, suffer from reverse implied odds, which basically means that the chance of these hands winning goes down on later streets, rather than going up, hence the need to "protect" such hands by ensuring that drawing hands with good implied odds are not allowed to chase cheaply). So you need to know when you can afford to chase with weak hands with potential and when you can't, and that's all about implied odds, because most decent players will not give you good pot odds to stay in the hand. Semi-bluffing - raising or betting with an unmade or weak drawing hand - also depends heavily on implied odds, which, in combination with fold equity, make these hands +EV when played correctly.
And the confusion is such: if Villain is betting into you, he is bound to continue betting; thus implying better odds. In which case pot odds can blur into implied odds and Hero can ignore the pot odds each time as he envisages further betting. As you can see, this can get Hero into trouble very easily.
Two problems here. First of all, yes, if villain bets into you on the turn after you've made an implied odds-driven call on the flop, you may have to fold; or you may be able to make another implied odds-driven call, depending on stack sizes and your reads on the player, what his range is, and whether he goes too far with marginal hands. But, more importantly, it is ludicrous to assert that a player who bets on the flop and is called will always bet on the turn - there are any number of reasons why they may not bet on the turn, whether it's to slowplay, to control pot size, because they read your flop call as a danger signal, or simply because their flop bet was a bluff or semi-bluff. Sure, some players will always fire a second barrel whether they've hit or not - a vital thing to take notes on - but most, when feeling threatened because they themselves are weak - will more often than not check the turn against an opponent who has cold-called the flop. And this, of course, adds another weapon to your arsenal - if they check the turn then you can take control of the hand and make a bet which they may have no choice but to fold to.
So, ultimately, whether you like it or not you can't ask a question and then ask us to ignore integral and vital parts of any decent answer, because even if we do try to answer the misinformation you'll receive can only have a negative effect on your skillset.
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