Whats in a Range

[LearnedfromTV]

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Excellent post, Learned. The bit about every hand falling into multiple situation 'boxes' is gold. Only one thing I would quibble with:

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The game theory goal when you randomize is to create a future situation in which an observant opponent will get your hand range wrong.

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I don't think it is just about future situations. If your range in the hand you are currently playing does not differ from the range on which your opponent puts you, then your play is 0 EV at best. The range he assigns you will be dependent on other hands he has seen you play and he knows you have seen him play, and you may want to do something in this hand that will help you create deception about your range in a future situation, but even if you were going to play exactly one hand at this table and against this opponent, there would still need to be a 'gap' between your actual range and the range on which you think Villain will put you.

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I agree with this. I worded that poorly. With that line I was referring to opponents who are not in the current hand but with whom you will be involved in future hands.

Of course the other (related) goal is to create a gap in current hand between perceived and actual range, with perceived range built up from past situations in which you took into account what effect your actions might have on a potential future (now current) hand.

Or more properly, since in the current hand you have a specific hand rather than a range, the goal is to maximize your EV on that specific hand given your opponent's perception of your range and your (we hope more accurate) perception of his.