Re: Whats in a Range
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Remember that the game theory goal when you randomize is to create a future situation in which an observant opponent will get your hand range wrong. An observant but not-too-sophisticated opponent may only remember that you checkraised a set 1 in 3 times, which is enough to confuse him when you get in a hand with him where you may or may not have a set. The better your opponents are at remembering details, the more likely it is they will properly evaluate the reasons you made certain plays in the past (that is, the less random your play will look to them). They will more accurately evaluate your hand range in a given situation b/c they understand better which pieces of other plays were related to your play in the current hand. Against the best of these, you do need 'pure' randomization to achieve the game-theoretic goal of masking your range. But bear in mind that the goal is to mask your range, not to be random for the sake of being random.
Finally, even though masking your range is a goal, it is not the only goal. You have to make decisions one at a time, and masking your range for the future by doing something other than what you expect to earn the greatest profit in a particular hand is only worthwile if you can expect to get back that profit and then some later. This is why people often focus on randomizing between options that have roughly equivalent EV.
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i believe MLG's logic implies that one can forget about future hands. there will be a correct decision for the situation, taking into consideration your oponents and the past hands you have played with them. setting yourself up for some type of future hand implies you can't just adjust to the way you played the last hand. the adjustments you can make give you the edge when you realize that you can maximize your oponents missread on your range by just rememebring what you have done, and counter analizing instead of premeptively mading a worse choice to gain confusion later.
the problem with the theory we are going into is that each situation is unique... we are trying to do the impossible... make decisions that only come up one in a million hands (yes sometimes you guys can be that specific), with the EV of if you had played this hand time and time again.
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