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Old 02-29-2008, 06:39 PM   #22
The Bryce
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Join Date: Oct 2005
Location: Edmonton
Posts: 4,245
Re: Let's Have a Discussion about Open-Raise Sizes

With exploitative play we can certainly fabricate scenarios, and very real scenarios at that, where a strategy with a smaller opening raise size will be more profitable than raising to a large size. Without getting into outright game theory, however, let's think of this in the context that we're playing against an opponent who isn't a dunce and will play well against both a 3x and 5x raise with stacks of 300bb.

So my point is that I like the idea of increasing your open, as stack sizes in crease (to a cap). But I think it should be more random to make it harder for your opponent to correctly play against you.
Technically, this sort of randomization only means that you're decreasing your raise size some of the time, you're not changing your distribution. You have the same range when you raise to 3x and 6x in your example, so it has no impact on your opponent's ability to assign a value to your hand range (of course, it may confuse him in actuality, but let's say that's a moot point). Randomizing your range is only effective when you're balancing your range in a random manner. For example, if you always wanted to make a larger raise size with aces, but also snuck some trashy hands in there as well. In this scenario your distribution isn't changing.

I don't think this is accurate at all Bryce. If you were minraising on the button as a standard raise, you could easily raise 100% of your buttons (laying 1.5 to win 1.5, it's +EV on its own if villain folds 50% or more, which is fairly common OOP even if it is a minraise).
It's counterintuitive, but it's correct. Whenever you are making a larger raise the GTO strategy will involve you bluffing with a larger range of hands than if you were making a smaller raise. For example, say you were in a particular scenario where you had the nuts 20% of the time and your strategy was to bet half pot, laying your opponent 3:1. The GTO strategy is to bluff 25% of the time that you bet, or 6.6% of the time overall. If you bet pot with the nuts here, laying 2:1 then you'd bluff 33% of the time that you bet, or about 10% of the time overall.

The reason this is counterintuitive to most, I imagine, is that it seems like by wagering less chips you can afford to play more hands, as you'll lose less with your poor hands. Remember, however, that your opponent is in the same shoes if you make a larger raise size with a wider range. Now he wants to play more hands, but will lose much more with his weaker hands.
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