This is a discussion on op-raise size with antes within the online poker forums, in the Learning Poker section; I didn't get an answer I wanted there:https://www.cardschat.com/forum/tournament-poker-59/op-raise-size-ante-484111/
So I repeat it again here:
How should you change your op-raise size with antes?
Is it simply 2.5bb +
I'm not able to provide a specific rule of the form: Raise-Size = X bb's + Antes
But here are some thoughts on this:
In practice, most players make open-raise size based on effective stack rather than antes. So with 150bb stacks you might 3x (regardless of ante), and with 30bb stacks you would min-raise.
I agree in theory though that ante size should impact raise size; with a very large ante, for example, good opponents would never fold the big blind facing a min-raise. So the right approach probably depends on the table. Normally it's fine to have a default open-raise sizing that just varies with effective stack. But if there's a bigger ante and players are adjusting well, then increasing your raise size to an amount that gets you some fold equity would be correct.
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Ranges should also be varied depending on ante. If there is no ante, or the total ante in the pot is only a fraction of a big blind, then its often completely fine to give big blind a walk, if it folds to you in small blind, and you look down at some trash hand. Whereas if the total ante is more than a big blind, you definitely can not give up without a fight to often. So in that situation you probably want to develop a SB limping strategy, where you then also mix in some "trap" hands. Or you simply limp all your hands.