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Repost: http://www.runitonce.com/poker-training/videos/109-tornado-final-table-review/

Parker,

In games where stacks are really shallow oop's R should be higher than deep because in general the players will go all in on earlier streets and there is no room for overbets, multiple barrels or whatever. You are right in that if oop c/r ip will  fold sometimes, but that argument also applies to overbets (if ip has room to overbet oop wil have to fold more and thus R goes down, or ip will barrel more and oop will have to fold a part of his range on turn and river and thus his R will go down). In a really shallow game where spr is really low on the flop oop's R should be higher than deep because all the hands that calls a bet on flop sees the river. If you dont believe me you can watch the last Oxota's video where he says in the first 3 minutes that in CAP games in big blind you should defend about 100% vs a bn steal because "playability doesn't matter as much when the pot is 4.5bb and you have 18bb to go", what that means is that oop's R is high because they are playing shallow. Also in your last comment you say "This is the case if we are very shallow and we find ourselves on the flop for whatever reason with something like <.5 SPR. In this case the small amount of stack left usually means that IP will jam the flop a lot and thus keep his R very close to 100 by ensuring he sees all 5 cards." (basically same argument as mine, didn't read well your last comment), with this you are contradicting yourself and saying that im right, because ip's R with 100bb is higher than 100 so you are saying that ip's R goes up as stacks gets deeper.

Parker,

my comment was trying to make a point about that R is going to be higher for ip playing deep than playing with 100bb, sorry if i cant explain myself well. What im trying to say is this: lets suppose that X is ip equity realization and Y is oop's, first of all X+Y=200. You are saying  that "Y@ 100bb < OOP's Y@ 500bb" because oop has more maneuverability in the 500bb scenario, but this statement is also truth for ip so X has to increase too (ip is deep and have more maneuverability too) and that can't happen because then X+Y>200. IP's R @ 100bb < IP's R @ 500bb because he has initiative and position so more playability even playing deep, for example he can make more overbets and put oop in more tough spots than being with 100bb.

Having more maneuverability doesn't seems to be a good reason for the R to go up because villian is deep too so he will also have more maneuverability and more R, as you can imagine, both R cant go up at the same time. Intuitively it looks like having more maneuverability favours ip player because he also have initiative.