Dealing with overly agressive IP 3bers/ Is having a 4b shoving range viable?

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Dealing with overly agressive IP 3bers/ Is having a 4b shoving range viable?

Started this thread to get opinions on different strategies to counter overly aggressive IP 3bers and if developing a 4b shoving range is viable.

For example lets assume hero's position is CO (27% open) and he is 3b by the villain on the BTN at 10% in this dynamic.

I believe the widest his absolute "value" range could be is 4.68% {TT+, AQo+, AQs+}. We also know that villain is a competent reg and is flatting these hands pre some % of the time. So this is an estimation of what his 3b value range would look like BTN vs CO with weights attached: {TT(.5), JJ(.5), QQ(.75), KK(.9), AA(.9), AQo(.5), AQs(.5), AKo(.75), AKs(.9)}

This gives villain a true "value" 3b% of around 3.16%. If he's 3bing at 10% overall this means that villian will have to fold to a shove more than twice as often as he can call.

Hero has a 4b shoving range of {55-77,TT-JJ} which has 40% equity when called.

Assuming 5.10 blinds. $25 Open from hero and $100 3b from villian

EV=F($POT)+C(%W$W)-C(%L$L)
F+C=100%
F=.66
C=.33

EV=.66(140)+.33(.41040)-.33(.6975)
EV=($92.4+137.28)- 193.05

EV=+$36.63

If these assumption are correct our 4b shoving range yields us +3.63BBs.

To me this seems like a good result because the 55-77 portion of our range is very difficult to play. It seems too nitty to fold to someone 3bing this much, way to spewey to 4b/call and too difficult to play post flop to open/ call 3b.

Why not have a OOP 4b shove range against villains who simply have too many wide 3bs IP if we can show a profit? Is this strategy of developing a 4b shove range just too transparent and easy to adjust to? Interested to hear your thoughts.

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