SPR actually matters quite a bit in the scenario you described. As OOP you don't want to put it any money in the pot voluntarily because IP has all those nutted combos and therefore can use the high SPR in his favor and have a very profitable all-in strategy againts OOP capped range. If the SPR was like 2 or something then I would imagine that the optimal strategy is very different, because now IP has a much smaller cap in terms of how much he can win with his nutted combos.

It's easy to see why a scenario like this would occur if you think about it this way: imagine a situation where OOP range is 100 combos of TP and IP range is 10 combos of sets and 90 combos of air. In this situation there's no incentive for OOP to bet despite having 90% equity, because IP cannot call with air and can only call with combos that beat OOP.

Can we think similar situations on the flop and turn where a player with significantly capped range would check most if not all of their range despite overwhelming EV advantage?

This type of scenario surely exists, mainly with deep stacks when the player with lower equity has a nut advantage. SPR is a key factor here aswell.

SPR does matter. but only up-to a threshold. 5 to 1 and 10 to 1 provide the same results. In addition, the solution my contain multiple Nash Equilibrium, most of while involve a lot of check folding by OOP.

It is very interesting to see that, it isn't only Range and Ev advantage that affect the equilibrium strategy for all streets. Being capped has huge consequences, and as stacks get deeper, capped player will have a hard time extracting value from the Equity advantage.

Hi guys,

What is your definition of range advantage and EV advantage?