A common spot is when you are in the BB and there's one raiser only compared to one raiser and one caller or more.

I have the vague idea of hearing people say "I will call with this hands because my pot odds are so good".

Yet, playing around with my solver, I have found the BB calls the tighter and tighter the more people on the pot, contrary to what pot odds intuition would tell us. It's the same pattern even for tournaments with antes, here some numbers:

Cash Defences:

BB vs UTG = 23%.

BB vs UTG+MP = 15%.

BB vs UTG+MP+BU = 6%.

MTT with antes Defences:

BB vs first = 46%.

BB vs first+second = 30%.

BB vs first+second+third = 20%.

I understand the solver assumes we are against good players, and recs could make us deviate if we are looking for maximun profit, but is this GTO concept correct?

Thanks!

Yes technically you have immediate odds to call but you have to factor in how likely you are to realize that equity and consider reverse implied odds, position etc.

My guess is that what's happening here is that when there is only one opener, you are more likely to be good with 1 pair or even 2 pair. But when more players are in the pot, all of a sudden your reverse implied odds with those hands goes way up.

It also becomes much harder to get semi-bluffs through postflop and you will always be doing it out of position. So you're just not in a good situation.

Again, as you said though, this assumes all opponents are playing well. (Which could imply that the range they are calling an open with not last to act, combined with the opener's range, will totally crush you.)

yes, but it's not linear. ie- QJo requires much less direct pot odds than 95o - which is a hand so bad that there might not be enough odds to ever call.

Maybe you didn't get right what I wrote.

The thing is, ranges "shrink" when better pot odds are given because of more players in the pot, they don't get wider but "sometimes some hands are so bad they never get the odds".

If early raises and 2 other players come in pair values get crushed.

Yep. And not only pairs get destroyed (even tho they hold against two), other types of hands too.

You end up defending pure in cash 6 max basically AKo, JJ+, AQs+

You pretty much want to call with hands with good implied odds. It's almost always OK to call with pairs to set mine, and suited aces and suited connectors are sometimes playable depending on how tight the ranges you're up against are.

You've also got to consider the assumptions the solver is making and ask yourself whether they're reasonable. The solver's calling ranges are often much tighter than people are actually calling with, so this results in BB defending very tight because the solver is assuming you're up against very strong ranges when you might not be.

Yes, you're supposed to call tighter multiway from the BB as more players are involved. Sure, your raw money put in vs size of the pot ratio is higher multiway, but the more players, the worse your equity AND equity realization are OOP.

Let's say you are calling vs CO and button at a 2.5bb open. You are risking 1.5 to get into a pot of 8bb, so yea on paper you only need like 20% equity for it to be profitable if you can realize all that equity. However, you are out of position and unlikely to realize a lot of that equity. Think about a hand like 7d5d hand on a flop like AdJh6s flop. You have a significant amount of equity against their ranges but it's going to be hard to realize that equity, because you are going to be pushed out before you get to see potential turn improving cards.

Also worth noting that solvers have strong flatting ranges, so you would adjust your own BB defense range a big wider multiway if players are flatting wider than a solver.

The solver says to not defend 88, 99, TT, AJs 4 ways?

4 ways is a lot of players, hard to protect your equity even if you flop an overpair. really don't want to be dominated.

at equilibrium ranges to flat behind are quite strong. Certainly if you expand the flatting ranges of the other callers, and add in some extra EV if you're in a soft game and better than opponents, BB def range will widen, but even so I would guess the range for flatting behind to be tighter than people treat it.

It still usually makes sense to call with pocket pairs to set mine though. The multi-way charts I use are somewhat limited as they exclude the option to call in a lot of positions where players should theoretically be playing a 3-bet or fold strategy.

Still in just about every multi-way spot I have looked at the BB is calling with PPs when they're closing the action.

Here is BB response to UTG raise, UTG+1 call and LJ call.

Stand corrected good to know