I mean, this is a fairly simple math problem:
If we assume players are only calling our shove with AA,KK,QQ, then we can work out how often that happens.
If a player has a 50% VPIP then they're playing half of the approximately 1300 possible combos. AA/KK/QQ accounts for 18 combos. Therefore each player has AA/KK/QQ at most 18/650~ 3% of the time. Against a field of 3 players, they will have AA/KK/QQ at most 3 times that, or 9% of the time.
The profit in EV of shoving is roughly given by the formula
EV = P*F + (P+S)*(1-F)*E - S*(1-F)*(1-E)
where P is the size of the pot, F is our fold equity (% of the time all Villains fold), S is our stack size, and E is the equity of our range against Villain's range when they call us. (This formula is not entirely accurate, but good enough for finding an approximate answer).
In the example I gave, P=260, S=1000, F=90%=0.9.
To find E we need an equity calculator. Several good options are available for free online (here's one:
http://www.propokertools.com/simulations). Plug in the ranges of {AJs+,AQo+,99+} against {QQ+} to find the equity. I used pokercruncher, which costs like 15USD, and found that E=30%=0.3. Therefore even when our shove is called, we're still in pretty good shape -- we rate to win almost 1 out of 3 times.
If you want to take poker seriously, I do recommend you work this out yourself and learn to play around with equity calculations to convince yourself of the profitability of these sorts of plays.
Last edited by aisrael01; 01-06-2019 at 02:28 PM.