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Should I be checking most of my my non-nut draw overpairs multiway out of position?
Theoretically, you should be more likely to bet non-nut hands out of position; OOP bets more mixed (less polarized) than IP because the cost of having a defined range is higher when you have to face an additional bet (rather than getting to check and see the next street). Although in four-way pots you just bet a lot tighter in general, so see below.
The pot being four-way is the biggest single reason to check here. Also, there is no real reason to increase the pot size. Diamond turns aren't great -- not only is it a 2nd-nut draw, but you block Qd and Td -- blank ones suck, at least you do have four set outs (oh the joys of having so many cards), but collectively all of that isn't so good against so many players. This flop interacts quite poorly with your raising range, so check a lot in general.
Against the flop raise, it's a pot odds calc vs. his entire stack, since stacks are shallow enough that EV(call) ~ EV(all-in). Seems like a fold.
Last edited by Rei Ayanami; 10-14-2018 at 08:57 AM.