I'm not sure I understand how hand equity translates into correct action. Here is a theoretical hand to illustrate my conundrum:
5/5 NLHE, $500 effective stacks, 9-handed
three limpers, HJ raises to $30 with QJs, folds to hero OTB with AA and we make it $85. Blinds fold, limpers fold, HJ calls. Pot is $190 after rake.
Flops comes QT9r, no suit cards for HJ. HJ decides to donk-bet into hero to $115, leaving himself $300 behind. While hero thinks about whether or not to ship, fold, call, throw up a little...HJ turns over his hand, showing us QJs with no suits on board, giving him 45% equity in the pot vs. our AA. Now, we're really in a pickle...
If we ship in the rest of our stack ($415) and push our 55%-45% edge differential, we make the pot $720, $300 for HJ to call. He only needs 41.6% equity to make the call, and he has 45% equity in the hand.
Therefore, given that there is no amount we can raise given HJ's equity in the hand where HJ doesn't correctly call off, are we correct to rip it in? Do we just call and decide on the turn?
This probably comes up more in PLO where more hand equities run closer together, and your bets are limited to the size of the pot. If any of you PLO wizards could address this for PLO, that would be fantastic!