[TrueBritt]

Please forgive this general theory question.

Of course I understand that the conventional wisdom recommends isolating one opponent when you have a big pair. However, Angel Largay recommends letting a big field see the flop with you with TT-QQ. The math bears this out:

If you have JJ and just one opponent, and both of you put in $100 to see a flop, your equity against a random holding is 78%. 78% of 200 is $156, so that is your equity.
Your price is $100.
So your EV = 156-100 = $56.

Now, say you have let 8 opponents with random holdings see the flop with you. Here, your equity is 20% of 900 = $180
Your price, again, is $100.
Therefore, your EV is 180-100 = $80

So your EV is $24 greater if you let 8 people see the flop with you versus when you let only 1 see it with you.

This got me thinking: surely this is true of AA as well. In fact, the math shows that it is:

AA versus 1 random opponent
Equity: 85% of 200 = $170
Price: $100
EV: 170-100=$70

AA versus 8 random opponents
Equity: 34% of $900=$306
Price: $100
EV: 306-100=$206

So you gain 206-70=$146 in equity by letting 8 people see the flop with you.

Of course, this assumes that 8 people will pay $100 to see a flop. But doesn't this suggest we should try to keep as many people in the pot as possible when we have AA? And that if we raise, it should be a small, pot-building raise that will encourage people to stay in, rather than a big raise designed to isolate one opponent?

The next question is, what do we do when we flop on overpair and 8 other people see the flop with us? Bet out and fold to resistance? Check-call until we feel we are beat? Check-fold unless we hit a set?

If I am missing something, please tell me what it is.

If you believe it is, in fact, better to isolate one opponent, please explain to me why you think so.