Does he know he exposed his hand? I'm assuming he doesn't (and that he also doesn't know what we hold).

These are my answers for a tournament, with an eye on stack preservation, and keeping in mind that we have no fold equity.

a) when he shoves, you're getting 2-1 on the call ($200 in pot, $100 for you to call) and you have right around 35% equity, which is more than what you need. you're very slightly +cEV here. call.

b) check

c) call because you don't have fold equity on a raise since he has the current nuts.

In a cash game, the answer is absolutely get it in for all three. Right?

Text results appended to pokerstove.txt

 990  games     0.000 secs   198,000  games/sec

Board: Qs Jd Tc
Dead:  

    equity     win     tie           pots won     pots tied    
Hand 0:     65.101%      64.65%     00.45%                640             4.50   { AdKh }
Hand 1:     34.899%      34.44%     00.45%                341             4.50   { QcQh }

Doesn't matter what the opponent does either AB or C we're getting it in here always 100% of the time and the opponent will call 100% of the time.

As river mentioned it is +ev

For every 100 times this occurs

You will win 35 Units x 2 = 70 Units

You will lose 65 Units x 1 = 65 Units

A net profit of 5 units.

If you consider most casino table games have an edge of 51% House and 49% Player, you couldn't get your chips in quick enough.

Now if you want to consider ICM and tournament life etc, well that's another subject all together and something for each individual players risk tolerance.

Tiny_Molester said:

“We all know open shoving 100bb with AA pf is +cEV but we don’t do it because?”

The difference between the above question and the original question is that in your original question we already know the villian has the nuts and is never folding and we can confidently get all the chips in post flop knowing the villian is calling. There's no need to get tricky or work out how to extract more chips from him. We know what's in the pot, we know how much he has, we know his hole cards, get em in one way or another. It is highest optimal play.

If we check when he checks and we brick the turn we are not +ev anymore to get it all in, it drops to about 23%.

If the villian knows we know what he has, and then we shove; if he has half a brain he’ll also know our holdings, but he is still never folding.

The “maximum” optimal +ev play is to get it all in post flop whether it is A B or C, just get it in. There is only the pot and his stack to gain.