[mvdgaag]

If we assume he calls preflop and will give up with an A or K on the flop (which is very hypothetical and just for the sake of this threat, no way it is this simple in real poker). You want to maximise your EV in the other situations:

you will flop an A or K about 1/3 of the time.
The other 2/3 of the time you want him to have to give up as well.

So you'll continue with AK a little less often as you do with AA when you didn't hit the flop. You were dealt 6x AA and 16x AK, so you could for example continue even if you didn't hit with all the suited AK's and AsKc. Now if you continue you'll have AA 6 times and AK 5 times, so even if your opponent knows your strategy he will still be in bad shape.

Again: In practise your opponents do not know and you'll have to continue less often most of the time, because they will call too often in general.