Ahhhh, a more advanced concept with some evidence. I like it. Seeing how we have the deck pretty much crippled on this type of board texture calling is obviously a better play than raising. There are many reasons, here are just a few:

1. If we looked at his c/minraise+fold to flop 3bet range vs. his c/minraise+stack-off range on the flop they would carry similar equity (i.e. not much at all, something like 12% at the most).

2. If we understand on this board texture he'll be c/r bluffing a large % of the time (even more so seeing how we have 3 kings, making it that much harder for him to have 2pr/TP type hands) it would make no sense to re-raise the flop. All a raise would be doing is blowing out his marginal made hands and his bluffs/air. By just calling we allow him to take a wider and weaker range to the turn.

Now let's look at this with a weaker hand:

If we have AK/KQ/QQ/AJ type hands this would be an important concept. In order for a lot of money to profitably go into the pot with these type of hands we must FORCE (by force I mean we make him continue with a weak/wide range by not re-raising the flop) villain to continue with a wide range. If we re-raise the flop and shrink his range we start losing the equity battle.

Let's look at these pokerstove numbers:

Against a range for villain which includes 2pr/sets/QT/AQ/top pair/2nd pair (AJ/QJ/JT) and like 5 total bluffs we have:

91% equity with KK
76% equity with AKo

Now, let's look at his range vs. a shove. We'll remove some of the 2nd pair hands, the AQ type hands, and all the bluffs where his stack-off range becomes:

KK,JJ,66,AKs,KTs+,QTs,AKo,KTo+,QTo

Against this range this is how our hands stack up:

87% equity with KK
57% equity with AKo

So you can see, the weaker our hand is the more we profit from forcing our opponent to continue to the turn with his entire flop raising range.