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The basic idea of pot control is to bet smaller when you bet, AND/OR sometimes check in lieu of betting, with the idea that both of these things keep the pot size smaller (obviously). Hands like one pair, or even two pair or trips on a dangerous board, are well-served by playing a pot control game a lot of times - one because the hand is not that strong and really doesn't have full stack value except against a maniac; and two because you don't want to artificially inflate the pot and invite someone to execute a bluff that would be really difficult for you to call. Basically you keep the pot managable when you are in a spot where you might not be comfortable putting all your chips in.
The thing about TPTK on a seemingly raggy board is a related (but not identical) concept: wa/wb (way ahead/way behind). In your example, let's say you raised pre-flop with AK and a decent player calls out of position. The board is A83, he checks, you bet, and he calls. The turn is a 6 and he checks again. Why might you check here? Well - because he's decent, and your hand doesn't expect to get three streets of value from him with very many worse hands. So he might be trapping with a better hand that you have very few (or no) outs against; or he might be way behind you (say with an ace/worse kicker, or a pair like TT) and has very few outs against you instead. In this case you're either way ahead and he'll probably fold to the 2nd barrel, or you're way behind and don't want to put a bunch of money in anyway. So you check, with the expectation to call most reasonable bets on the river, and usually value bet if checked to. In the latter case, he often shows down a weaker ace or underpair that probably wouldn't have called bets on all three streets anyway, so you're not losing anything by not having bet the turn; in fact you might be GAINING a bet by playing it this way.
(In this example our theoretical decent player has a pretty small range of hands: Ax; mid pocket pairs like 99, TT, and JJ; and sets. The important thing is that if he has a worse ace or a mid pair, he is drawing to two or three outs. If he has a set, you have only runner-runner outs on the flop and no outs on the turn. Hence, the way ahead/way behind concept.)
But in general I think wa/wb thinking applies to decent & tight players, not fish, maniacs, donks, laggs, etc. Against all the varieties of bad players, you may be better off just value-towning them to death.
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