It depends on a few things. The most important is the tournament situation. Everything goes out the window if you’re playing for $1,000. Still, the correct way to play for a draw is to play normally and try to not take any risks, not to go crazy exchanging or accepting a slightly worse position as white.

Second is the evaluation of the position. If you’re an ambitious player, and you’re not playing for a norm/lots of money, you shouldn’t take a draw against anyone in a equal or better position. If the position is equal, play it out and learn something. If you’re better, don’t even accept a draw from Carlsen.

One, the evaluation of the position. Two, contempt for your opponent. If I’m down a clean pawn with a perpetual in hand against a 2200, I’m taking a draw. 1400, I’m playing on.