Suppose you are playing the last round in a tournament and are out of the running. All your opponent needs is a draw to win the tournament. You have the advantage in a very tough endgame. You have a King, Queen, and pawn vs. King and Queen. You know you have a theoretical win, but analyzing the position has given you a migraine headache. All you want to do is go home. Is it ethical to agree to draw?
And King Queen pawn v Queen King is usually a draw anyways, as it is almost impossible to escape perpetual. I drew a similar position in one of my games - KQ3P v KQ2P, because perpetual check was unavoidable.
You know you have a theoretical win, but analyzing the position has given you a migraine headache. All you want to do is go home. Is it ethical to agree to draw?
The United States Chess Team faced a similar problem with the North Vietnamese Team in the early 60's. The U.S. should have offered a draw on the second move, but played on and lost. Some positions just can't be won.