Some will fight to the death to prove the rightness of their point of view. Some just like to fight for the fun of it. In either case, nothing you can say or do will change their mind and stop the fight.
Do you ever see the insanity of an argument and try to stop it or change it with well considered, logical arguments? Does it ever work? Or do you get more frustrated, tangled and drawn into the fight?
If you don't enjoy arguing and would like to move beyond the fight to new possibilities, smile and say "You're right, I'm wrong" three times.
You're not agreeing the other person is right. You're acknowledging their right to their point of view, and you are being in allowance of them not seeing yours.
The words are easy, the energy behind the words might take practice. Saying these words sarcastically or angrily will not work. Your energy must be of complete allowance. Will they work? Next time someone wants to fight you, try them and see.