When my little brother and I used to fight, one of us would invariably end up running to mom to tattle on the other and ask mom to intervene for us and take sides. Her response was to tell us to work it out between ourselves.
It made us mad that we didn't get the attention from her, but also made us resolve the problem or find a way to ignore each other until we calmed down. Eventually we just stopped going to her because we knew what the answer was going to be.
As for resolving the problem ourselves, my brother and I both still bear the scars from our attempts to do so. I used to bean him over the head with dirt clods thrown at a distance and he used to sneak up and burn the **** out of my bare arms after holding a teaspoon over a match to get it hot. When he got too strong for me to physically defend against, I just figured out how to mentally torture him. His bugaboo was mayonaise or garden snails so after he burned me, I'd torture him by chasing him with mayonaise covered snails and smash them in his face. He still hates mayonaise to this day.
But we solved the problem between ourselves!