My brother and I don't get along at all. I am 22 and he is 20. We compete on almost every issue every day since we are in the same program in university and are forced to live in the same home and ...
Neither of you are children anymore. You need to man up and stop acting like it. Stop reacting to him. Stop competing. Stop annoying him. Concentrate on your education and trying to be the best YOU can be, not trying to better him.
It is way more than that. If i purposely do not react when he creates a situation then he gets even more angry. He has pushed me into walls before and body checked me simply because I asked for help cleaning the kitchen. I don't know how to react anymore because if I do react my parents yell at me, and if I don't react then my brother amps up the situation to get me going. He knows that he will never get in trouble because he is the golden boy and stirs the pot so to speak.
If that's true, then in my opinion, he needs to be arrested for assault. You don't put you hands on women, for any reason. I don't care who you are.
Is there no way you could get out out of the house, get a room mate, be on your own so you wouldn't have to deal with him and your biased parents. Who must be blind because a genuinely good, worthy person wouldn't act like such a complete asshole. I know that brothers and sisters always have conflicts. Heck, even my sister, who is my best friend and very loved by me, had our problems when we were kids. But we never hit or pushed or touched each other in any hostile way. And we always looked out for each other and if there was trouble, either of us would have fought to defend the other. My sister and I are fortunate in our relationship. But we're just alike and genuinely like each other. Not always the same for other siblings.
I wish I could give you a better answer, but the truth is, as long as your parents turn a blind eye to his faults and he knows he can get away with it, he's going to be an asshole. I sincerely wish you luck, but you need to get out of the house and away from him, and stay away until he learns to act like a decent human being.