Most of people drop discussion easily. Some others don't. As if they would like to argue. They feel that they have to demonstrate something. Is there a formal trait to describe people who enjoy arguing and the behavior of enjoying an argument?
Is there a formal name for the love of arguing?
social psychology;personality
I can't think of any clinical term for it, but a contentious individual is one who is eager to fight. Another term, pugnacious, is a little less derogatory than contentious.