So That Everyone Wins Anyone can become angry. That is easy. If one person feels like a loser that will create resentment and distance. Rather everybody should feel like they've won. Express your resentments as soon as you are aware of them rather than letting them build up into an explosion.
Nothing is more important in conflict resolution than the ability to compromise.
Communication should be as clear, direct and as open as possible. Make sure you aren't expecting people to read your mind. Be sure to ask for feedback and reflect on what you think the other person is saying. Often people will be fighting about different issues without being aware of it. Argue only one point at a time.