This may not seem revolutionary to you, but it was to me. I used to be a lot more indignant. I would reject the notion that I should admit when I was wrong. I simply didn't want to admit it. I didn't want to give in. It was childish and foolish. But when I did, I felt like I started to set myself free. Who was I kidding? No one. I'm not perfect and am bound to make mistakes. Stubbornly holding fast to my principal of always being right left me feeling powerless, not powerful.
Try admitting you are wrong- it can actually be quite productive when you are in the middle of a disagreement.