Is it always advisable to prove that your are right and insist on doing it?

When I was a lot younger, I will never rest until I've proven that I was right and the other person is wrong. I will fight for it at all cost. As time passes by, I kind of feel that this attitude doesn't lead me anywhere and I tend to lose friends instead of gaining them. Later on, I notice that my attitude is slowly changing. Maybe it depends on the issue involved but nevertheless, there are times that the best thing I feel I should do is just to give way.

What do you think?