I'm not very competitive against other people, but I do push myself at work and in school, and I'm pleased when I come out on top because it suggests that I did my best. I tend not to be disappointed when others do better than I do, unless I know I didn't try as hard as I could have. I'm definitely not the sort of person who would sabotage others to make myself look good, and I'll teach people anything I know -- partly because I would want them to do the same for me, but partly because teaching helps cement the skills/knowledge in my own mind.
I get the feeling this is not too far from the prevailing attitude at U.Va., which is one of the reasons I decided to go there.