Bowing out to a competitor: Sign of Respect or a sign of a coward?

You make it all they way to the final match in competition to compete for first and second place. You have to compete against a team mate in order to win the first place. Do you bow out to show respect to your team mate or are you just afraid of being beat by him or her? Aren't we there to compete? Didn't we just travel hundreds of miles to get this first place? Is it the right thing to do when you respect that other individual so much? Let us know what you think below.