2 Competitiors But 1 Prize

2 Competitors and 1 Prize

Let's say you and a friend are competing in a race and the winner receives a gold metal and recognition. What if the competition, regardless of the prize, is what is bothering you? Would you be more obligated to take them out than win the race? I have read several articles suggesting that people are a lot more aggressive towards their competitors than having the motivation to get that prize. If 2 maniacs were to have a mission to kill a person and only one would receive a prize, would you think that the possibility of one of them winning would be to have no competition at all? Perhaps.