This is an interesting article about the meaning and implications of winning.
To summarize some of my earlier thoughts, most games have scores which indicate relative success to other players, as well as relative success to our own previous scores. Yet, at the end of most games, we discard these scores and simply assign a "1" (for win) or a "0" (for loss) to all participants.
Or More Specifically
My goal is to separate "winning" from "goals" and "competition". Consider a game of Chess.
In the game of Chess, the goal is to checkmate your opponent. The game is competitive, in that one player works to thwart the other from doing so. The game is designed to end as soon as one player achieves their goal, thus preventing the other player from achieving theirs.