Assuming the number of $ initialized remains constant, wouldn't all of the money end up in with a single player leaving all other players in perpetual debt? Si

Assuming the number of $ initialized remains constant, wouldn't all of the money end up in with a single player leaving all other players in perpetual debt? Since the money required to pay the interest is never created, this would create a negative sum game, as players would be charging for money (interest) that doesn't exist.