 However, suppose that one plays this game as a supertask, so that the entire infinite number of offers is played in finite time. Then how much money will the player have? Following exactly the same reasoning as in the Littlewood-Ross paradox, we find that the answer is $0. For each bill’s serial number, there is a stage at which that bill was returned. So, if we presume the worldlines of the bills must be continuous, then the infinite game ends with the player winning nothing at all. This is a game in which the rational strategy at each finite stage does not provide a winning strategy for the infinite game.