In
game theory and
economic theory, a
zero-sum game is a
mathematical representation of a situation in which each participant's gain (or loss) of
utility is exactly balanced by the losses (or gains) of the utility of the other participant(s). If the total gains of the participants are added up and the total losses are subtracted, they will sum to zero. Thus
cutting a cake, where taking a larger piece reduces the amount of cake available for others, is a zero-sum game if all participants value each unit of cake equally (see
marginal utility).