A zero-sum game is a game in which players make payments only to each other. In such a game, one player's loss is the other player's gain, so the total amount of "money" available remains constant.
Zero-Sum Game
See also
Finite Game, GameExplore with Wolfram|Alpha
References
Dresher, M. The Mathematics of Games of Strategy: Theory and Applications. New York: Dover, p. 2, 1981.Referenced on Wolfram|Alpha
Zero-Sum GameCite this as:
Weisstein, Eric W. "Zero-Sum Game." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Zero-SumGame.html