In general, a zero-sum game represents a closed system: everything that someone wins must be lost by someone else. Most parlor games are of the zero-sum type. Two-person zero-sum games are sometimes called strictly competitive games. (Guillermo, 2013)
Because of the condition, the component of a payoff vector is determined by the remaining components. (Guillermo, 2013)In the case of a two-person zero-sum game, we can simply give the first component of the payoff vector; the second component is necessarily the negative of the first. We would call the first component simply the, and it is understood that the second player gives this amount to the first player.
It will be seen that a two-person zero-sum game differs from other games in that there is no reason for any negotiation between the players: in fact, whoever wins, the other loses. The meaningfulness of this will be seen from
Nitisha (2015) also states that “in zero-sum game, the gain of one player is always equal to the loss of the other player. On the other hand, non-zero sum game is the games in which sum of the outcomes of all the players is not zero.”