# Definition:Zero-Sum Game

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## Definition

A **zero-sum game** is a game in which the total of the payoffs to all players is zero.

### Non-Zero Sum Game

A **non-zero-sum game** is a game in which the total of the payoffs to all players is dependent upon the moves made to reach those payoffs.

## Examples

Examples of zero-sum game include:

- Poker: the total amount of money on the table is fixed -- what one person loses the other players win.

## Also known as

A **zero-sum game** is also known as a **constant sum game**.

## Also see

- Results about
**zero-sum games**can be found here.

## Sources

- 1956: Steven Vajda:
*The Theory of Games and Linear Programming*... (previous) ... (next): Chapter $\text{I}$: An Outline of the Theory of Games: $2$ - 1983: Morton D. Davis:
*Game Theory*(revised ed.) ... (previous) ... (next): $\S 2$: The Two-Person, Zero-Sum Game with Equilibrium Points - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**zero-sum game** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**zero-sum game** - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**zero-sum game**