Two-Person Zero-Sum Game/Example/-1, 0, 1

Example of Two-Person Zero-Sum Game
The two players are $A$ and $B$.

$A$ and $B$ each have three possible moves, the values:
 * $-1, 0, 1$

Let $A$'s move be $s$.

Let $B$'s move be $t$.

Then the payoff to $A$ is given by:
 * $p \left({A}\right) = s \left({t - s}\right) + t \left({t + s}\right)$

As $G$ is zero-sum it follows that the payoff to $A$ is given by:
 * $p \left({B}\right) = s \left({s - t}\right) - t \left({t + s}\right)$