\begin{definition}[Definition:Payoff Table]
Let $G$ be a two-person game.
A '''payoff table''' for $G$ is an array which specifies the payoff to each player for each strategy of both players.
$G$ is completely defined by its '''payoff table'''.
{{PayoffTable|table = $\begin{array} {r {{|}} c {{|}} }
& \text{L} & \text{R} \\
\hline \text{T} & w_1, w_2 & x_1, x_2 \\
\hline \text{B} & y_1, y_2 & z_1, z_2 \\
\hline \end{array}$}}
The two numbers in the entry formed by row $r$ and column $c$ are the payoffs when the row player's moves is $r$ and the column player's moves is $c$.
The first component given is the payoff to the row player.
If the names of the players are $1$ and $2$, the convention is that the row player is player $1$ and the column player is player $2$.
If the names of the players are $\text{A}$ and $\text{B}$, the convention is that the row player is player $\text{A}$ and the column player is player $\text{B}$.
\end{definition}