Category:Definitions/Examples of Payoff Tables
This category contains definitions of examples of payoff tables.
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.
| $\text B$ | ||
| $\text A$ | $\begin {array} {r {{|}} c {{|}} } & \text L & \text R \\ \hline \text T & w_1, w_2 & x_1, x_2 \\ \hline \text B & y_1, y_2 & z_1, z_2 \\ \hline \end {array}$ |
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 $\text B$.
Pages in category "Definitions/Examples of Payoff Tables"
The following 7 pages are in this category, out of 7 total.