Category:Definitions/Examples of Payoff Tables

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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 $\text B$.