Definition:Eluding Game

Definition

The eluding game is a two-person game whose mechanics are as follows.

The two players are $A$ and $B$.

$A$ and $B$ each have three possible moves, the values:

$1, 2, 3$

If both choose the same number, $A$ pays to $B$ the amount of the chosen number.

Otherwise, $A$ receives the amount of his own number from $B$.

The payoff table of the eluding game is as follows:

		$\text B$
$\text A$		$\begin{array} {r {{\|}} c {{\|}} c {{\|}} c {{\|}} } & 1 & 2 & 3 \\ \hline 1 & -1 & 1 & 1 \\ \hline 2 & 2 & -2 & 2 \\ \hline 3 & 3 & 3 & -3 \\ \hline \end{array}$

1956: Steven Vajda: The Theory of Games and Linear Programming ... (previous) ... (next): Chapter $\text{I}$: An Outline of the Theory of Games: $3$