\begin{definition}[Definition:Eluding Game]
'''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 $B$.
\end{definition}