\begin{definition}[Definition:Card Game with Bluffing]
The '''card game with bluffing''' is a class of games which is exemplified by the example whose mechanics are as follows:
There are two players: $A$ and $B$.
First it is $A$'s move.
$A$ receives one of two possible cards: either the '''high card''' or the '''low card'''.
If he receives the '''high card''', he must bid $2$ credits.
If he receives the '''low card''', he has two options, either:
:$\map A 1: \quad$ He may pay $1$ credit, and the play is complete.
or
:$\map A 2: \quad$ He may bid $2$ credits.
If $A$ has bid $2$ credits, it is $B$'s move.
$B$ has two options, either:
:$\map B 1: \quad$ He may pay $1$ credit
or
:$\map B 2: \quad$ He may challenge $A$'s bid.
If $A$ had the '''high card''', $B$ must pay $2$ credits to $A$.
If $A$ had the '''low card''', $A$ must pay $2$ credits to $B$.
The play is complete.
\end{definition}