= Solution
Use net monetary gain as payoff and order each player's <pure strategies> as $1,2,4$. The <payoff matrix> for the first player is
$$
\boxed{A=\begin{pmatrix}0&2&-1\\1&0&-2\\-4&-4&0\end{pmatrix}.}
$$
The second player's matrix is $-A$. Equal choices return both stakes, so the diagonal is zero; when the first player wins, their net gain is the other's stake, and when they lose it is minus their own stake. This is a <matrix game>, hence a <zero-sum game> and a <normal-form game>.
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