You Are Deciding Whether to Invade England, Sweden or Norway

Multiple Choice

You are deciding whether to invade England, Sweden or Norway, and your opponent is simultaneously deciding which of these three countries to defend. If you invade a country that your opponent is defending, you will be defeated (payoff: -1) , but if you invade a country your opponent is not defending, you will be successful (payoff: +1) . Set up the payoff matrix.

A) $\begin{array} { l } \quad\quad\text { Your Opponent Defends } \\\quad\quad\quad\quad\quad\quad\quad\quad\quad E\quad S\quad N \\\text { you Invade } \begin{array} { l } E \\ { S }\\N\end{array} \left[ \begin{array} { l l } 1&1&-1\\1&-1&1\\-1&1&1\end{array} \right] \\\end{array}$
B) $\begin{array} { l } \quad\quad\text { Your Opponent Defends } \\\quad\quad\quad\quad\quad\quad\quad\quad\quad E\quad S\quad N \\\text { you Invade } \begin{array} { l } E \\ { S }\\N\end{array} \left[ \begin{array} { l l } -1&1&1\\1&-1&1\\1&1&-1\end{array} \right] \\\end{array}$

C) $\begin{array} { l } \quad\quad\text { Your Opponent Defends } \\\quad\quad\quad\quad\quad\quad\quad\quad\quad E\quad S\quad N \\\text { you Invade } \begin{array} { l } E \\ { S }\\N\end{array} \left[ \begin{array} { l l } 1&-1&1\\-1&1&1\\1&1&-1\end{array} \right] \\\end{array}$

D) $\begin{array} { l } \quad\quad\text { Your Opponent Defends } \\\quad\quad\quad\quad\quad\quad\quad\quad\quad E\quad S\quad N \\\text { you Invade } \begin{array} { l } E \\ { S }\\N\end{array} \left[ \begin{array} { l l } 1&1&-1\\-1&1&1\\1&-1&1\end{array} \right] \\\end{array}$

E) $\begin{array} { l } \quad\quad\text { Your Opponent Defends } \\\quad\quad\quad\quad\quad\quad\quad\quad\quad E\quad S\quad N \\\text { you Invade } \begin{array} { l } E \\ { S }\\N\end{array} \left[ \begin{array} { l l } 1&-1&-1\\-1&1&-1\\-1&-1&1\end{array} \right] \\\end{array}$