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You and Your Friend Have Come Up with the Following

Question 52

Multiple Choice

You and your friend have come up with the following simple game to pass the time: at each round, you simultaneously call "heads" or "tails". If you have both called the same thing, your friend wins one point; if your calls differ, you win one point. Set up the payoff matrix.


A)  friend HTyouHT[1111]\begin{array} { l } \quad\quad\quad\quad\text { friend } \\\quad\quad\quad\quad\quad H \quad T \\\mathrm { you} \begin{array} { l } H \\ { T }\end{array} \left[ \begin{array} { l l } -1&1\\1&-1\end{array} \right] \\\end{array}
B)  friend HTyouHT[1111]\begin{array} { l } \quad\quad\quad\quad\text { friend } \\\quad\quad\quad\quad\quad H \quad T \\\mathrm { you} \begin{array} { l } H \\ { T }\end{array} \left[ \begin{array} { l l } 1&1\\-1&-1\end{array} \right] \\\end{array}

C)  friend HTyouHT[1111]\begin{array} { l } \quad\quad\quad\quad\text { friend } \\\quad\quad\quad\quad\quad H \quad T \\\mathrm { you} \begin{array} { l } H \\ { T }\end{array} \left[ \begin{array} { l l } -1&-1\\1&1\end{array} \right] \\\end{array}

D)  friend HTyouHT[1111]\begin{array} { l } \quad\quad\quad\quad\text { friend } \\\quad\quad\quad\quad\quad H \quad T \\\mathrm { you} \begin{array} { l } H \\ { T }\end{array} \left[ \begin{array} { l l } 1&-1\\-1&1\end{array} \right] \\\end{array}

E)  friend HTyouHT[2112]\begin{array} { l } \quad\quad\quad\quad\text { friend } \\\quad\quad\quad\quad\quad H \quad T \\\mathrm { you} \begin{array} { l } H \\ { T }\end{array} \left[ \begin{array} { l l } 2&-1\\-1&2\end{array} \right] \\\end{array}

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