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) \(\begin{array} { l }
• \quad\quad\quad\quad\text { friend } \\
• \quad\quad\quad\quad\quad H \quad T \\
• \mathrm { you} \begin{array} { l }
• H \\
• { T }
• \end{array} \left[ \begin{array} { l l }
• -1&1\\1&-1
• \end{array} \right] \\
• \end{array}\)
• B) \(\begin{array} { l }
• \quad\quad\quad\quad\text { friend } \\
• \quad\quad\quad\quad\quad H \quad T \\
• \mathrm { you} \begin{array} { l }
• H \\
• { T }
• \end{array} \left[ \begin{array} { l l }
• 1&1\\-1&-1
• \end{array} \right] \\
• \end{array}\)
• C) \(\begin{array} { l }
• \quad\quad\quad\quad\text { friend } \\
• \quad\quad\quad\quad\quad H \quad T \\
• \mathrm { you} \begin{array} { l }
• H \\
• { T }
• \end{array} \left[ \begin{array} { l l }
• -1&-1\\1&1
• \end{array} \right] \\
• \end{array}\)
• D) \(\begin{array} { l }
• \quad\quad\quad\quad\text { friend } \\
• \quad\quad\quad\quad\quad H \quad T \\
• \mathrm { you} \begin{array} { l }
• H \\
• { T }
• \end{array} \left[ \begin{array} { l l }
• 1&-1\\-1&1
• \end{array} \right] \\
• \end{array}\)
• E) \(\begin{array} { l }
• \quad\quad\quad\quad\text { friend } \\
• \quad\quad\quad\quad\quad H \quad T \\
• \mathrm { you} \begin{array} { l }
• H \\
• { T }
• \end{array} \left[ \begin{array} { l l }
• 2&-1\\-1&2
• \end{array} \right] \\
• \end{array}\)