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\author{Teschl Gerald}
\title{Quiz 10}
\date{11 Sep. 1995}

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\hfill {\bf Name}: $\ul{\hspace*{5cm}}$\\[2mm]
\hspace*{2mm}\hfill {\bf ID \#}: $\ul{\hspace*{5cm}}$\\[5mm]

{\Huge Quiz 10} \hfill {\Large take-home- due 12/4/95}\\[5mm]

\noindent 1) Determine whether the following statements are true about the payoff matrix.
\begin{equation}
\left[ \ba{ccc} 2 & 3 & -1 \\ 4 & 4 & 1 \\ -3 & 5 & 0\ea\right]
\end{equation}
(1) $r_1$ dominates $r_2$.~\hfill(1pt.)\\
(2) $r_2$ dominates $r_1$.~\hfill(1pt.)\\
(3) $c_2$ dominates $c_3$.~\hfill(1pt.)\\
(4) $c_3$ dominates $c_1$.~\hfill(1pt.)\\[1cm]


\noindent 2) Determine whether the game associated with the payoff matrix (1) above is
strictly determined or not? If yes, compute the value and solution of the game. If
not, determine the optimal strategy for both players and the value. Is the game
fair?~\hfill(3pts.)\\[3cm]

\noindent 3) Determine whether the game associated with the payoff matrix
\bd
\left[ \ba{cc} 3 & 6 \\ 7 & 2 \\ 2 & 1 \ea\right]
\ed
is strictly determined or not? If yes, compute the value and solution of the game.
If not, determine the optimal strategy for both players and the value. Is the game
fair?~\hfill(3pts.)

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