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\centerline{Math 36 --- Daily Homework}

\centerline{Assigned: 10/27} 

\centerline{Due: 10/29}
  

\begin{questions}

\question 
For the following asymmetric games, identify all the dominated strategies. Be sure to specify if they are strictly or weakly dominated, and which strategy they are dominated by. (For example, you could write $S$ is strictly dominated by $T$ if $S$ and $T$ were two strategies for one of the players.)

  \begin{table}[h]
    \setlength{\extrarowheight}{2pt}
    \begin{tabular}{cc|c|c|c|}
      & \multicolumn{1}{c}{} & \multicolumn{2}{c}{Player $2$} & \multicolumn{1}{c}{}\\
      & \multicolumn{1}{c}{} & \multicolumn{1}{c}{$D$}  & \multicolumn{1}{c}{$E$} & \multicolumn{1}{c}{$F$}\\\cline{3-5}
      & $A$ & $(4,0)$ & $(1,1)$ & $(7,2)$\\\cline{3-5}
      \multirow{2}*{Player $1$} & $B$ & $(3,2)$ & $(4,3)$ & $(5,6)$\\\cline{3-5}
      & $C$ & $(3,3)$ & $(1,5)$ & $(5,4)$\\\cline{3-5}
    \end{tabular}
  \end{table}
  
  
  \vspace{2 in}
  
  
  \begin{table}[h]
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    \begin{tabular}{cc|c|c|c|}
      & \multicolumn{1}{c}{} & \multicolumn{2}{c}{Player $2$} & \multicolumn{1}{c}{}\\
      & \multicolumn{1}{c}{} & \multicolumn{1}{c}{$D$}  & \multicolumn{1}{c}{$E$} & \multicolumn{1}{c}{$F$}\\\cline{3-5}
      & $A$ & $(0,3)$ & $(4,1)$ & $(3,1)$\\\cline{3-5}
      \multirow{2}*{Player $1$} & $B$ & $(1,7)$ & $(5,3)$ & $(6,4)$\\\cline{3-5}
      & $C$ & $(0,5)$ & $(5,4)$ & $(2,2)$\\\cline{3-5}
    \end{tabular}
  \end{table}
  
\end{questions}


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