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\centerline{Math 36 --- Daily Homework}

\centerline{Assigned: 10/25} 

\centerline{Due: 10/27}
  

\begin{questions}

\question 
Consider the following asymmetric game:

  \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}
      & $A$ & $(0,0)$ & $(0,0)$ & $(1,1)$\\\cline{3-5}
      \multirow{2}*{Player $1$} & $B$ & $(3,3)$ & $(0,0)$ & $(0,0)$\\\cline{3-5}
      & $C$ & $(0,0)$ & $(2,2)$ & $(0,0)$\\\cline{3-5}
    \end{tabular}
  \end{table}
  
  
Identify all the  Nash equilibria for this game. You do not need to show your work checking all 49 possible combinations of mixed strategies. I only need to see work for the combinations that actually have Nash equilibria.
\end{questions}


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