\documentclass[12pt]{exam}
\usepackage{amsmath, amsthm, amssymb}
\usepackage{fullpage, paralist}
\usepackage{subfig}
\usepackage{graphicx}
\usepackage{enumerate}
\usepackage{enumitem}
\usepackage{multirow,array}


\newcommand{\Z}{{\mathbb Z}}
\newcommand{\Q}{{\mathbb Q}}
\newcommand{\R}{{\mathbb R}}
\newcommand{\C}{{\mathbb C}}

\newcommand{\A}{{\mathcal A}}
\newcommand{\I}{{\mathcal I}}


\newcommand{\ds}{\displaystyle}
\newcommand{\la}{\langle}
\newcommand{\ra}{\rangle}
\newtheorem{thm}{Theorem}[section]

\theoremstyle{remark}
\newtheorem*{nnremark}{Remark}

\printanswers
%\noprintanswers
\unframedsolutions


\begin{document}

\parskip=\medskipamount \thispagestyle{empty}


\centerline{Math 36 --- Daily Homework}

\centerline{Assigned: 10/1} 

\centerline{Due: 10/4}
  

\begin{questions}

\question 

For the following payoff matrices, determine the population dynamics (identify all equilibrium points, the stability of the equilibrium points, and how the population changes between equilibrium points).


\begin{enumerate}[label = (\alph*)]
\item \hspace{0.2 in}
  \begin{table}[h]
    \setlength{\extrarowheight}{2pt}
    \begin{tabular}{cc|c|c|}
      & \multicolumn{1}{c}{} & \multicolumn{2}{c}{Player $2$}\\
      & \multicolumn{1}{c}{} & \multicolumn{1}{c}{$A$}  & \multicolumn{1}{c}{$B$} \\\cline{3-4}
      \multirow{2}*{Player $1$}  & $A$ & $1$ & $0$ \\\cline{3-4}
      & $B$ & $0$ & $1$ \\\cline{3-4}
    \end{tabular}
  \end{table}
\item \hspace{0.2 in}
  \begin{table}[h]
    \setlength{\extrarowheight}{2pt}
    \begin{tabular}{cc|c|c|}
      & \multicolumn{1}{c}{} & \multicolumn{2}{c}{Player $2$}\\
      & \multicolumn{1}{c}{} & \multicolumn{1}{c}{$A$}  & \multicolumn{1}{c}{$B$} \\\cline{3-4}
      \multirow{2}*{Player $1$}  & $A$ & $0$ & $1$ \\\cline{3-4}
      & $B$ & $1$ & $0$ \\\cline{3-4}
    \end{tabular}
  \end{table}
\item\hspace{0.2 in}
  \begin{table}[h]
    \setlength{\extrarowheight}{2pt}
    \begin{tabular}{cc|c|c|}
      & \multicolumn{1}{c}{} & \multicolumn{2}{c}{Player $2$}\\
      & \multicolumn{1}{c}{} & \multicolumn{1}{c}{$A$}  & \multicolumn{1}{c}{$B$} \\\cline{3-4}
      \multirow{2}*{Player $1$}  & $A$ & $2$ & $0$ \\\cline{3-4}
      & $B$ & $0$ & $1$ \\\cline{3-4}
    \end{tabular}
  \end{table}
\end{enumerate}


\end{questions}


\end{document}







%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End: