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authorKarl Berry <karl@freefriends.org>2006-09-24 13:21:51 +0000
committerKarl Berry <karl@freefriends.org>2006-09-24 13:21:51 +0000
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+%
+%
+%
+\documentclass[12pt]{article}
+\usepackage{mjoarti}
+\usepackage{mathpazo}
+\usepackage{pstricks}
+\usepackage{pstcol,pst-mjo}
+\usepackage{sgame}
+\usepackage{url}
+\begin{document}
+
+\renewcommand{\descriptionlabel}[1]{\hspace\labelsep
+ \normalfont #1\phantom{.}}
+
+\begin{center}
+{\bfseries Manual for {\tt sgame.sty} and {\tt sgamevar.sty}}\\
+by\\
+Martin J. Osborne\\
+{\tt Martin.Osborne@utoronto.ca}\\
+For Version 2.13, 2005/7/8
+\end{center}
+
+{\sloppy
+\section{Introduction}
+{\tt sgame.sty} and {\tt sgamevar.sty} are \LaTeXe\ style files for drawing
+strategic games. The latest versions are available at
+\url{http://www.economics.utoronto.ca/osborne/latex}. The styles are
+incompatible with \texttt{array.sty} (and hence any package, like
+\texttt{jurabib.sty}, that loads \texttt{array.sty}). Please notify me of
+bugs.
+\section{sgame.sty versus sgamevar.sty}
+\verb+sgame.sty+ and \verb+sgamevar.sty+ differ in two respects.
+\begin{itemize}
+ \item The character that ``tabs'' to a new column is \verb+&+ in
+\verb+sgame.sty+ and \verb+\>+ in \verb+sgamevar.sty+. In every other respect
+the syntax is identical. This manual applies to \verb+sgame.sty+. If you are
+using \verb+sgamevar.sty+, replace every occurrence of \verb+&+ with
+\verb+\>+.
+ \item \verb+sgame.sty+ produces a \verb+game+ environment that cannot be
+used as an argument of a macro, whereas \verb+sgamevar.sty+ does not have this
+limitation. You need to use \verb+sgamevar.sty+, for example, to be able to
+make a \verb+game+ environment an argument of TeXPower's \verb+\stepwise+
+macro.
+\end{itemize}
+
+(I prefer the \verb+&+ syntax, but have been unable to find a way of
+implementing it without changing the \verb+\catcode+ of \verb+&+, which
+prevents a \verb+game+ environment from being the argument of a macro.)
+\section{Installation}
+\begin{itemize}
+ \item Put \texttt{sgame.sty} (and/or \texttt{sgamevar.sty}) in a directory
+from which \TeX\ reads input files. (In MiKTeX the directory might be
+something like \verb+\miktex\localtexmf\tex\latex\+ or a subdirectory
+thereof.)
+ \item Let \TeX\ know that \texttt{sgame} and/or \texttt{sgamevar} have
+arrived. (In MiKTeX, ``refresh the filename database''.)
+ \item Check that you have the \verb+color+ package. One way to check is to
+put \verb+\usepackage{color}+ in the preamble of a document and see if you get
+an error. If you don't have the package, get it from CTAN.
+ \item To use the package in a document, put the lines
+\verb+\usepackage{sgame}+ (or \verb+\usepackage{sgamevar}+) and
+\verb+\usepackage{color}+ (or \verb+\usepackage{pstcol}+, part of PSTricks,
+which loads \verb+color+) in the preamble.
+ \item The style is incompatible with \verb+colortbl.sty+.
+\end{itemize}
+\section{Description}
+The style defines two environments, \verb+game+ and \verb+game*+. Each
+environment can be used in four ways, depending on the values of its optional
+arguments. In each case, the starred version differs from the unstarred
+versionin that action labels are not accommodated.
+\subsection{No optional argument}
+Without any optional arguments, its syntax is\vspace*{4mm}\newline
+\verb+\begin{game}{+\emph{number-of-rows}%
+\verb+}{+\emph{number-of-columns}\verb+}+\emph{game-body}%
+\verb+\end{game}+\vspace*{4mm}\newline
+where \emph{number-of-rows} is the number of rows in the game and
+\emph{number-of-columns} is the number of columns. \emph{game-body} consists
+of rows in the style of the rows in a \verb+tabular+ environment, \verb+&+
+``tabbing'' to a new cell, and \verb+\\+ ending a row.
+
+The following example is illustrated in Figure~\ref{f:ex1}.
+
+\begin{verbatim}
+\def\sgtextcolor{blue}%
+\def\sglinecolor{red}%
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{2}
+ & $L$ & $R$\\
+$T$ &$2,2$ &$100,35$\\
+$B$ &$3,0$ &$350,16$
+\end{game}\hspace*{\fill}%
+\begin{game*}{2}{2}
+$2,2$ &$100,35$\\
+$3,0$ &$350,16$
+\end{game*}\hspace*{\fill}%
+\caption[]{A two row, two column strategic game, with and without
+action labels.}
+\end{figure}
+\end{verbatim}
+
+\def\sgtextcolor{blue}%
+\def\sglinecolor{red}%
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$2,2$&$100,35$\\
+$B$&$3,0$&$350,16$
+\end{game}\hspace*{\fill}%
+\begin{game*}{2}{2}
+$2,2$&$100,35$\\
+$3,0$&$350,16$
+\end{game*}\hspace*{\fill}%
+\caption[]{A two row, two column strategic game, with and without action
+labels.}\label{f:ex1}
+\end{figure}
+\begin{itemize}
+ \item Note that the width of every column is the same. Further, the
+content of each cell of the table is centered vertically.
+ \item As in a \LaTeXe\ \verb+tabular+ environment, spaces on either side of
+the text in each cell is ignored. (Thus in the \verb+tex+ file you can, if
+you wish, align the columns using spaces or tabs.)
+ \item The first \verb+&+ {\bfseries must} be preceded by a space token
+(space or carriage return). (It may not immediately follow the closing brace
+of the second argument.)
+ \item If all the text in every cell of the payoff matrix is in math mode,
+you can avoid typing all the \verb+$+'s by setting \verb+\gamemathtrue+,
+either by putting this command in your file, or by changing
+\verb+\gamemathfalse+ to \verb+\gamemathtrue+ in the style file. Under this
+setting, all text in every cell of the payoff matrix is automatically in math
+mode. (Note that even if the text in the cells consists only of
+comma-separated pairs of numbers, it should still be in math mode, else the
+spacing is not correct.)
+\end{itemize}
+\subsection{One optional argument: game label}
+With one optional argument, the syntax of the \verb+game+ environment
+is\vspace*{4mm}\newline
+\verb+\begin{game}{+\emph{number-of-rows}%
+\verb+}{+\emph{number-of-columns}\verb+}[+\emph{game-label}%
+\verb+]+\emph{game-body}\newline\verb+\end{game}+\vspace*{4mm}\newline
+where \emph{number-of-rows} is the number of rows in the game,
+\emph{number-of-columns} is the number of columns, and \emph{game-label} is a
+label for the game that is centered beneath the game. (The sense in which it
+is centered may be changed by setting \verb+\irpawcgltrue+ or
+\verb+\irplwcgltrue+---see Section~\ref{s:param}.) This case is useful if two
+or more games are positioned side-by-side, and each requires a label.
+
+The following example is illustrative.
+
+\begin{verbatim}
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{2}[$A$]
+ & $L$ & $R$\\
+$a$ &$2,2$ &$0,3$\\
+$b$ &$3,0$ &$1,1$
+\end{game}\hspace*{20mm}%
+\begin{game}{2}{2}[$B$]
+ & $L$ & $R$\\
+$a$ &$2,3$ &$0,4$\\
+$b$ &$3,1$ &$1,2$
+\end{game}\hspace*{\fill}%
+\caption[]{A three player strategic game, in which
+player~3 chooses $A$ or $B$.}
+\end{figure}
+\end{verbatim}
+
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{2}[$A$]
+ & $L$ & $R$\\
+$a$ &$2,2$ &$0,3$\\
+$b$ &$3,0$ &$1,1$
+\end{game}\hspace*{20mm}%
+\begin{game}{2}{2}[$B$]
+ & $L$ & $R$\\
+$a$ &$2,3$ &$0,4$\\
+$b$ &$3,1$ &$1,2$
+\end{game}\hspace*{\fill}%
+\caption[]{A three player strategic game, in which player~3 chooses $A$ or
+$B$.}\label{f:ex2}
+\end{figure}
+\subsection{Two optional arguments: player labels}
+In the case of two optional arguments, the syntax of the \verb+game+
+environment is\vspace*{4mm}\newline
+\verb+\begin{game}{+\emph{number-of-rows}%
+\verb+}{+\emph{number-of-columns}\verb+}[+\emph{row-player-label}%
+\verb+]+\newline
+\verb+[+\emph{column-player-label}%
+\verb+]+\emph{game-body}\verb+\end{game}+\vspace*{4mm}\newline
+where \emph{number-of-rows} is the number of rows in the game,
+\emph{number-of-columns} is the number of columns, and \emph{row-player-label}
+and \emph{column-player-label} are the names of the players.
+
+The following example illustrates this case.
+
+\begin{verbatim}
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{3}[Player~1][Player~2]
+ & $L$ & $M$ & $R$\\
+$T$ &$2,2$ &$2,0$ &$0,3$\\
+$B$ &$3,0$ &$0,9$ &$1,1$
+\end{game}\hspace*{\fill}%
+\caption[]{A two row, three column strategic game with
+player labels.}
+\end{figure}
+\end{verbatim}
+
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{3}[Player~1][Player~2]
+&$L$&$M$&$R$\\
+$T$&$2,2$&$2,0$&$0,3$\\
+$B$&$3,0$&$0,9$&$1,1$
+\end{game}\hspace*{\fill}%
+\caption[]{A two row, three column strategic game with player
+labels.}\label{f:ex3}
+\end{figure}
+\subsection{Three optional arguments: player labels and game label}
+The case of three optional arguments combines the two previous cases: the
+syntax of the \verb+game+ environment is\vspace*{4mm}\newline
+\verb+\begin{game}{+\emph{number-of-rows}%
+\verb+}{+\emph{number-of-columns}\verb+}[+\emph{row-player-label}%
+\verb+]+\newline
+\verb+[+\emph{column-player-label}%
+\verb+][+\emph{game-label}\verb+]+\emph{game-body}\verb+\end{game}+\vspace*{4m%
+m}\newline
+where \emph{number-of-rows} is the number of rows in the game,
+\emph{number-of-columns} is the number of columns, \emph{row-player-label} and
+\emph{column-player-label} are the names of the players, and \emph{game-label}
+is a label for the game.
+
+The following example illustrates this case.
+
+\begin{verbatim}
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{3}[Player~1][Player~2][$A$]
+ & $L$ & $M$ & $R$\\
+$T$ &$2,2$ &$2,0$ &$0,3$\\
+$B$ &$3,0$ &$0,9$ &$1,1$
+\end{game}\hspace*{\fill}%
+\caption[]{A two row, three column strategic game with
+player labels and a label.}
+\end{figure}
+\end{verbatim}
+
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{3}[Player~1][Player~2][$A$]
+&$L$&$M$&$R$\\
+$T$&$2,2$&$2,0$&$0,3$\\
+$B$&$3,0$&$0,9$&$1,1$
+\end{game}\hspace*{\fill}%
+\caption[]{A two row, three column strategic game with player labels and a
+label.}\label{f:ex4}
+\end{figure}
+\section{Cell formatting}
+You may regard the format of the payoffs in the first column of the game in
+Figure~\ref{f:ex5} as unsatisfactory, and the formatting in the left panel of
+Figure~\ref{f:ex6} as superior. This latter formatting is implemented by
+adding ``phantom'' minus signs before the ``2'' in the top left cell and
+before the ``3'' in the bottom left cell. The top left cell, for example, is
+entered as \verb+$-2,\phantom{-}2$+. (\verb+\phantom{<x>}+ leaves a space
+whose size is equal to the size of the object \verb+<x>+.)
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$-2,2$&$0,3$\\
+$B$&$3,-4$&$1,1$
+\end{game}\hspace*{\fill}%
+\caption[]{A strategic game.}\label{f:ex5}
+\end{figure}
+
+You may want to consider other formats. The right panel of Figure~\ref{f:ex6}
+shows an alternative. This format is achieved be entering the element of each
+cell as
+\begin{quote}
+\verb+\begin{array}{c}#1\\[1.6mm]#2\end{array}+,
+\end{quote}
+where \verb+#1+ is player~1's payoff and \verb+#2+ is player~2's payoff.
+(Actually, I defined the macro
+\begin{quotation}
+\verb+\def\stackedpayoffs#1#2{%+
+
+\verb+ \begin{array}{c}#1\\[1.6mm]#2\end{array}+
+
+\verb+}+
+\end{quotation}
+and entered each element as \verb+\stackedpayoffs{#1}{#2}+. I set
+\verb+\gamestretch+ to be 2.1 to improve the appearance of the game.)%
+\def\stackedpayoffs#1#2{\begin{array}{c}#1\\[1.6mm]#2\end{array}}
+\begin{figure}[htb]\hspace*{\fill}%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$-2,\phantom{-}2$&$0,3$\\
+$B$&$\phantom{-}3,-4$&$1,1$
+\end{game}\hspace*{\fill}%
+\renewcommand{\gamestretch}{2.1}%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$\stackedpayoffs{-2}{2}$&$\stackedpayoffs{0}{3}$\\
+$B$&$\stackedpayoffs{3}{-4}$&$\stackedpayoffs{1}{1}$
+\end{game}\hspace*{\fill}%
+\caption[]{Two alternative presentations of the game in
+Figure~\protect\ref{f:ex5}.}\label{f:ex6}
+\end{figure}
+
+Figure~\ref{f:ex7} shows two more alternatives. The one on the left is
+achieved by entering the element of each cell as
+\begin{quote}
+\verb+\begin{array}{rl}#1&\\[1.6mm]&#2\end{array}+,
+\end{quote}
+and the one on the left differs only in that there is a \verb+\phantom{-}+ in
+front of player~2's payoff in the top left cell, player~1's payoff in the
+bottom left cell, and player~2's payoffs in both of the right cells.%
+\def\binmorepayoffs#1#2{\begin{array}{rl}#1&\\[1.6mm]&#2\end{array}}
+\begin{figure}[htb]\hspace*{\fill}%
+\renewcommand{\gamestretch}{2.1}%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$\binmorepayoffs{-2}{2}$&$\binmorepayoffs{0}{3}$\\
+$B$&$\binmorepayoffs{3}{-4}$&$\binmorepayoffs{1}{1}$
+\end{game}\hspace*{\fill}%
+
+\vspace*{4mm}
+
+\hspace*{\fill}%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$\binmorepayoffs{-2}{\phantom{-}2}$& $\binmorepayoffs{0}{\phantom{-}3}$\\
+$B$&$\binmorepayoffs{\phantom{-}3}{-4}$& $\binmorepayoffs{1}{\phantom{-}1}$
+\end{game}\hspace*{\fill}%
+\caption[]{Two additional presentations of the game in
+Figure~\protect\ref{f:ex5}.}\label{f:ex7}
+\end{figure}
+\section{Vertical position of text within cells}\label{s:VertPos}
+The vertical distance between the lines at the top and bottom of a row in
+\LaTeX's \verb+tabular+ environment is equal to \verb+\arraystretch+ times
+\verb+\baselineskip+. The baseline of the text in each cell is placed 30\% of
+the distance from the bottom line. Thus if \verb+\arraystretch+ is large
+relative to the height of the text, the text is not near the middle of the
+row. (See the left panel of Figure~\ref{f:VertPos}; or try setting
+\verb+\arraystretch+ equal to 5 and process a document with a \verb+tabular+
+environment.) (See the definitions of \verb+\strutbox+ and of \verb+\@array+
+in \verb+latex.ltx+.)
+
+\verb+sgame.sty+ makes the vertical distance between the lines at the top and
+bottom of a row of a \verb+game+ the same (\verb+\arraystretch+ times
+\verb+\baselineskip+), but places the baseline of the text in each cell so
+that the distances above and below an upper case I placed on the baseline are
+equal. (See the right panel of Figure~\ref{f:VertPos}.) (If you'd like to
+use another character, define this character to be \verb+\sg@alignchar+.)
+\begin{figure}[htb]
+\hspace*{\fill}
+\begin{pspicture}(80,55)
+\psline(0,5)(30,5)
+\psline(0,55)(30,55)
+\psline[linecolor=lightgray](0,20)(30,20)
+\rput[B](15,20){\fontsize{14mm}{10mm}\selectfont AygIx}
+\psline[linecolor=lightgray]{<->}(15,5)(15,20)
+\rput*(15,12.5){$0.3d$}
+\psline[linecolor=lightgray]{<->}(15,20)(15,55)
+\rput*(15,37.5){$0.7d$}
+\rput[B](15,0){\texttt{tabular} environment}
+%
+\psline[linecolor=lightgray]{<->}(40,5)(40,55)
+\rput*(40,30){$d$}
+%
+\psline(50,5)(80,5)
+\psline(50,55)(80,55)
+\psline[linecolor=lightgray](50,25)(80,25)
+\psline[linecolor=lightgray](50,35)(80,35)
+\rput[B](65,25){\fontsize{14mm}{10mm}\selectfont AygIx}
+\psline[linecolor=lightgray]{<->}(65,5)(65,25)
+\rput*(65,15){$x$}
+\psline[linecolor=lightgray]{<->}(65,35)(65,55)
+\rput*(65,45){$x$}
+\rput[B](65,0){\texttt{game} environment}
+\end{pspicture}
+\hspace*{\fill}
+\caption[]{Vertical positioning of text within cells in the \texttt{tabular}
+and \texttt{game} environments.}\label{f:VertPos}
+\end{figure}
+
+If you want to use \verb+sgame+'s vertical positioning in your \verb+tabular+
+environments, as well as your \verb+game+ environments, set
+\verb+\gamevaligntrue+ before the environment. (If you want to switch back at
+some point, you can do so by setting \verb+\gamevalignfalse+.)
+
+If the height of the text in a cell exceeds \verb+\arraystretch+ times
+\verb+\baselineskip+, then the height of the row is increased to accommodate
+the text (just as the distance between lines of text is increased to
+accommodate large text). The result is that the lines at the top and bottom
+of the row touch the top and bottom of the text, and this row is taller than
+the others. To improve the appearance of the table you may want to increase
+\verb+\gamestretch+ (analogous to \verb+\arraystretch+), to put some white
+space above and below your oversized text.
+
+When \verb+\gamestretch+ is increased from 1, the height of \emph{every} row,
+including the first row (the action labels), is increased. If you don't want
+to increase the space under the action labels, declare \verb+\ssualfalse+.
+(``ssual'' stands for ``stretch space under action labels''.) See
+Figures~\ref{f:ssual1} and \ref{f:ssual2} for examples (for games with and
+without player labels).%
+\begin{figure}[htb]\hspace*{\fill}\renewcommand{\gamestretch}{3}%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$2,1$&$2,2$\\
+$B$&$3,3$&$4,4$
+\end{game}%
+\hspace*{\fill}%
+\ssualfalse%
+\begin{game}{2}{2}
+&$L$&$R$\\
+$T$&$2,1$&$2,2$\\
+$B$&$3,3$&$4,4$
+\end{game}%
+\hspace*{\fill}%
+\caption[]{Positioning the action labels of the column player when
+\texttt{gamestretch} is larger than 1, for a game without player labels. In
+the left game we have \texttt{ssualtrue} (the default); in the right game
+\texttt{ssualfalse} is declared.}\label{f:ssual2}
+\end{figure}
+\begin{figure}[htb]\hspace*{\fill}\renewcommand{\gamestretch}{3}%
+\begin{game}{2}{2}[Player 1][Player 2]
+&$L$&$R$\\
+$T$&$2,1$&$2,2$\\
+$B$&$3,3$&$4,4$
+\end{game}%
+\hspace*{\fill}%
+\ssualfalse%
+\begin{game}{2}{2}[Player 1][Player 2]
+&$L$&$R$\\
+$T$&$2,1$&$2,2$\\
+$B$&$3,3$&$4,4$
+\end{game}%
+\hspace*{\fill}%
+\caption[]{Positioning the action labels of the column player when
+\texttt{gamestretch} is larger than 1, for a game with player labels. In the
+left game we have \texttt{ssualtrue} (the default); in the right game
+\texttt{ssualfalse} is declared.}\label{f:ssual1}
+\end{figure}
+\section{Parameters}\label{s:param}
+\verb+\gamestretch+: a number that controls the spacing between rows,
+analogous to \verb+\arraystretch+. Possible values: positive real numbers.
+Default: value of \verb+\arraystretch+ when \verb+sgame.sty+ is loaded (1 in
+standard styles). Example: \verb+\renewcommand{\gamestretch}{2}+.
+
+\vspace{4mm}
+
+\noindent\verb+\sgcolsep+: horizontal padding within cells. Possible values:
+any dimension. Default: value of \verb+\tabcolsep+ when \verb+sgame.sty+ is
+loaded. Example: \verb+\sgcolsep=10pt+.
+
+\vspace{4mm}
+
+\noindent\verb+\sglabelsep+: vertical space between game and label. Possible
+values: any dimension. Default: 5pt. Example: \verb+\sglabelsep=10pt+.
+
+\vspace{4mm}
+
+\noindent\verb+\irpawcgltrue+ (``include row player actions when centering
+game label''): causes game label to be centered under box consisting of row
+player actions and payoff matrix. Default: \verb+\irpawcglfalse+ (i.e.\ game
+label is centered under box consisting only of payoff matrix). Example:
+\verb+\irpawcgltrue+.
+
+\vspace{4mm}
+
+\noindent\verb+\irplwcgltrue+ (``include row player label when centering game
+label''): causes game label to be centered under box consisting of row player
+label, row player actions, and payoff matrix. (Is overridden by
+\verb+\irpawcgltrue+.) Default: \verb+\irplwcglfalse+ (i.e.\ game label is
+centered under payoff matrix). Example: \verb+\irplwcgltrue+.
+
+\vspace{4mm}
+
+\noindent\verb+\gamemathtrue+: put all text in cells in payoff matrix in math
+mode. Default: \verb+\gamemathfalse+. Example: \verb+\gamemathtrue+.
+
+\vspace{4mm}
+
+\noindent\verb+\gamevaligntrue+: vertically align the text within cells of a
+\verb+tabular+ environment as they are aligned in a \verb+game+ environment.
+Default: \verb+\gamevalignfalse+. Example: \verb+\gamevaligntrue+. (See
+Section~\ref{s:VertPos}.)
+
+\vspace{4mm}
+
+\noindent\verb+\ssualtrue+: stretch space under action labels when
+\verb+\gamestretch+ is greater than 1. Default: \verb+\ssualtrue+. Example:
+\verb+\ssualfalse+. (See Section~\ref{s:VertPos}.)
+
+\vspace{4mm}
+
+\noindent\verb+\sglinecolor+: color of lines around payoffs. Default:
+\verb+black+. Example: \verb+\def\sglinecolor{lightgray}+.
+
+\vspace{4mm}
+
+\noindent\verb+\sgtextcolor+: color of text in game (action labels, payoffs,
+player labels). Default: \verb+black+. Example:
+\verb+\def\sgtextcolor{blue}+.
+\section{History}
+\subsection*{Version 1}
+\begin{description}
+\item[1993/12] First version.
+\end{description}
+\subsection*{Version 2}
+\begin{description}
+\item[1997/10] Labels allowed (via additional optional argument). Parameters
+added: \verb+\sglabelsep+, \verb+\sgcolsep+, \verb+\irplwcgltrue+,
+\verb+\irpawcgltrue+, and \verb+\gamemathtrue+.
+\item[2002/6 (version 2.1)] Modification of \LaTeX's \verb+\@array+ changed so
+that it does not change spacing in \verb+tabular+ environment. Color
+functionality added. Parameters added: \verb+\gamevaligntrue+,
+\verb+\ssualtrue+ (allowing more control over vertical spacing when
+\verb+\gamestretch+ is greater than 1), \verb+\sglinecolor+,
+\verb+\sgtextcolor+.
+\item[2004/5/13 (version 2.11)] Minor bug fix.
+\item[2004/5/21 (version 2.12)] Minor bug fix.
+\item[2005/7/8 (version 2.13)] Minor bug fix.
+\end{description}
+
+}
+
+\end{document}
+