old-example.tex

\documentclass[12pt]{article}

\oddsidemargin=.46cm    
\textwidth=15cm
\textheight=232mm
\topmargin=-.2cm       

\input{gamesty}  %  defines the bimatrixgame macro
\usepackage{mathptmx}  % italics fonts text and maths
\pagestyle{empty}  % no page numbers
\parindent0pt
\begin{document}

{\Large Illustration of the \verb.\bimatrixgame. macro}

\vskip2ex

Example: $2\times 3$ game with typical strategy names;
note $-1$ written as \verb.{$-1$}., not needed for single 
integer payoffs which can even miss surrounding \verb.{ }..
For the whole game, surrounding \verb.\[ \]. gives displayed
equation.  Slightly larger boxes (5mm instead of 4mm).

\[
\bimatrixgame{5mm}{2}{3}{I}{II}%
{{T}{B}}%
{{l}{c}{r}}
{
\payoffpairs{1}{012}{42{$-1$}}
\payoffpairs{2}{301}{132}
}
\]

\vfill
Example: $4\times 6$ game with strategy names referring to
game tree, and boxes around best-response payoffs.
Naked display without surrounding \verb.\[ \]..
Note \verb.{$\frac{1}{2}$}.\,.

\bimatrixgame{4mm}{4}{6}{I}{II}%
{{$X*$}{$Y*$}{$ZP$}{$ZQ$}}%
{{$ad$}{$ae$}{$bd$}{$be$}{$cd$}{$ce$}}
{
\payoffpairs{1}{{\fbox 3}3{\fbox 2}2{\fbox 4}{\fbox 4}}{44{\fbox 5}{\fbox 5}{\fbox 5}{\fbox 5}}
\payoffpairs{2}{22{\fbox 2}222}{{\fbox 3}{\fbox 3}{\fbox 3}{\fbox 3}{\fbox 3}{\fbox 3}}
\payoffpairs{3}{{$\frac{1}{2}$}01010}{3{\fbox 5}3{\fbox 5}3{\fbox 5}} \payoffpairs{4}{1{\fbox 4}1{\fbox 4}1{\fbox 4}}{{\fbox 3}2{\fbox 3}2{\fbox 3}2}
}

\vfill
Example: zero-sum game 

\[
\bimatrixgame{3.7mm}{2}{2}{Max}{min}%
{{$R_L$}{$F_L$}}%
{{$m_M$}{$p_M$}}%
{
\singlepayoffs{1}{{$-1/3$}{0}}
\singlepayoffs{2}{{0}{$-1/6$}}
}
\]

\end{document}