Standalone not getting the figure size right with pstricks! (MWE + Explanation included)

Question

I am currently typesetting a relatively long document (around 170 pages); and to avoid slowing down compilation, I am generating the figures externally and I am including them in the main tex file as pdfs via includegraphics. So far, I have had no major troubles compiling the figures, but I do when I draw the trees. Namely, when drawing the trees, standalone does not respect at all the real size of the figure. Before explaining my issue further, let me show you a figure that illustrates my problem:

This is a MWE that reproduces my problem:

\documentclass[]{standalone}
\usepackage{tikz} % To plot almost everything.
\usepackage{pstricks,pst-node,egameps} % To get extensive form games. 

\begin{document}
\begin{egame}(0,350)
\putbranch(100,340)(2,1){200}
\iib{$1$}[o]{$D$}{$A$}[c][$1,1$][]
\putbranch(300,240)(2,1){200}
\iib{$2$}[o]{$D$}{$A$}[c][$0,3$][]
\putbranch(500,140)(2,1){200}
\iib{$1$}[o]{$D$}{$A$}[c][$2,2$][]
\putbranch(700,40)(2,1){200}
\iib{$2$}[o]{$D$}{$A$}[c][$1,4$][]
\putbranch(900,-60)(2,1){200}
\iib{$1$}[o]{$D$}{$A$}[c][$3,3$][$...$]
\putbranch(1100,-210)(2,1){200}
\iib{$1$}[o]{$D$}{$A$}[c][$99,99$][]
\putbranch(1300,-310)(2,1){200}
\iib{$2$}[o]{$D$}{$A$}[c][$98,101$][$100,100$]
\end{egame}
\end{document}

I am drawing the trees using the egameps package (full documentation here: https://www.economics.utoronto.ca/osborne/latex/egameps.pdf) because it has a simple syntax and it's the standard when typesetting Game Theory. Therefore, I DO want to stick to this package, which relies on pstricks (it can also work with pdftricks instead). The thing is that I can't get standalone to properly get the size of the tree; therefore getting incomplete trees or/and too large margins. The problem could supposedly be solved by correctly specifying the size of the tree in:

\begin{egame}(0,350)

Where (0,350) indicates a figure of 0mm width and 350mm height. However, I am absolutely unable to compute the correct size of the tree. Could anybody help me specify the correct size of the tree? I need a way to compute the correct size because I have several trees to draw and I have this problem with most of them. Therefore, manually gessing the size of this specific tree is not enough. Notice also that I have read the full package pdf twice; but no matter what I do, I never get the size right.

Alternatively, if specifying the correct size of every tree is too hard; maybe someone can provide an alternative way (via a specification in standalone?) to force standalone to get the document size right even if the tree size is wrongly specified. That would be enough for me.

Also, maybe someone knows an alternative documentclass that will not generate this issue but just the output I desire. Such a solution would also suffice for me.

Notice that compiling the figure as an article and then transforming it into eps is something I have tried and I do NOT like it because when transforming the pdf into an eps, some things (like Greek letters or other fancy stuff) change and look weird. Also, including eps into my main tex file slows down compilation a lot, and I precisely do not want that. Though I could generate the figure with article documentclass, then transforming into eps and then reverting the eps to pdf again with the correct sizes, I don't think this is a good working solution (it's to time expensive and the fancy stuff like the Greek letters would still be wrong).

If anyone can help me with this, I'd be VERY happy (I am aware that this is a very user-specific question and I am aware I might not get any answer; but I need to get this right!).

Answer 1

The code of egame is totally buggy. The internal defined pspicture has completely wrong coordinates. However, you can use instead directly the pspicture environment:

\documentclass[pstricks]{standalone}
\usepackage{pstricks,pst-node,egameps} % To get extensive form games. 

\begin{document}
\psset{unit=0.1mm}\initialtrue
\begin{pspicture}(-200,-500)(1600,400)
    \putbranch(100,340)(2,1){200}
    \iib{$1$}[o]{$D$}{$A$}[c][$1,1$][]
    \putbranch(300,240)(2,1){200}
    \iib{$2$}[o]{$D$}{$A$}[c][$0,3$][]
    \putbranch(500,140)(2,1){200}
    \iib{$1$}[o]{$D$}{$A$}[c][$2,2$][]
    \putbranch(700,40)(2,1){200}
    \iib{$2$}[o]{$D$}{$A$}[c][$1,4$][]
    \putbranch(900,-60)(2,1){200}
    \iib{$1$}[o]{$D$}{$A$}[c][$3,3$][$...$]
    \putbranch(1100,-210)(2,1){200}
    \iib{$1$}[o]{$D$}{$A$}[c][$99,99$][]
    \putbranch(1300,-310)(2,1){200}
    \iib{$2$}[o]{$D$}{$A$}[c][$98,101$][$100,100$]
\end{pspicture}
\end{document}

The internal unit is set by egame to 0.1mm, if not modified by the user. The first node starts at 100,340 with arms of 200 to the left and right. The last node is set at 1300,-310 also with arms of 200. This is the reason why I choosed for the pspicture environment at lower left coordinates (-200,-500) and upper right (1600,400). Something like \begin{egame}(0,350) is without any sense: it creates a drawing area of 0 width and 350 height.

Answer 2

Here is another solution to use the istgame package, which is based on TikZ. The istgame environment is almost the same as the tikzpicture environment. With the istgame package (basically tikz tree), you don't need to worry about finding correct coordinates. Instead, you can use \xtdistance to determine the shape of a game tree.

\documentclass[border=1pt]{standalone}

\usepackage{istgame}

\begin{document}

\begin{istgame}[scale=1]
% tree
\tikzset{oval node/.style={ellipse node,draw=none}}
\xtdistance{15mm}{50mm}
% \xtdistance{15mm}{30mm}
\istrooto(0){1}
  \istb{D}[fill=white]{1,1}
  \istb{A}[fill=white]
  \endist
\istrooto(1)(0-2){2}
  \istb{D}[fill=white]{0,3}
  \istb{A}[fill=white]
  \endist
\istrooto(2)(1-2){1}
  \istb{D}[fill=white]{2,2}
  \istb{A}[fill=white]
  \endist
\istrooto(3)(2-2){2}
  \istb{D}[fill=white]{1,4}
  \istb{A}[fill=white]
  \endist
\istrooto(4)(3-2){1}
  \istb{D}[fill=white]{3,3}
  \istb{A}[fill=white]{\dots}
  \endist
\istrooto(5)([yshift=-5mm]4-2){1}
  \istb{D}[fill=white]{99,99}
  \istb{A}[fill=white]
  \endist
\istrooto(6)(5-2){2}
  \istb{D}[fill=white]{98,101}
  \istb{A}[fill=white]{100,100}
  \endist
\end{istgame}

\end{document}