Kdtyjb

I am relatively new to latex and work in overleaf(not sure if that helps?). I am trying to create a game tree. I currently have a few problems.

1. I am not sure how to specify the size of the node (so that it is small enough to look like a node and not a huge circle).




2. I wanted to take the "Nature", "P1", "P2", and so on into circles (hallow).




3. I am not sure how to write the numbers in terminal nodes in columns rather than rows, and command doesn't help.




4. I would really like to tilt the second, 3rd and 4th level edges of the trees, the long ones, that lead to the last 2 "P2"s, so that the latters are closer to each other, but I don't seem to find a way to do this.




5. Is there a way to make a particular edge thicker or double it instead of colouring?

Thanks in advance.

Here is what I have so far:

documentclass[11pt]{article}

usepackage[utf8]{inputenc}

usepackage{multirow}

usepackage[margin=1in]{geometry} 

usepackage{amsmath,amsthm,amssymb,amsfonts}

 usepackage{tikz}   %for game theory stuff

usetikzlibrary{calc}





newcommand{overbar}[1]{mkern 1.5muoverline{mkern-1.5mu#1mkern-1.5mu}mkern 1.5mu}



newenvironment{problem}[2][Problem]{begin{trivlist}

item[hskip labelsep {bfseries #1}hskip labelsep {bfseries #2.}]}{end{trivlist}}





title{Math 350 \ Homework 4}

author{Elen Khachatran}

datetoday





begin{document}

maketitle





begin{figure}

    centering

    caption{Caption}



    begin{tikzpicture}[scale=1,font=footnotesize]

tikzstyle{solid node}=[circle,draw,inner sep=1.2,fill=black];

    tikzstyle{hollow node}=[circle,draw,inner sep=1.2];

tikzstyle{level 1}=[level distance=30mm,sibling distance=30mm]

tikzstyle{level 2}=[level distance=25mm,sibling distance=10mm]

tikzstyle{level 3}=[level distance=20mm,sibling distance=10mm]

tikzstyle{level 4}=[level distance=20mm,sibling distance=50mm]

tikzstyle{level 5}=[level distance=28mm,sibling distance=25mm]

 tikzstyle{level 6}=[level distance=28mm,sibling distance=50mm]   

    node {Nature}

    child {node (1){P1} 

      child {node (7){$-1, 1$}

            edge from parent 

  node[left, pos=0.6, xshift=-2] {c}

            }

    child {

    child{ 

    child{node(8)[right, pos=0.6, xshift=-5]{P2} 

    child {node(27){$1,-1$}

    edge from parent 

  node[right, pos=0.6, xshift=-15] {f}}

    child {node (28){$-2,2$}

    edge from parent 

  node[right, pos=0.6, xshift=2] {c}}}

    edge from parent 

  node[right, pos=0.6, xshift=2] {r}}

    } 

  edge from parent 

  node[left, pos=0.6, xshift=-5] {$JQK$}

  node[left, pos=0.2, xshift=-5] {$ p_1 $}

  }

    child {node (2){P1} 

        child {node (9){$-1, 1$}

            edge from parent 

  node[right, pos=0.6, xshift=-15] {c}}

        child {node(10){P2} 

            child {node (19){$1,-1$} 

            edge from parent 

  node[right, pos=0.6, xshift=-15] {f}}

            child {node (20){$-2,2$}

            edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

            edge from parent 

  node[right, pos=0.6, xshift=2] {r}}

  edge from parent 

  node[right, pos=0.6, xshift=-5] {$JKQ$}

  node[right, pos=0.2, xshift=-5] {$p$}

  }

   child {node (3){P1} 

      child {node (11){P2}

            child {node (21){$1,-1$}

            edge from parent 

  node[right, pos=0.6, xshift=-12] {f}}

            child {node (22){$-2,2$}

            edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

            edge from parent 

  node[right, pos=0.6, xshift=-15] {r}}

    child {node(12){$-1,1$} 

    edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

  edge from parent 

  node[right, pos=0.6, xshift=-5] {$QKJ$}

  node[right, pos=0.2, xshift=-5] {$p$}

  } 

   child {node (4){P1} 

      child {node (13){$1,-1$}

            edge from parent 

  node[right, pos=0.6, xshift=-15] {c}

            }

    child {node(14){P2} 

            child {node (23) {$1,-1$}

            edge from parent 

  node[right, pos=0.6, xshift=-15] {f}}

            child {node (24) {$2,-2$}

            edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

            edge from parent 

  node[right, pos=0.6, xshift=2] {r}}

  edge from parent 

  node[right, pos=0.6, xshift=-5] {$QJK$}

  node[right, pos=0.2, xshift=-5] {$ p$}

  } 

   child {node (5){P1} 

      child {node (15){P2}

            child {node (25) {$1,-1$}

            edge from parent 

  node[right, pos=0.6, xshift=-15] {f}}

            child {node (26) {$2,-2$}

            edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

            edge from parent 

  node[right, pos=0.6, xshift=-15] {r}}

    child {node(16){$1,-1$} 

    edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

  edge from parent 

  node[right, pos=0.6, xshift=-5] {$KJQ$}

  node[right, pos=0.2, xshift=-5] {$p$}

  } 

   child {node (6){P1} 

      child{

      child{

      child {node (17){P2}

            child {node (27)[solid node]{$1,-1$}

            edge from parent 

  node[right, pos=0.6, xshift=-15] {r}}

            child {node{$2,-2$}

            edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

            }edge from parent 

  node[right, pos=0.6, xshift=-15] {r}}}

    child {node(18){$1,-1$} 

    edge from parent 

  node[right, pos=0.6, xshift=2] {c}}

  edge from parent 

  node[right, pos=0.6, xshift=-5] {$KQJ$}

  node[right, pos=0.2, xshift=-5] {$p$}

  }; 

draw[dashed,-] (1) -- (2);    

 draw[dashed,-] (3) -- (4);

 draw[dashed,-] (5) -- (6);

  draw[dashed,-] (10) -- (11);  

  draw[dashed,-] (14) -- (15);      

  draw[dashed,-] (8) -- (17);    



    end{tikzpicture}

end{figure}



end{document}