Mrthdrb

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
usepackagemultirow
usepackage[margin=1in]geometry 
usepackageamsmath,amsthm,amssymb,amsfonts
 usepackagetikz %for game theory stuff
usetikzlibrarycalc


newcommandoverbar[1]mkern 1.5muoverlinemkern-1.5mu#1mkern-1.5mumkern 1.5mu

newenvironmentproblem[2][Problem]begintrivlist
item[hskip labelsep bfseries #1hskip labelsep bfseries #2.]endtrivlist


titleMath 350 \ Homework 4
authorElen Khachatran
datetoday


begindocument
maketitle


beginfigure
 centering
 captionCaption

 begintikzpicture[scale=1,font=footnotesize]
tikzstylesolid node=[circle,draw,inner sep=1.2,fill=black];
 tikzstylehollow node=[circle,draw,inner sep=1.2];
tikzstylelevel 1=[level distance=30mm,sibling distance=30mm]
tikzstylelevel 2=[level distance=25mm,sibling distance=10mm]
tikzstylelevel 3=[level distance=20mm,sibling distance=10mm]
tikzstylelevel 4=[level distance=20mm,sibling distance=50mm]
tikzstylelevel 5=[level distance=28mm,sibling distance=25mm]
 tikzstylelevel 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 
 childnode(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); 

 endtikzpicture
endfigure

enddocument

i try to clean-up your code and add option hn (hollow node) to nodes which are in circle. for the root node i suggest to use rectangle with rounded corners. the end nodes i wouldn't put in circle, eventually i would add gray background (in mwe below it is showed for last two end nodes). if you liked such solution, you only need to add node style gn (gray node) to all end nodes.

since the tree is very wide, i reduce page borders to 20 mm. i also remove from preamble all what is not related to tree diagram.

documentclass[11pt]article
usepackage[margin=20mm]geometry
usepackage[skip=1ex]caption
usepackagetikz %for game theory stuff

%---------------- show page layout. don't use in a real document!
usepackageshowframe
renewcommandShowFrameLinethickness0.15pt
renewcommand*ShowFrameColorcolorred
%---------------------------------------------------------------%

begindocument

beginfigure
 centering
 captionCaption

 begintikzpicture[
 font = footnotesize,
 hn/.style = circle, draw,
 gn/.style = rounded corners, fill=gray!20, inner xsep=2pt,
level 1/.style = level distance = 30mm,sibling distance=31mm,
level 2/.style = level distance = 20mm,sibling distance=10mm,
level 4/.style = level distance = 5mm,
level 5/.style = level distance = 20mm
 ]
node[draw, rounded corners] Nature
 child node (1) [hn] P1
 child node (7) $-1, 1$
 edge from parent node[left] c
 
 child 
 child
 child node (8) [hn] P2
 child node (27) $1,-1$
 edge from parent node[left] f
 child node (28)$-2,2$
 edge from parent node[right] c
 
 edge from parent node[right] r
 
 edge from parent node[left=1mm] $JQK$
 node[left=1mm, pos=0.25] $p_1$
 
 child node (2) [hn] P1
 child node (9) $-1, 1$
 edge from parent node[right] c
 
 child node (10) [hn] 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[left=1mm] $JKQ$
 node[left=1mm, pos=0.3] $p$
 
 child node (3) [hn] P1
 child node (11) [hn] P2
 child node (21) $1,-1$
 edge from parent node[right=1mm] f
 child node (22) $-2,2$
 edge from parent node[right=1mm] c
 edge from parent node[right=1mm] r
 child node(12) $-1,1$
 edge from parent node[right, pos=0.6, xshift=2] c
 
 edge from parent node[left=1mm] $QKJ$
 node[left=1mm, pos=0.35] $p$
 
 child node (4) [hn] P1
 child node (13) $1,-1$
 edge from parent node[right=1mm] c
 
 child node(14) [hn] P2
 child node (23) $1,-1$
 edge from parent node[right=1mm] f
 child node (24) $2,-2$
 edge from parent node[right=1mm] c
 
 edge from parent node[right=1mm] r
 
 edge from parent node[right=1mm] $QJK$
 node[right=1mm, pos=0.35] $ p$
 
 child node (5) [hn] P1
 child node (15) [hn] P2
 child node (25)$1,-1$
 edge from parent node[right=1mm] f
 
 child node (26) $2,-2$
 edge from parent node[right=1mm] c
 
 edge from parent node[right=1mm] r
 child node(16) $1,-1$
 edge from parent node[right=1mm] c
 
 edge from parent node[right=1mm] $KJQ$
 node[right=1mm, pos=0.3] $p$
 
 child node (6) [hn] P1
 child
 child
 child node (17) [hn] P2
 child node (27) [gn] $1,-1$
 edge from parent node[right=1mm] r
 
 child node [gn] $2,-2$
 edge from parent node[right=1mm] c
 
 
 edge from parent node[right=1mm] r
 
 child node(18) $1,-1$
 edge from parent node[right=1mm] c
 
 edge from parent node[right=1mm] $KQJ$
 node[right=1mm,pos=0.25] $p$
 ;
draw[dashed] (1) -- (2)
 (3) -- (4)
 (5) -- (6)
 (10) -- (11)
 (14) -- (15)
 (8) -- (17);
 endtikzpicture
endfigure

(red lines indicate text borders)