-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathDecision-Tree.tex
88 lines (82 loc) · 2.39 KB
/
Decision-Tree.tex
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
\documentclass[11pt, oneside]{article} % use "amsart" instead of "article" for AMSLaTeX format
\usepackage{geometry} % See geometry.pdf to learn the layout options. There are lots.
\geometry{a4paper} % ... or a4paper or a5paper or ...
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{trees}
\tikzstyle{decision} = [circle,draw,text width=1em, text centered]
\tikzstyle{payoff} = [circle, minimum width=0.5em,fill]
\tikzstyle{level 1}=[level distance=2.5cm, sibling distance=6cm]
\tikzstyle{level 2}=[level distance=2.5cm, sibling distance=3cm]
\tikzstyle{level 3}=[level distance=2.5cm, sibling distance=1.5cm]
\title{Decision Tree for a Signalling Game}
\author{Nick Cao}
\begin{document}
\maketitle
The extensive form of the signalling game is as follows:
\vskip 2em
\begin{tikzpicture}
%\draw[help lines] (-5,-8) grid (5,0);
\node[decision] {0}
child{ node[decision] {1.i}
child{ node[decision] (2x3) {2.1}
child{ node[payoff, label=below: {--1,1}] {}
edge from parent
node[left] {d}
}
child{ node[payoff, label=below: {$-\frac{1}{4},-\frac{1}{4}$}] {}
edge from parent
node[right] {t}
}
edge from parent
node[left]{s}
}
child{ node[decision] (2x1) {2.2}
child{ node[payoff, label=below: {0,0}] {}
edge from parent
node[left] {d}
}
child{ node[payoff, label=below: {$-\frac{1}{4},-\frac{1}{4}$}] {}
edge from parent
node[right] {t}
}
edge from parent
node[right] {h}
}
edge from parent
node[left, align=left] {innocent--- \\ $\mu_0=\frac{1}{2}$}
}
child{ node[decision] {1.g}
child{ node[decision] (2x4) {2.1}
child{ node[payoff, label=below: {--1,1}] {}
edge from parent
node[left] {d}
}
child{ node[payoff, label=below: {$-\frac{21}{20},\frac{19}{20}$}] {}
edge from parent
node[right] {t}
}
edge from parent
node[left] {s}
}
child{ node[decision] (2x2) {2.2}
child{ node[payoff, label=below: {0,0}] {}
edge from parent
node[left] {d}
}
child{ node[payoff, label=below: {$-\frac{21}{20},\frac{19}{20}$}] {}
edge from parent
node[right] {t}
}
edge from parent
node[right] {h}
}
edge from parent
node[right] {\ guilty}
}
;
\draw[dashed] (2x1) to [out=30,in=150] (2x2) ;
\draw[dashed] (2x3) to [out=330,in=210] (2x4) ;
\end{tikzpicture}
\end{document}