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signaling games.tex
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signaling games.tex
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\documentclass{scrartcl}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc,intersections,through,backgrounds,patterns}
\usetikzlibrary{decorations.text, decorations.markings, fit, arrows, arrows.meta}
\begin{document}
%\begin{figure}
% \centering
\begin{tikzpicture}
\fill (-3.75,2.25) circle (2pt); %upper left node, top
\fill (-3.75,0.75) circle (2pt); %upper left node, bottom
\draw[thick] (-2.5,1.5)--(-3.75,2.25);
\draw[thick] (-2.5,1.5)--(-3.75,0.75);
\fill (-3.75,-2.25) circle (2pt); %lower left node, top
\fill (-3.75,-0.75) circle (2pt); %lower left node, bottom
\draw[thick] (-2.5,-1.5)--(-3.75,-2.25);
\draw[thick] (-2.5,-1.5)--(-3.75,-0.75);
\fill (-2.5,1.5) circle (2pt); %top horizontal line, left
\fill (2.5,1.5) circle (2pt); %top horizontal line, right
\fill (0,1.5) circle (2pt); %top center
\fill (0,0) circle (2pt); %center
\fill (0,-1.5) circle (2pt); %bottom center
\fill (-2.5,-1.5) circle (2pt); %bottom horizontal line, left
\fill (2.5,-1.5) circle (2pt); %bottom horizontal line, right
\fill (3.75,2.25) circle (2pt); %upper right node, top
\fill (3.75,0.75) circle (2pt); %upper right node, bottom
\draw[thick] (2.5,1.5)--(3.75,2.25);
\draw[thick] (2.5,1.5)--(3.75,0.75);
\fill (3.75,-2.25) circle (2pt); %lower right node, top
\fill (3.75,-0.75) circle (2pt); %lower right node, bottom
\draw[thick] (2.5,-1.5)--(3.75,-2.25);
\draw[thick] (2.5,-1.5)--(3.75,-0.75);
\node at (0,2.5) {{\small Sender}}; %can remove if preferred
\node at (-1.25,1.85) {{\small $L$}};
\node at (1.25,1.85) {{\small $R$}};
\node at (0,1.85) {{\small $t_1$}};
\node at (0.5,0.75) {{\small 0.5}};
\node at (0.75,0) {{\small Nature}};
\node at (0.5,-.75) {{\small 0.5}};
\node at (0,-1.85) {{\small $t_2$}};
\node at (-1.25,-1.85){{\small $L$}};
\node at (1.25,-1.85) {{\small $R$}};
\node at (0,-2.5) {{\small Sender}}; %can remove if preferred
\draw[thick] (0,1.5)--(0,-1.5); %vertical center
\draw[thick] (-2.5,1.5)--(2.5,1.5); %top
\draw[thick] (-2.5,-1.5)--(2.5,-1.5); %bottom
%
\draw[thick,dash pattern=on 6pt off 4pt] (-2.5,1.5)--(-2.5,-1.5);
\draw[thick,dash pattern=on 6pt off 4pt] (2.5,1.5)--(2.5,-1.5);
\node[fill=white] at (-2.5,0) {{\small Receiver}};
\node[fill=white] at (2.5,0) {{\small Receiver}};
%optional - probabilities
% \node at (-2.3,1.75) {{\scriptsize [$p$]}};
% \node at (2.3,1.75) {{\scriptsize [$q$]}};
% \node at (-2.15,-1.75) {{\scriptsize [$1\!-\!p$]}};
% \node at (2.15,-1.75) {{\scriptsize [$1\!-\!q$]}};
%D's \& U's
\node at (-3, 2.15) {{\small $u$}};
\node at (-3, 0.85) {{\small $d$}};
\node at (-3,-0.85) {{\small $u$}};
\node at (-3,-2.15) {{\small $d$}};
%
\node at (3, 2.15) {{\small $u$}};
\node at (3, 0.85) {{\small $d$}};
\node at (3,-0.85) {{\small $u$}};
\node at (3,-2.15) {{\small $d$}};
%payoffs
\node at (-4.25, 2.25) {{\small $1,2$}};
\node at (-4.25, 0.70) {{\small $2,0$}};
\node at (-4.25,-2.30) {{\small $0,0$}};
\node at (-4.25,-0.75) {{\small $3,1$}};
%
\node at (4.25, 2.25) {{\small $0,1$}};
\node at (4.25, 0.70) {{\small $3,0$}};
\node at (4.25,-2.30) {{\small $1,0$}};
\node at (4.25,-0.75) {{\small $2,2$}};
%alternative payoffs
% \node at (-4.25, 2.25) {{\small $1,3$}};
% \node at (-4.25, 0.70) {{\small $4,0$}};
% \node at (-4.25,-2.30) {{\small $2,4$}};
% \node at (-4.25,-0.75) {{\small $0,1$}};
%
% \node at (4.25, 2.25) {{\small $2,1$}};
% \node at (4.25, 0.70) {{\small $0,0$}};
% \node at (4.25,-2.30) {{\small $1,0$}};
% \node at (4.25,-0.75) {{\small $1,2$}};
%alternative - centered "Nature"
% \fill[white] (-0.001,0.755) circle (0.8pt);
% \fill[white] (-0.001,-0.945) circle (0.8pt);
% \node at (0,0.85) {{\small 0.5}};
% \node at (0,-.85) {{\small 0.5}};
% \draw[line width=7pt, color=white] (-0.3,-0.37)--(0.3,-0.37); %manual fill behnd "Nature"
% \node at (0,-0.35) {{\small Nature}};
\end{tikzpicture}
% \caption{...}
%\end{figure}
\vspace{2cm}
%\begin{figure}
% \centering
\begin{tikzpicture}
% \fill (3.5,-2.75) circle (1.5pt); %upper left node, top
% \fill (1.5,-2.75) circle (1.5pt); %upper left node, bottom
\draw[thick] (2.5,-1.5)--(3.5,-2.75);
\draw[thick] (2.5,-1.5)--(1.5,-2.75);
% \fill (-3.5,-2.75) circle (1.5pt); %lower left node, top
% \fill (-1.5,-2.75) circle (1.5pt); %lower left node, bottom
\draw[thick] (-2.5,-1.5)--(-3.5,-2.75);
\draw[thick] (-2.5,-1.5)--(-1.5,-2.75);
\fill (2.5,-1.5) circle (1.5pt); %right vertical line, bottom
\fill (2.5,1.5) circle (1.5pt); %right vertical line, top
\fill (2.5,0) circle (1.5pt); %center right
\fill[draw=black,fill=white] (0,0) circle (1.5pt); %center
\fill (-2.5,0) circle (1.5pt); %center left
\fill (-2.5,-1.5) circle (1.5pt); %left vertical line, bottom
\fill (-2.5,1.5) circle (1.5pt); %left vertical line, top
% \fill (3.5,2.75) circle (1.5pt); %upper right node, right
% \fill (1.5,2.75) circle (1.5pt); %upper right node, left
\draw[thick] (2.5,1.5)--(3.5,2.75);
\draw[thick] (2.5,1.5)--(1.5,2.75);
% \fill (-3.5,2.75) circle (1.5pt); %upper left node, left
% \fill (-1.5,2.75) circle (1.5pt); %upper left node, right
\draw[thick] (-2.5,1.5)--(-3.5,2.75);
\draw[thick] (-2.5,1.5)--(-1.5,2.75);
\draw[thick] (2.5,0)--(-2.5,0); %horizontal center
\draw[thick] (2.5,-1.5)--(2.5,1.5); %vertical right
\draw[thick] (-2.5,-1.5)--(-2.5,1.5); %vertical left
%
\draw[thick,dashed] (2.5,-1.5)--(-2.5,-1.5);
\draw[thick,dashed] (2.5,1.5)--(-2.5,1.5);
%this is covered over by the horizontal line
\fill[draw=black,fill=white] (0,0) circle (1.5pt); %center
%\node at (0,0) {{\small Sender}};
\node at (-3,0.75) {{\small sig.}};
\node at (-3,-0.75) {{\small not}};
\node at (-3.2,0) {{\small Sender}};
\node at (-1.25,.25){{\small $T_1$}};
\node at (1.25,.25) {{\small $T_2$}};
\node at (0,1.75) {{\small Receiver}};
\node at (0,-1.25) {{\small Receiver}};
\node at (3.2,0) {{\small Sender}};
\node at (3,0.75) {{\small sig.}};
\node at (3,-0.75) {{\small not}};
%payoffs
\node at (-3.5,-3.15) {{\small $1,1$}};
\node at (-1.5,-3.15) {{\small $0,0$}};
\node at (1.5,-3.15) {{\small $1,0$}};
\node at (3.5,-3.15) {{\small $0,1$}};
%
\node at (-3.5,3.15) {{\small $1\!-\!c_1,1$}};
\node at (-1.5,3.15) {{\small $0\!-\!c_1,0$}};
\node at (1.5,3.15) {{\small $1\!-\!c_2,0$}};
\node at (3.5,3.15) {{\small $0\!-\!c_2,1$}};
%labelling nodes
\node at (-3.25,2) {{\scriptsize $A_1$}}; %top left
\node at (-1.75,2) {{\scriptsize $A_2$}};
%
\node at (-3.25,-2) {{\scriptsize $A_1$}}; %bottom left
\node at (-1.75,-2) {{\scriptsize $A_2$}};
%
\node at (1.75,2) {{\scriptsize $A_1$}}; %top right
\node at (3.25,2) {{\scriptsize $A_2$}};
%
\node at (1.75,-2) {{\scriptsize $A_1$}}; %bottom right
\node at (3.25,-2) {{\scriptsize $A_2$}};
\end{tikzpicture}
% \caption{...}
%\end{figure}
\end{document}