diff --git a/paper/figures/WA_poc_seats_chartsystem_compare_pared.png b/paper/figures/WA_poc_seats_chartsystem_compare_pared.png new file mode 100644 index 0000000..91d33d0 Binary files /dev/null and b/paper/figures/WA_poc_seats_chartsystem_compare_pared.png differ diff --git a/paper/paper.md b/paper/paper.md index ff80a09..b226b71 100644 --- a/paper/paper.md +++ b/paper/paper.md @@ -131,7 +131,11 @@ See generally references. Reform advocates also need to describe voting mechanisms and their -likely outcomes effectively to members of their communities. `VoteKit` +likely outcomes effectively to members of their communities. The end-to-end pipeline provided by `VoteKit` allows advocates to toggle different system settings and compare expected outcomes. + +![A comparison of a variety of electoral systems and their affect on minority representation in a case study of the Washington state legislature [@washington_leg]. \label{fig:WA_comparison}](./figures/WA_poc_seats_chartsystem_compare_pared.png){width=100%} + + ## Area of need: Resources for research diff --git a/paper/paper.tex b/paper/paper.tex index d116cf3..71e55fa 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -90,36 +90,40 @@ \subsection{Area of need: Comparison and communication} \end{itemize} See generally \cite{electoralhandbook,STV,Borda,TopTwo,SequentialRCV} for references. -Reform advocates also need to describe voting mechanisms and their likely outcomes effectively to members of their communities. -\VK includes a variety of metrics and visualizations intended to facilitate this. - -\begin{figure}[bht!] \hspace{-.5in} -\begin{tikzpicture} +Reform advocates also need to describe voting mechanisms and their +likely outcomes effectively to members of their communities. The end-to-end pipeline provided by \VK allows advocates to toggle different system settings and compare expected outcomes. +\begin{figure}[bht!] + \includegraphics[options]{./figures/WA_poc_seats_chartsystem_compare_pared.png} + \caption{A comparison of a variety of electoral systems and their affect on minority representation in a case study of the Washington state legislature \cite{washington_leg}.} + \label{fig:comparison} +\end{figure} +% \begin{figure}[bht!] \hspace{-.5in} +% \begin{tikzpicture} -\node at (2.5,-5.2) {\includegraphics[height=2.5in]{../figures/pwc_graph.png}}; -\node at (2.5,-8.2) {\bf Pairwise Comparison Graph}; +% \node at (2.5,-5.2) {\includegraphics[height=2.5in]{../figures/pwc_graph.png}}; +% \node at (2.5,-8.2) {\bf Pairwise Comparison Graph}; -\node at (10,-5.2) {\includegraphics[height=2in]{../figures/profile.png}}; -\node at (10,-8.2) {\bf Preference Profile}; +% \node at (10,-5.2) {\includegraphics[height=2in]{../figures/profile.png}}; +% \node at (10,-8.2) {\bf Preference Profile}; -\node at (0,0) {\includegraphics[width=2.5in]{../figures/fpv.png}}; -\node at (0,2.2) {\bf First-Place Votes}; -\node at (6,0) {\includegraphics[width=2.5in]{../figures/borda.png}}; -\node at (6,2.2) {\bf Borda Points}; -\node at (12,0) {\includegraphics[width=2.5in]{../figures/mentions.png}}; -\node at (12,2.2) {\bf Mentions}; +% \node at (0,0) {\includegraphics[width=2.5in]{../figures/fpv.png}}; +% \node at (0,2.2) {\bf First-Place Votes}; +% \node at (6,0) {\includegraphics[width=2.5in]{../figures/borda.png}}; +% \node at (6,2.2) {\bf Borda Points}; +% \node at (12,0) {\includegraphics[width=2.5in]{../figures/mentions.png}}; +% \node at (12,2.2) {\bf Mentions}; -\end{tikzpicture} +% \end{tikzpicture} - \caption{Four visualizations for the same synthetic four-candidate preference profile with 1000 voters. The profile was generated with the CS model, which produces incomplete ballots at a realistic rate.} - \label{fig: votekit summary stats} -\end{figure} +% \caption{Four visualizations for the same synthetic four-candidate preference profile with 1000 voters. The profile was generated with the CS model, which produces incomplete ballots at a realistic rate.} +% \label{fig: votekit summary stats} +% \end{figure} -For a given preference profile, basic \VK functions provide statistics and visuals for first-place votes, Borda count, and mention frequency, as well as head-to-head comparisons (see Figure \ref{fig: votekit summary stats}). The pairwise comparison graph shows head-to-head margins between candidates. For instance, 282 more voters ranked $W_2>C_1$ than $C_1>W_2$ in the preference profile used to make the figure. Note that $W_1$, who has the most first-place votes by far, is also preferred head-to-head over all alternatives, making them the {\em Condorcet candidate} in this election. +% For a given preference profile, basic \VK functions provide statistics and visuals for first-place votes, Borda count, and mention frequency, as well as head-to-head comparisons (see Figure \ref{fig: votekit summary stats}). The pairwise comparison graph shows head-to-head margins between candidates. For instance, 282 more voters ranked $W_2>C_1$ than $C_1>W_2$ in the preference profile used to make the figure. Note that $W_1$, who has the most first-place votes by far, is also preferred head-to-head over all alternatives, making them the {\em Condorcet candidate} in this election. \FloatBarrier %%%%%%%%%%%%%%%