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new reform figure
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cdonnay committed Aug 5, 2024
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8 changes: 6 additions & 2 deletions paper/paper.md
Original file line number Diff line number Diff line change
Expand Up @@ -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%}

<!-- `VoteKit`
includes a variety of metrics and visualizations intended to facilitate
this.
Expand All @@ -144,7 +148,7 @@ 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 *Condorcet candidate* in this election.
the *Condorcet candidate* in this election. -->

## Area of need: Resources for research

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44 changes: 24 additions & 20 deletions paper/paper.tex
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Expand Up @@ -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
%%%%%%%%%%%%%%%
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