Distances Between Top-Truncated Elections of Different Sizes

TL;DR

This paper extends the map of elections framework to handle elections of varying sizes with top-truncated votes, enabling new visualizations of diverse election datasets.

Contribution

It introduces a method to analyze and visualize elections of different sizes with top-truncated votes within the map of elections framework.

Findings

Extended the map of elections framework to include varying election sizes

Created visualizations for a large election dataset (Preflib)

Demonstrated the applicability of the extended framework

Abstract

The map of elections framework is a methodology for visualizing and analyzing election datasets. So far, the framework was restricted to elections that have equal numbers of candidates, equal numbers of voters, and where all the (ordinal) votes rank all the candidates. We extend it to the case of elections of different sizes, where the votes can be top-truncated. We use our results to present a visualization of a large fragment of the Preflib database.