Preferences on Ranked-Choice Ballots

This paper formalizes the lattice structure of the ballot voters cast in a ranked-choice election and the preferences that this structure induces. These preferences are shown to be counter to previous assumptions about the preferences of voters, which indicate that ranked-choice elections require different considerations for voters and candidates alike. While this model assumes that voters vote sincerely, the model of ranked-choice elections this paper presents allows for considerations of strategic voting in future work.