Date of Submission

Spring 2013

Academic Program

Mathematics

Project Advisor 1

Ethan Bloch

Abstract/Artist's Statement

This project looks at a voting system called the partial Borda count, which is a modified Borda count. The traditional Borda count uses fully ordered sets as ballots, but the partial Borda count uses partially ordered sets (posets) as ballots. This project explores various properties of the Partial borda count, with a focus on injectivity and surjectivity of the partial Borda count restricted to various types of partially ordered sets. We address the set of all partially ordered sets and we then narrow our study to two types of partially ordered sets. We look at both bucket posets and linear disconnected posets in an attempt to gain an understanding of how the partial Borda count behaves in general.

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