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Rosalie J. Carlson

Picture of Rosalie J. Carlson.

Thesis

Voter Compatibility In Interval Societies

Advisor
Francis Edward Su
Second Reader(s)
Michael E. Orrison

Abstract

In an interval society, voters are represented by intervals on the real line, corresponding to their approval sets on a linear political spectrum. I imagine the society to be a representative democracy, and ask how to choose members of the society as representatives. Following work in mathematical psychology by Coombs and others, I develop a measure of the compatibility (political similarity) of two voters. I use this measure to determine the popularity of each voter as a candidate. I then establish local “agreeability” conditions and attempt to find a lower bound for the popularity of the best candidate. Other results about certain special societies are also obtained.

Proposal

Voting in Interval Societies

Additional Materials

Poster