Graduation Year

Spring 2013

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science



Reader 1

Francis Edward Su

Reader 2

Michael E. Orrison

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Rights Information

© 2013 Rosalie J. Carlson


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

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