Graduation Year
Spring 2013
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Francis Edward Su
Reader 2
Michael E. Orrison
Terms of Use & License Information
Rights Information
© 2013 Rosalie J. Carlson
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
Recommended Citation
Carlson, Rosalie J., "Voter Compatibility In Interval Societies" (2013). HMC Senior Theses. 50.
https://scholarship.claremont.edu/hmc_theses/50
Source Fulltext
http://www.math.hmc.edu/~rcarlson/thesis/rcarlson-2013-thesis.pdf
