The Mathematics of Voting and Apportionment: An Introduction

This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics.

The text’s three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any or...