ORIE 4360 - [A Mathematical Examination of Fair Representation]

Spring. 3 credits.

Prerequisite: MATH 2210 or MATH 2940 or permission of instructor. Next offered 2014-2015.

Staff.

Covers the mathematical aspects of the political problem of fair apportionment. The most recognizable form (in the United States) of apportionment is the determination of the number of seats in the U.S. House of Representatives awarded to each state. The constitution indicates that the apportionment should reflect the relative populations, but does not prescribe a specific method. Indivisibility of seats leads us to interesting mathematical questions and a long, rich, and fractious political history involving many famous figures. The basic ideas extend beyond apportionment of legislatures (in both federal systems and proportional representation systems) to other realms where indivisible resourses are to be allocated among competing constituencies.