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p-Norm Approval Voting (Professor Michael Orrison, Harvey Mudd College)
September 20, 2023 @ 4:15 pm - 5:30 pm
Title: p-Norm Approval Voting
Speaker: Michael Orrison, Professor of Mathematics, Harvey Mudd College
Abstract: Approval voting is a relatively simple voting procedure: Given a set of candidates, each voter chooses a subset of the candidates, and the candidate chosen the most is then declared the winner. Interestingly, approval voting can be viewed as an extreme end of a one-parameter family of voting procedures we are calling p-norm approval voting. In this talk, I’ll explain how we were led to start studying p-norm approval voting, and I’ll share some of the many properties we’ve discovered about it so far. This is joint work with Hari Nathan, Katharine Shultis, and Jessica Sorrells.
Michael Orrison is a Professor of Mathematics at Harvey Mudd College. He received his A.B. from Wabash College in 1995, and his Ph.D. from Dartmouth College in 2001. His teaching interests include linear algebra, abstract algebra, discrete mathematics, and representation theory. His research interests include voting theory and harmonic analysis on finite groups. He particularly enjoys finding, exploring, and describing novel applications of the representation theory of finite groups with the help of his talented and energetic research students.
