Voting Theory and Weighted Systems by Austin Barr '21, Mathematics Colloquium

Voting Theory and Weighted Systems by Austin Barr ’21, Mathematics Colloquium, Tuesday, November 3, 1:30 – 2:15 pm, talk can be assessed through the Mathematics Colloquium Glow Page.

Abstract:  In this talk I will discuss different voting systems, what it means for a voting system to be weighted and prove that every weighted voting system is trade and swap robust. I will give an example of a voting system that is not swap robust and therefore not weighted. The talk will conclude with me explaining how to write a non-weighted voting system as an intersection of multiple weighted voting systems and an explanation of vector-weighted systems.