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All events for May 1, 20139:00 AM - 15th Annual Academic Festival 10:00 AM - Kaplan Test Prep & Admissions Information Table 5:00 PM - Burlington, VT happy hour 7:00 PM - 5/01 Boston 7:00 PM - 5/01 Chicago 7:00 PM - 5/01 New York City To view more information for these events select View all events at the bottom of the day. |
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All events for May 17, 201310:00 AM - Periclean Scholar Awards Ceremony & Honors Forum Senior Recognition 12:30 PM - Senior Varsity Athlete Recognition Luncheon 2:00 PM - Phi Beta Kappa Induction Ceremony 3:30 PM - Class of 2013 Parents Fund Ceremony 4:30 PM - President's Reception To view more information for these events select View all events at the bottom of the day. |
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Voting with Rubber Bands, Weights, and Strings
Location: Palamountain Hall: Davis Auditorium
Date: 10/05/2011
Time: 5:30 PM
Speaker: William S Zwicker, Union College
Description:
When there are three or more candidates in an election, what is the best method to decide the winner? In the US we use “plurality voting”, but is it the fairest system? Prof Bill Zwicker of Union College is a leading national expert on this question and will discuss some of his ideas about it.
Abstract: Suppose each voter ranks three candidates p, q, and r for president. How should we decide the winner? Here is a bizarre voting system: We arrange six points as the vertices of a hexagon, labeled with the six possible rankings. Each voter loops one end of a rubber band around the vertex with their ranking, and the other end around one movable point O. O is released, it achieves an equilibrium position, and the winner is determined by the ranking on the vertex closest to O.
Surprisingly, this voting system is identical to another, well-known system known as the “Borda Count”.
We’ll address some of the following questions: -Can a computer pretend to be a bunch of rubber bands? -How can dishonest voters use their rubber bands to stretch the truth? -What happens if we replace rubber bands with strings and weights? -Why do weights and strings yield fewer ties than rubber bands?
Sponsor:Math/CS Dept. & the First Year Seminar
Contact:
Kim Newsom
518-580-5280
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