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Seminar Details

Arrow's Impossibility Theorem

  • Start Date: November 20, 2019
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Rashmika Goswami - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Roughly speaking, Arrow's theorem states that in an election with more than two candidates, there is no "reasonable" voting rule that gives a rational outcome. I will discuss this and related theorems, as well as giving a Fourier-theoretic proof of Arrow's theorem which sheds light on how likely rational outcomes are for any voting rule.