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Arrow’s Impossibility Theorem

Alex Mueller Abstract for 19 Jan. 2012

In 1951 Kenneth Arrow proved it is impossible to construct a voting system that simultaneously agrees with all our different notions of "fairness." I will discuss his impossibility theorem, outline its proof, and give some historical examples of the theorem in action. I will also discuss a way out: for an infinite number of votes an ultrafilter can overcome Arrow's theorem.

East Hall 2851 (Nesbitt Room) Free Pizza and Pop

Arrow’s Impossibility Theorem - University of Michigan · Arrow’s Impossibility Theorem Alex...

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