Voting Paradoxes - Numberphile

How to decide who wins a confusing vote, discussing the likes of Smith Sets and the Condorcet Paradox. Featuring Sophie Maclean. More links & stuff in full description below ↓↓↓ More videos about voting here: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKWeHG12vI1Be4sPu7KYx9K Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com More Sophie on Numberphile: https://bit.ly/Sophie_Numberphile Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by James Hennessy, Pete McPartlan, and Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Thanks to our Patrons, including: Juan Benet Matthew Feinberg Jeff Straathof Ben Delo Ken Baron Andy B Michael Dunworth Yana Chernobilsky James Bissonette Jubal John Ben White Andrei M Burke RAD Donato Matthew Schuster Ron Hochsprung Ubiquity Ventures Gnare thomas greco Allen Stenger Tracy Parry Ian George Walker Arnas Bernd Sing Valentin Alex Khein Doug Hoffman John Loach