Leave your feedback Share Copy URL https://mypepack.gophersport.com/video/?vid=uYO4eMSp7pV Email Facebook Twitter LinkedIn Pinterest Tumblr Share on Facebook Share on Twitter Voting Systems and the Condorcet Paradox | Infinite Series [Yr9Cg9x7YJm] Health Updated on August 07, 2026 EDT — Published on August 07, 2026 EDT Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: What is the best voting system? Voting seems relatively straightforward, yet four of the most widely used voting systems can produce four completely different winners. Get 10% off a custom domain and email address by going to *Correction: The ballots at 1:20 were labeled incorrectly. At 1:20 the top ballot should read 1 Green, 2 Blue and 3 Purple and the bottom ballot should read 2 Green, 3 Blue and 1 Purple. Thank you to Hoarder who first noted this. *Correction: What's stated is the converse of the Condorcet Criterion. Oops - Stating conditionals can be tricky! For more details, see: Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Pantographs and the Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com) With access to a complete set of ranked ballots - which means we know every person’s opinions - it seems like a clear winner should emerge. But it doesn’t. The outcome of the election depends critically on what process you use to convert all those individual’s preferences into a group preference. Further Resources: Voting and Election Decision Methods The Mathematics of Voting The Mathematics of Voting, Power and Sharing CGP Grey Voting Playlist Comments answered by Kelsey: FossilFighters101 Abi Gail Lucas Hoffses kwfgK5LYVAz 9zCgPh5aWU2 g2CvlfR6vyw IrUB6lEMuEF inEoFjnu9n2 iES2qPdOq8H
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: What is the best voting system? Voting seems relatively straightforward, yet four of the most widely used voting systems can produce four completely different winners. Get 10% off a custom domain and email address by going to *Correction: The ballots at 1:20 were labeled incorrectly. At 1:20 the top ballot should read 1 Green, 2 Blue and 3 Purple and the bottom ballot should read 2 Green, 3 Blue and 1 Purple. Thank you to Hoarder who first noted this. *Correction: What's stated is the converse of the Condorcet Criterion. Oops - Stating conditionals can be tricky! For more details, see: Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Pantographs and the Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com) With access to a complete set of ranked ballots - which means we know every person’s opinions - it seems like a clear winner should emerge. But it doesn’t. The outcome of the election depends critically on what process you use to convert all those individual’s preferences into a group preference. Further Resources: Voting and Election Decision Methods The Mathematics of Voting The Mathematics of Voting, Power and Sharing CGP Grey Voting Playlist Comments answered by Kelsey: FossilFighters101 Abi Gail Lucas Hoffses kwfgK5LYVAz 9zCgPh5aWU2 g2CvlfR6vyw IrUB6lEMuEF inEoFjnu9n2 iES2qPdOq8H