Рет қаралды 164,806
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/don...
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 www.hover.com/...
*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: / diyft53
Tweet at us! @pbsinfinite
Facebook: pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Previous Episode
Pantographs and the
• Dissecting Hypercubes ...
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
www.ams.org/sam...
The Mathematics of Voting
www.math.ku.ed...
The Mathematics of Voting, Power and Sharing
web.math.prince...
CGP Grey Voting Playlist
• CGP Grey Voting Series
Comments answered by Kelsey:
FossilFighters101
• Pantographs and the Ge...
Abi Gail
• Pantographs and the Ge...
Lucas Hoffses
• Pantographs and the Ge...