Voting Systems and the Condorcet Paradox | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi
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 https://www.hover.com/InfiniteSeries
*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: https://www.reddit.com/r/math/comments/6hh9sb/voting_systems_and_the_condorcet_paradox_infinite/diyft53/
Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Previous Episode
Pantographs and the
https://www.youtube.com/watch?v=KYaCtHPCARc
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
http://www.ams.org/samplings/feature-column/fcarc-voting-decision
The Mathematics of Voting
https://www.math.ku.edu/~jmartin/courses/math105-F11/Lectures/chapter1-part1.pdf
The Mathematics of Voting, Power and Sharing
http://web.math.princeton.edu/math_alive/6/Notes1.pdf
CGP Grey Voting Playlist
https://www.youtube.com/playlist?list=PLej2SlXPEd37YwwEY7mm0WyZ8cfB1TxXa
Comments answered by Kelsey:
FossilFighters101
https://www.youtube.com/watch?v=XOzhF3QoTCA&lc=z12fi1jgnle5wre0k22puzfojxnbzjirk04
Abi Gail
https://www.youtube.com/watch?v=XOzhF3QoTCA&lc=z13kin5rcqatih1i004cjdfwsofhi1hopgo
Lucas Hoffses
https://www.youtube.com/watch?v=XOzhF3QoTCA&lc=z13nilewrtbmfp24t04cgdlziqafvzbahkk0k
Видео Voting Systems and the Condorcet Paradox | Infinite Series канала PBS Infinite Series
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 https://www.hover.com/InfiniteSeries
*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: https://www.reddit.com/r/math/comments/6hh9sb/voting_systems_and_the_condorcet_paradox_infinite/diyft53/
Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Previous Episode
Pantographs and the
https://www.youtube.com/watch?v=KYaCtHPCARc
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
http://www.ams.org/samplings/feature-column/fcarc-voting-decision
The Mathematics of Voting
https://www.math.ku.edu/~jmartin/courses/math105-F11/Lectures/chapter1-part1.pdf
The Mathematics of Voting, Power and Sharing
http://web.math.princeton.edu/math_alive/6/Notes1.pdf
CGP Grey Voting Playlist
https://www.youtube.com/playlist?list=PLej2SlXPEd37YwwEY7mm0WyZ8cfB1TxXa
Comments answered by Kelsey:
FossilFighters101
https://www.youtube.com/watch?v=XOzhF3QoTCA&lc=z12fi1jgnle5wre0k22puzfojxnbzjirk04
Abi Gail
https://www.youtube.com/watch?v=XOzhF3QoTCA&lc=z13kin5rcqatih1i004cjdfwsofhi1hopgo
Lucas Hoffses
https://www.youtube.com/watch?v=XOzhF3QoTCA&lc=z13nilewrtbmfp24t04cgdlziqafvzbahkk0k
Видео Voting Systems and the Condorcet Paradox | Infinite Series канала PBS Infinite Series
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
Arrow's Impossibility Theorem | Infinite SeriesWhich voting system is the best? - Alex GendlerThe Problems with First Past the Post Voting ExplainedSimulating alternate voting systemsPolitics in the Animal Kingdom: Single Transferable VotePantographs and the Geometry of Complex Functions | Infinite SeriesSolving the Wolverine Problem with Graph Coloring | Infinite Series500 years of NOT teaching THE CUBIC FORMULA. What is it they think you can't handle?How do German elections work? | CNBC ExplainsSchulze voting method: choosing a hikeVoting Paradoxes | ExploratoriumThe Devil's Staircase | Infinite SeriesThe Better Boarding Method Airlines Won't UseIs Democracy Impossible? (Arrow's Theorem)Multiple Party Gerrymandering [Bonus Video]Higher-Dimensional Tic-Tac-Toe | Infinite SeriesHow the Axiom of Choice Gives Sizeless Sets | Infinite SeriesFootnote ‡ from STV: Hare Vs DroopHow We Should Vote (Range Voting)