Voting Systems and the Condorcet Paradox | Infinite Series
162.7 هزار بار بازدید -
7 سال پیش
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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: Reddit: diyft53
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Previous Episode
Pantographs and the
Dissecting Hypercubes with Pascal's T...
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-...
The Mathematics of Voting
https://www.math.ku.edu/~jmartin/cour...
The Mathematics of Voting, Power and Sharing
http://web.math.princeton.edu/math_al...
CGP Grey Voting Playlist
CGP Grey Voting Series
Comments answered by Kelsey:
FossilFighters101
Pantographs and the Geometry of Compl...
Abi Gail
Pantographs and the Geometry of Compl...
Lucas Hoffses
Pantographs and the Geometry of Compl...
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: Reddit: diyft53
Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Previous Episode
Pantographs and the
Dissecting Hypercubes with Pascal's T...
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-...
The Mathematics of Voting
https://www.math.ku.edu/~jmartin/cour...
The Mathematics of Voting, Power and Sharing
http://web.math.princeton.edu/math_al...
CGP Grey Voting Playlist
CGP Grey Voting Series
Comments answered by Kelsey:
FossilFighters101
Pantographs and the Geometry of Compl...
Abi Gail
Pantographs and the Geometry of Compl...
Lucas Hoffses
Pantographs and the Geometry of Compl...
7 سال پیش
در تاریخ 1396/03/25 منتشر شده
است.
162,745
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