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Arrow's Impossibility Theorem | Infinite Series

2017-06-22

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The bizarre Arrow’s Impossibility Theorem, or Arrow’s Paradox, shows a counterintuitive relationship between fair voting procedures and dictatorships. Start your free trial with Squarespace at http://squarespace.com/infiniteseries and enter offer code “infinite” to get 10% off your first purchase.

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Voting Systems and the Condorcet Criterion

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Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Made by Kornhaber Brown (www.kornhaberbrown.com)

Additional Resources

Networks, Crowds and Markets:: https://www.cs.cornell.edu/home/kleinber/networks-book/

Original Paper by Kenneth Arrow:: https://web.archive.org/web/20110720090207/http://gatton.uky.edu/Faculty/hoytw/751/articles/arrow.pdf

Different voting systems can produce radically different election results, so it’s important to ensure the voting system we’re using has certain properties - that it fairly represents the opinions of the electorates. The impressively counterintuitive Arrow’s Impossibility Theorem demonstrates that this is much harder than you might think.

Thanks: Ben Houston-Edwards and Iian Smythe

Comments answered by Kelsey:

Johan Richter

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Nat Tuck

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PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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