Channel: PBS Infinite Series

Category: Education

Tags: pbseducationtwo round runoffborda countmathematicscondorcet's paradoxdictatorvotingfairkenneth arrowpluralitycondorcetrulingtheoremgovernmentcardinal votingparadoxmatharrow's impossibility theoremproofvotecontradictionarrow's paradox

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/donateinfi 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 squarespace.com/infiniteseries and enter offer code “infinite” to get 10% off your first purchase. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Voting Systems and the Condorcet Criterion youtube.com/watch?v=HoAnYQZrNrQ Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (kornhaberbrown.com) Additional Resources Networks, Crowds and Markets:: cs.cornell.edu/home/kleinber/networks-book Original Paper by Kenneth Arrow:: 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 youtube.com/watch?v=HoAnYQZrNrQ&lc=z12bt1nabyievh4yg04chlvpdnisxnw5rx00k Nat Tuck youtube.com/watch?v=HoAnYQZrNrQ&lc=z12tetkx1wzocn2ue23wzdfg5sn2dhhh004