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The flaw in every voting system

A story about the fundamental flaw in every voting system -- strategic voting. We prove a simplified version of the Gibbard-Satterthwaite theorem, the most fundamental theorem of the voting theory. #some3 0:00 Intro 3:11 Definitions 6:44 Proof 11:39 Arrow's theorem 13:25 Approval voting 17:03 Outro Blog post: https://vasekrozhon.wordpress.com/202... Github: https://github.com/polylog-cs/voting-... Patreon:   / polylog   Credits: Thumbnail by Alžběta Volhejnová To make this video, we used manim, a Python library: https://docs.manim.community/en/stable/ The color palette we use is solarized: https://ethanschoonover.com/solarized/ Comparison of voting systems: https://en.wikipedia.org/wiki/Compari... music: Thannoid by Blue Dot Sessions: https://app.sessions.blue/browse/trac... also a few seconds of Moon Men by Jake Chudnow:    • Jake Chudnow - Moon Men (Instrumental)   pictures: MidJourney, Wikipedia, Internet