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0 pointsbzbz6y ago0 comments

Look at the theorem you linked. What is its point? Its “dictator” exists in majority vote as well, and is merely anyone who has not determined their vote yet in a close election, e.g. the “swing states.”

Correct me if I’m misreading, but how does this favor majority vote over ranked voting?

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espeed6y ago

It just says 2 choices work -- like in binary decision tree, you can always choose the best of two -- but with 3 or more choices, you lose this property -- sort-of like in rock-paper-scissors [1], we can all agree that...

  1. ROCK      is better than scissors
  2. SCISSORS  is better than paper
  3. PAPER     is better than rock 
 
  ?? PAPER     is better than rock ?? 
  ?? ROCK      is better than rock ??

     DOES NOT COMPUTE

This in-transitive loop is called Holonomy [2], and it Does Not Compute in the classical sense -- it can put you in a state where it's impossible to win the majority vote -- no one can win the popular vote and so no one agrees who the winner is, ever -- and thus there can be no mandate in an intransitive relation [3].

See Eric Weinstein discuss this concept in the context of Gauge Theory on Joe Rogan's podcast #1203: https://podscribe.app/feeds/http-joeroganexpjoeroganlibsynpr...

[1] https://en.wikipedia.org/wiki/Rock–paper–scissors

[2] https://en.wikipedia.org/wiki/Holonomy

[3] https://en.wikipedia.org/wiki/Transitive_relation#Intransiti...

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