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Mathematics

What the Majority Wants

A majority that runs in a circle, a theorem about every ranked ballot, and a seat lost by enlarging the House

Condorcet · Borda · Arrow · Balinski and Young · 3 chapters · 11 min read

A majority that runs in a circle, a theorem about every ranked ballot, and a seat lost by enlarging the House.

Free to read: every chapter below is open

Social choice

  1. 01The Majority That Goes in a CircleOn three voters, three options, and a majority that cannot make up its mind.
  2. 02Every Method Breaks SomethingOn a theorem about every ranked ballot, and what it does not say.
  3. 03The Seat Lost by Adding SeatsOn a constitution that asks for fractions of people, and the rounding that decides who gets them.