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Voting Problem

1. Intro

Arrow’s impossibility theorem:

  • No voting system can perfectly translate individual preference into a collective decision that seems reasonable

Properties

  • No matter how rank, the system should process
  • No one could dictate the entire group result
  • If an option is universally preferred, it wins
  • Ranking between any two options depend only on the these two

2. Solution

  1. Relaxing Criteria
  2. Different voting system
    1. Ranked choice voting
    2. Borda count
    3. Approval voting