Senate Apportionment

Logic Level 2

The United States Senate assigns states seats using the following system: regardless of the population of each state or the total number of states, every state gets two seats.

Of the criteria described in the Apportionment Paradox, which does this system fulfill?

An ideal assignment system would obey the following three rules:

  • (1) Quota rule: each group gets a number of seats equal to its proportion of the vote either rounded up or rounded down. (In the example, the seats would be 5 or 6 to \(A\), 2 or 3 to \(B\), and 1 or 2 to \(C\).)
  • (2) If the total number of seats is increased, the number assigned to any group doesn’t decrease.
  • (3) If group \(A\) gets more votes than group \(B\), no seats are transferred from \(A\) to \(B\).

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