Phragmen's voting rules

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Phragmén's Method is a proportional method that works without lists.

In 2002 there was a thread on the EM mailing list with subject "D'Hondt without lists" mentioning the Phragmén method.

Sketch of method:

  • Voters vote for multiple candidates. The ballot is unordered
  • Each elected candidate has a load of 1 which is distributed among his voters.
  • The load of a candidate is not distributed evenly among its N voters, but rather such that each of the candidate's voters end up with the same cumulated load.
  • The candidates are elected iteratively - in each step electing the one that results in the most even distribution of load (i.e. minimal load on the voter with the highest load - minmax)