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Rules for Counting Ballots According to The Hare System of Proportional Representation
 

  1. The Secretary of the Faculties shall label the ballots to ensure a random ordering. A random number will also be assigned to each candidate.
  2. The ballots will be sorted initially, giving each to the candidate marked as first choice.
  3. Set aside as invalid any ballot that does not indicate clearly its first choice. Count all other ballots.
  4. Count the ballots thus distributed and tabulate the number of valid votes assigned to each candidate.
  5. Add the number of total valid votes cast to establish the quota needed to elect a candidate. Divide the total number of valid votes cast by the number of seats to be filled plus one. Then add one to that result to establish the quota. (Discard any remaining fraction.) After each transfer of the ballots of any one candidate, whether the transfer be of the surplus ballots of a candidate who has received the quota (see Rules 7 and 8 below), or of all the ballots of a defeated candidate (see Rule 16), the quota shall be recomputed if the transfer involves any exhausted ballots (see Rule 17).
  6. Declare elected every candidate who has received the quota.
  7. If this does not fill all the seats, transfer, if possible, as many of the ballots of each elected candidate as he or she has above the quota, to the next choice candidates.
  8. If more than one candidate has received more than the quota, transfer first the surplus ballots of the candidate with the most ballots, then the surplus ballots of the candidate with next most ballots, and so on until all the surplus ballots have been transferred.
  9. In taking ballots for transfer (either from candidates who have received ballots in excess of the quota, or from candidates declared defeated), take them in the order of the random numbers (see Rule 1), the lowest number first.
  10. As soon as a candidate has received the quota, declare him or her elected immediately, and transfer to him no ballots in excess of the quota. Before the transfer of an elected candidate’s surplus ballots, or of all the ballots of a defeated candidate, note whether the transfer can produce a new winner.
  11. As soon as the necessary number of candidates has been elected, declare the election at an end.
  12. If any ballot taken for transfer as a surplus ballot of an elected candidate does not clearly indicate the voter’s next choice among the candidates still lacking the quota, exchange it, if possible, for another of the candidate’s ballots that does. If none of the candidate’s surplus ballots can be transferred, declare them exhausted. (Note the requirement in Rule 6 for computing anew the quota.)
  13. After all the surplus ballots of any candidate have been transferred, make a fresh tabulation of results before making further transfers.
  14. After all the surplus ballots have been transferred, declare defeated all candidates with no ballots to their credit.
  15. As soon as the number of continuing candidates is reduced to the number still to be elected, bring the election to an end by declaring them all elected. A “continuing” candidate is a candidate as yet neither elected nor defeated.
  16. If the election is not thus completed by the defeat of all candidates with no ballots, declare defeated the candidate lowest on the poll and transfer all his or her ballots, each to the candidate marked as the next choice among the continuing candidates.
  17. In distributing the ballots of a defeated candidate, set aside as “exhausted” every ballot which does not clearly indicate the voter’s next choice among the continuing candidates.
  18. Whenever all the ballots of a defeated candidate have been transferred without completing the election, make a fresh tabulation of results, declare defeated the candidate then lowest on the poll, and transfer all his or her ballots, each to the candidate marked as next choice among the continuing candidates.
  19. Continue this process until the necessary number of candidates has been elected or until only that number remains undefeated.
  20. In case of a tie, the ballots of the candidate with the lowest random number will be distributed first.
  21. (These instructions were circulated with the Minutes of the Council meeting held on July 18, 1950. They were revised in July, 1985; and again, in July, 2002.)

 

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