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Sunday Times Teaser 3116 – Poll Positions

by Brian Gladman on June 10, 2022

by Nick MacKinnon

Published Sunday June 12 2022 (link)

In an election for golf-club president, voters ranked all four candidates, with no voters agreeing on the rankings. Three election methods were considered.

Under First-past-the-post, since the first-preferences order was A, B, C, D, the president would have been A.

Under Alternative Vote, since A had no majority of first preferences, D was eliminated, with his 2nd and 3rd preferences becoming 1st or 2nd preferences for others. There was still no majority of 1st preferences, and B was eliminated, with his 2nd preferences becoming 1st preferences for others. C now had a majority of 1st preferences, and would have been president.

Under a Borda points system, candidates were given 4, 3, 2, or 1 points for each 1st, 2nd, 3rd or 4th preference respectively. D and C were equal on points, followed by B then A.

How many Borda points did each candidate receive?

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2 Comments Leave one →
  1. Brian Gladman permalink

    • Frits permalink

      With more analysis. The program has an internal runtime of 10ms.

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