Coombs' method

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Coombs' method (or the Coombs rule)[1] is a ranked voting system created by Clyde Coombs used for single-winner elections. Similarly to instant-runoff voting, it uses candidate elimination and redistribution of votes cast for that candidate until one candidate has a majority of votes.

Example[edit | edit source]

Coombs' method frequently selects the Condorcet winner. However, this does not always happen. For example:

7:a>c>d>b
6:a>d>b>c
3:b>a>c>d
7:b>c>a>d
9:b>c>d>a
4:c>a>d>b
6:d>a>b>c
3:a>c>b>d

This example, placed in Rob LeGrand's voting calculator, shows that Coombs arrives at a different result than Condorcet. The example is pulled from a Felsenthal and Tideman paper.[2]


Links[edit | edit source]

Footnotes[edit | edit source]

  1. Grofman, Bernard, and Scott L. Feld (2004) "If you like the alternative vote (a.k.a. the instant runoff), then you ought to know about the Coombs rule," Electoral Studies 23:641-59.
  2. Felsenthal, Dan; Tideman, Nicolaus (2013). "Varieties of failure of monotonicity and participation under five voting methods" (PDF). Theory and Decision. 75 (1): 59–77.
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