Condorcet Method - Potential For Tactical Voting

Potential For Tactical Voting

Like most voting methods, Condorcet methods are vulnerable to compromising. That is, voters can help avoid the election of a less-preferred candidate by insincerely raising the position of a more-preferred candidate on their ballot. However, Condorcet methods are only vulnerable to compromising when there is a majority rule cycle, or when one can be created.

Many Condorcet methods are vulnerable to burying. That is, voters can help a more-preferred candidate by insincerely lowering the position of a less-preferred candidate on their ballot.

Example with the Schulze method:

46 voters 44 voters 10 voters
1. A 1. B 1. C
2. B 2. A 2. B
3. C 3. C 3. A
  • B is the sincere Condorcet winner. But since A has the most votes and almost has a majority, A can win by publicly instructing A voters to bury B with C (see * below). If B, after hearing the public instructions, reciprocates by burying A with C, C will be elected, and this threat may be enough to keep A from pushing for his tactic. B's other possible recourse would be to attack A's ethics in proposing the tactic and call for all voters to vote sincerely.
46 voters 44 voters 10 voters
1. A 1. B 1. C
2. C* 2. A 2. B
3. B* 3. C 3. A
  • B beats A by 8 as before, and A beats C by 82 as before, but now C beats B by 12, forming a Smith set greater than one. Even the Schulze method elects A: The path strength of A beats B is the lesser of 82 and 12, so 12. The path strength of B beats A is only 8, which is less than 12, so A wins. B voters are powerless to do anything about the public announcement by A, and C voters just hope B reciprocates, or maybe consider compromise voting for B if they dislike A enough.

Supporters of Condorcet methods which exhibit this potential problem could rebut this concern by pointing out that pre-election polls are most necessary with plurality voting, and that voters, armed with ranked choice voting, could lie to pre-election pollsters, making it impossible for Candidate A to know whether or how to bury. It is also nearly impossible to predict ahead of time how many supporters of A would actually follow the instructions, and how many would be alienated by such an obvious attempt to manipulate the system.

33 voters 16 voters 16 voters 35 voters
1. A 1. B 1. B 1. C
2. B 2. A 2. C 2. B
3. C 3. C 3. A 3. A
  • In the above example, if C voters bury B with A, A will be elected instead of B. Since C voters prefer B to A, only they would be hurt by attempting the burying. Except for the first example where one candidate has the most votes and has a near majority, the Schulze method is very immune to burying.

Read more about this topic:  Condorcet Method

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