David R. MacIver's Blog

An interesting hypothetical election

Here is an election:

• 1, 4, 2, 3, 5
• 2, 3, 5, 4, 1
• 2, 5, 4, 1, 3
• 3, 2, 5, 1, 4
• 3, 5, 2, 1, 4
• 3, 5, 2, 4, 1
• 4, 1, 3, 2, 5
• 4, 2, 5, 3, 1
• 4, 3, 2, 5, 1
• 5, 4, 1, 2, 3
• 5, 4, 2, 1, 3

Where each is a vote cast for one of 5 candidates, ordered from favourite to least favourite.

Why is it interesting? Because it produces different answers depending on which of three popular Condorcet voting systems you use.

The Smith set for this election is 2, 3, 4, 5. The Kemeny young winner is 4, the Schulze method winner is 2, and the ranked pairs winner is 5.

More in this vein possibly to follow.

Comments

Some more small elections | David R. MacIver on 2014-12-07 19:35:06:

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