Consistency Criterion

A voting system is consistent if, when the electorate is divided arbitrarily into two (or more) parts and separate elections in each part result in the same choice being selected, an election of the entire electorate also selects that alternative. Smith calls this property separability and Woodall calls it convexity.

It has been proven a ranked voting system is consistent if and only if it is a positional voting system. Borda count is an example of this.

The failure of the consistency criterion can be seen as an example of Simpson's paradox.

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