IRV inconsistency

DEMOREP1 at aol.com DEMOREP1 at aol.com
Wed May 16 14:31:44 PDT 2001


Mr. Schulze wrote--

here is an example that shows that the Condorcet criterion
and the consistency criterion are incompatible.

   40 voters vote A > B > C.
   35 voters vote B > C > A.
   25 voters vote C > A > B.

Case 1: Suppose that candidate A is elected. Then when you add
51 A > C > B voters and 49 C > B > A voters, the winner is
changed to candidate C.

Case 2: Suppose that candidate B is elected. Then when you add
51 B > A > C voters and 49 A > C > B voters, the winner is
changed to candidate A.

Case 3: Suppose that candidate C is elected. Then when you add
51 C > B > A voters and 49 B > A > C voters, the winner is
changed to candidate B.
---
D-- Who, if anybody, gets 51 YES votes in the 100 voters group or 101 YES 
votes in the 200 voters group ???



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