Re: Constitutional amendment: Condorcet/Clone Proof SSD vote tallying

[Markus Schulze <markus.schulze@alumni.tu-berlin.de>]

Dear Raul,

here is a simpler example.

   8 ABC
   7 BCA
   5 CAB

   A:B=13:07
   A:C=08:12
   B:C=15:05

   Suppose, that the quorum is 10 and the default
   option is A. Then the winner according to
   Manoj's May 15 proposal is C.

   If there was a second election and the voters don't
   change their minds, then the winner (according to
   Manoj's May 15 proposal) of this second election
   would be B.

   If there was a third election and again the voters
   don't change their minds, then the winner (according to
   Manoj's May 15 proposal) of this third election would
   be A.

In short: The winner according to Manoj's May 15 proposal
can be cyclic even when the voters don't change their minds.
This is caused by the fact that _direct defeats_ can be
cyclic. On the other side, _beat path defeats_ cannot be
cyclic. Therefore, the winner according to my proposal
cannot be cyclic when the voters don't change their minds.

Markus Schulze