Dear Forest, you wrote (8 Dec 2004): > A subset B of candidates is a beat clone set if and only if every member > of the complement of B that beats any member of B beats all members of B, > and any member of the complement of B that is beaten by one member of B is > beaten by all members of B.
In the archieves of this mailing list, beat clone sets are called "subcycles". Here, Mike Ossipoff proposes a subcycle rule: http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/1996-June/000494.html http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/1996-June/000532.html http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/1996-July/000572.html Here, I criticize this subcycle rule for violating Pareto: http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/1997-September/001532.html Here, Mike Ossipoff proposes another subcycle rule: http://lists.electorama.com/pipermail/election-methods-electorama.com/1998-June/001721.html Also this subcycle rule violates Pareto. Therefore, subcycle rules were not discussed anymore since June 1998. Markus Schulze ---- Election-methods mailing list - see http://electorama.com/em for list info
