[EM] Beatpath and SSD, Goldfish

[Kevin Venzke]

Can anyone refer me to an explanation of why Schwartz Sequential Dropping
is the same thing as "elect the candidate whose beatpaths to all other candidates
are stronger than the beatpaths back"?

The reasoning for the Schwartz limitation is clear to me (non-Schwartz members
are not useful beatpath nodes), but I am fuzzy on how discarding weakest defeats
obtains the beatpath winner.

In '98 Blake Cretney described a method called "Goldfish 0.3" which was
apparently thought to be equivalent to the beatpath method.  It seemed to work
by successively looking at the greatest defeat, and allowing its victor to
obtain the victories scored by the defeat's loser.  (I believe the loser was
also disqualified from inheriting later victories, although the loser could
be defeated repeatedly.)

http://groups.yahoo.com/group/election-methods-list/message/725
http://groups.yahoo.com/group/election-methods-list/message/789

I don't know if it was decided whether this method was really equivalent.


Kevin Venzke
stepjak at yahoo.fr


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