Alternative Schwartz Definition

Mike Ositoff ntk at
Sun Oct 4 04:28:39 PDT 1998

Alternative Schwartz set definition:

1. An "unbeaten set" is a set of alternatives none of which
   are beaten from outside that set.

2. A small unbeaten set is an unbeaten set that doesn't contain
   a smaller unbeaten set.

3. The Schwartz set is the set of alternatives that are
   in small unbeaten sets.


This is equivalent to the beat-path definition of the
Schwartz set.


p.s. It's occurred to me that, since there are only 3
main methods advocated here--VA, Margins, & IRO, if someone
doesn't designate a method, then it could be assumed that
they would designate whichever of the above 3 methods
complies with the standard that they've ranked 1st. 

Since Schwartz seems to be agreed to be the best Condorcet
version proposed so far, then it would seem reasonable to
use VA Schwartz if if someone's favorite standard is met
by VA, or Margins Schwartz if someone's favorite standard
is met instead by Margins.

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