[EM] Is "Inverse Nanson" better than standard Nanson?
Markus Schulze
schulze at sol.physik.tu-berlin.de
Thu Jul 5 00:53:02 PDT 2001
Dear participants,
due to Condorcet, a "proposition" is a statement of the
form: "X is better than Y." An "opinion" is a set of
n*(n-1)/2 propositions (one for each pair of candidates).
A "possible opinion" is a set of n*(n-1)/2 propositions
(one for each pair of candidates) that is compatible to
a ranking. An "impossible opinion" is a set of n*(n-1)/2
propositions (one for each pair of candidates) that is
incompatible to every ranking.
Due to Condorcet, when one "eliminates" a proposition of
an opinion then one still has an opinion. Therefore, it
is clear that "eliminating" can only mean "inverting".
Markus Schulze
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