On 30 Apr 2012 11:46:27 -0700, Markus Schulze wrote: > > Dear Remi, > > in his "Essai sur l'application de l'analyse a la probabilite des > decisions rendues a la pluralite des voix" (Imprimerie Royale, > Paris, 1785), Condorcet gives two different formulations for his > election method. > > On page LXVIII of the Preface of the Essai, he writes: > >> From the considerations, we have just made, we get the general >> rule that in all those situations, in which we have to choose, >> we have to take successively all those propositions that have >> a plurality, beginning with those that have the largest, >> & to pronounce the result that is created by those first >> propositions, as soon as they create one, without considering >> the following less probable propositions. > > On page 126 of the Essai, he writes: > >> Create an opinion of those n*(n-1)/2 propositions which win >> most of the votes. If this opinion is one of the n*(n-1)*...*2 >> possible, then consider as elected that subject to which this >> opinion agrees with its preference. If this opinion is one of >> the (2^(n*(n-1)/2))-n*(n-1)*...*2 impossible opinions, then >> eliminate of this impossible opinion successively those >> propositions that have a smaller plurality & accept the >> resulting opinion of the remaining propositions. > > Markus Schulze >
Markus, To me, the first quote recommends something along the lines of min-max pairwise opposition (MMPO). My reading of your second quote is, essentially, the Schulze method, AKA Cloneproof Schwarz Sequential Dropping. Am I reading that correctly? Ted -- araucaria dot araucana at gmail dot com ---- Election-Methods mailing list - see http://electorama.com/em for list info
