[EM] Markus, criteria

[Markus Schulze]

Dear Alex,

you wrote (1 March 2005):
> That's not entirely true.  The famous Gibbard-Satterthwaite (GS)
> Theorem makes reference to preferences.  The theorem, crudely
> speaking, says that there's no ranked election method that
> doesn't, from time to time, give voters an incentive to vote
> insincerely.  You could think of the method by first imagining
> that every voter votes sincerely.  Then, based on tallies of
> sincere votes, ask if any of the voters would have preferred
> the outcome that would have obtained if he or she individually
> had voted differently.  The theorem says that there will always
> be cases where at least one voter would have been happier if he
> or she had voted insincerely.

That's not entirely true. It is something completely different
whether someone (like Gibbard or Satterthwaite) refers to sincere
preferences in the motivations of his criteria and then defines
his criteria in terms of cast preferences or whether someone
(like Mike Ossipoff) defines his criteria in terms of
sincere preferences.

Markus Schulze