Abstract
Social choice theory results facilitate the constitutional choice in indicating whether group- choice methods are compatible or incompatible with given criteria of performance. Probability models aim at augmenting these results by indicating how often one can expect to violate a given criterion by resorting to a procedure. Upon closer inspection it, however, turns out that this claim cannot be achieved through those designs that one finds in the literature. This does not mean that the probability models were useless, though. They are very informative in indicating how far apart are various intuitions underlying social choice methods.
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