In a world admitting a fixed finite set of alternatives, an opinion is an orderedpair of alternatives. Such a pair expresses the idea that one alternative is superior toanother in some sense, and an opinion aggregator assigns a social relation on the set ofalternatives to every possible multiset...

We propose to establish wine rankings using scores that depend on the differences between favorable and unfavorable opinions about each wine, according to the Borda rule. Unlike alternative approaches and specifications, this method is well-defined even if the panelists' quality relations are...

The conditions of strong Condorcet winner consistency and strong Condorcet loser consistency are, in essence, universally accepted. However, there are many situations in which they are silent. The weak counterparts of these properties suffer from the fatal flaw that a weak Condorcet winner can...