We provide characterizations of four new rules for individual decision-making under complete uncertainty. They are what we call the min-max rule, the max-min rule, the lexicographic min-max rule and the lexicographic max-min rule. These rules provide orderings of the sets of possible outcomes...

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...