This paper studies the structure of certain measures of group deprivation in a multi-dimensional framework where, for each individual and each attribute under consideration, the only information that one uses is whether the individual is deprived in terms of that attribute. We first...

This paper develops a conceptual framework, which can accommodate a wide range of value judgments used in ethical evaluations of extended social states and which can be used to differentiate different categories of value judgments by referring to the type of information on which they may be...

Much of game theory is founded on the assumption that individual players are endowed with preferences that can be represented by a real-valued utility function. However, in reality human preferences are often not transitive. This is especially true for the indifference relation, which can lead...

Non-positivity of the generalized substitution effect, non-positivity of the own-price substitution effect, homogeneity of degree zero in all prices and income, and the law of demand are some of the most primitive comparative static results in the standard revealed preference theory of...