We introduce the concept of a conditional small world event domain--an extension of Savage's [The Foundations of Statistics, Wiley, New York, 1954] notion of a 'small world'--as a self-contained collection of comparable events. Under weak behavioral conditions we demonstrate probabilistic...

Few papers in the literature on inequality measurement deal with uncertainty, particularly when the ranking of cohorts may not be fixed. We present a set of axioms implying such a class of inequality measures under uncertainty that is a one-parameter extension of the generalized Gini mean over...