This paper discusses the theoretical and practical aspects of new methods for solving DEA problems under real-life geometrical uncertainty and probability uncertainty of sample data. The proposed minimax approach to solve problems with geometrical uncertainty of sample data involves an...

A weighted game or a threshold function in general admits different weighted representations even if the sum of non-negative weights is fixed to one. Here we study bounds for the diameter of the corresponding weight polytope. It turns out that the diameter can be upper bounded in terms of the...

This paper presents the conditions required for a profile in order to never exhibit either the strong or the strict Borda paradoxes under all weighted scoring rules in three-candidate elections. The main particularity of our paper is that all the conclusions are extracted from the differences of...

We study the problem of determining memberships to the groups in a Boolean algebra. The Boolean algebra is composed of basic groups (e.g., “J” and “K”) and the other groups that are derived from basic groups through the conjunction, disjunction, or negation operations (e.g., “J and...

We study divisor methods, the primary class to solve apportionment problems, based upon Stolarsky means S(alphabeta). These encompass the five traditional methods. We disclose a one-to-one relation between methods of the form S(alpha1) and aggregate measures of seat/vote disproportionality of...

This article studies optimal portfolio decisions with (long-term) liabilities for small-open economy based investors, including the optimality of currency hedging (Walker (2008a)). The representative investor is based in Chile, but results are likely to hold more generally. The problem is set up...