We introduce a theory of marginal values and their core stability for cooperative games with transferable utility and arbitrary set systems representing the set of feasible coalitions. The theory is based on the notion of strictly nested sets in a set system. For each maximal strictly nested...

A new procedure, called D D α-procedure, is developed to solve the problem of classifying d-dimensional objects into q ≥ 2 classes. The procedure is nonparametric; it uses q-dimensional depth plots and a very efficient algorithm for discrimination analysis in the depth space [0,1]<Superscript> q </Superscript>....</superscript>

The paper investigates Lorenz dominance and generalized Lorenz dominance to compare distributions of economic status in one and several attributes. Restrictions of these dominance relations are developed that focus on central parts of the distributions and facilitate their comparison. Copyright...

The paper investigates Lorenz dominance and generalized Lorenz dominance to compare distributions of economic status in one and several attributes. Restrictions of these dominance relations are developed that focus on central parts of the distributions and facilitate their comparison. Copyright...