The purpose of this paper is to prove the existence of an allocation that is fair, when the preferences of all agents are quasi-linear and when no two individuals can share an object. However, we allow for the possibility that not all assignments of object be necessarily feasible. An allocation...

The class of bivariate extreme value copulas, which satisfies the monotone regression positive dependence property or equivalently the stochastic increasing property, is considered. A variational calculus proof of the Hutchinson-Lai conjecture about Kendall's tau and Spearman's rho for this...

This work proposes a globally convergent algorithm, based on gradient projections, for maximum likelihood (ML) estimation under linear equality and inequality restrictions (constraints) on parameters. The proposed algorithm has wide applicability, and as an important special case its application...

We define an between finite simple graphs and use it to define an equivalence relation on the set of natural numbers. The least integers of the equivalence classes serve as canonical code numbers for graphs and this new integer sequence we call the sequence of Characterizations of the...