The lower orthant dominance relation is frequently used for multidimensional social welfare comparisons. Recently it has been shown that bivariate dominance can be characterized in terms of elementary mass transfer operations. We provide an algorithm which explicitly decomposes the mass...

We introduce the constrained egalitarian surplus-sharing rule fCE, which distributes an amount of a divisible resource so that the poorer agents' resulting payoffs become equal but not larger than any remaining agent's status quo payoff. We show that fCE is characterized by Pareto optimality,...