I'd like to have a mathematical version of the following two definitions just because I remember symbols better than words. But I lack the math prowess to convert them from words to symbols. Can someone assist me?
A feasible allocation is weakly Pareto-optimal if there is no alternative (feasible) allocation such that everyone prefers the alternative to the original.
A feasible allocation is strongly Pareto-optimal if there is no alternative (feasible) allocation such that at least one person prefersthe alternative, and everyone else is indifferent.