Abstract
Abstract A division problem is a subset of the utility space representing the alternatives available to a group of agents. A solution is a method of selecting from each division problem in some class an equitable compromise. The egalitarian solution selects the only undominated alternative with equal coordinates. This solution is the only one to satisfy the following axioms: weak Pareto- optimality, symmetry, continuity, monotonicity (if the number of agents increases but not the resources at their disposal, all the original agents should help support the newcomers) and weak stability (the compromise should appear equitable to every subgroup).
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