The converse consistency principle in bargaining. (Q1864808)

A solution in the context of bargaining is conversely consistent if, whenever, for a problem, a feasible alternative has the property that for all proper subgroups of the agents it involves, the solution chooses the restriction of the alternative to the subgroup for the associated reduced problem this subgroup faces, then the alternative should be the solution outcome for the problem. The author of the present paper investigates the implications of such a converse consistency within the aforementioned context. He presents two alternative characterisations of the egalitarian solution based on converse consistency as well as either weak consistency or population monotonicity, in addition to other standard axioms of weak Pareto optimality, symmetry and continuity.