Sharing an increase of the rent fairly

Wecharacterize the familyofnon-contestablebudget-monotone rules for the allocation of objects and money as those obtained by maximizing a min social welfare function among all non-contestable allocations. We provide three additional seemingly independent approaches to construct these rules. We present three applications of this characterization. First, we show that one can “rectify” any non-contestable rule without losing non-contestability. Second, we characterize the preferences that admit, for each budget, a non-contestable allocation satisfying a minimal or maximal individual consumption of money constraint. Third, we study continuity properties of the non-contestable correspondence. JEL classification: D61; D63; D70.