When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds

► Finite population with lower and upper bound on consumption of divisible good. ► Axioms: Pareto-efficiency, strategy-proofness, and some new notions of fairness. ► Result 1: characterization of Pareto-efficient rules satisfying two fairness notions. ► Result 2: characterization of Pareto-efficient, strategy-proof, and non-bossy rules.