Serial-quota mechanisms are the only strategy-proof non-bossy neutral mechanisms for indivisible goods allocation under lexicographic, all strict ordinal, and additive cardinal preferences, without needing Pareto efficiency.
Strategy-proofness and the strict core in a mar ket with indivisibilities
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On Truthful Mechanisms without Pareto-efficiency: Characterizations and Fairness
Serial-quota mechanisms are the only strategy-proof non-bossy neutral mechanisms for indivisible goods allocation under lexicographic, all strict ordinal, and additive cardinal preferences, without needing Pareto efficiency.