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.
The mechanism is truthful since lying can only cause an agent to get a less preferred good when choosing
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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.