Group incentive compatibility in a market with indivisible goods: A comment
指出Bird（1984）关于顶层交易循环（TTC）群体策略证明中的错误，提供修正后的证明，并给出强群体策略证明的新方法。
We note that the proofs of Bird (1984), the first to show group strategy-proofness of top trading cycles (TTC), require correction. We provide a counterexample to a critical claim and present corrected proofs in the spirit of the originals. We also present a novel proof of strong group strategy-proofness using the corrected results. • Bird (1984), first to show top trading cycles is group strategy-proof, has errors. • We present corrected results and proofs. • We present a novel proof of strong group strategy-proofness without non-bossiness.