On preference domains satisfying the top-two condition, TTC is the unique individually rational, pair-efficient, and strategy-proof mechanism; for up to four objects this condition is also necessary.
(2014): Top trading with fixed tie-breaking in markets with indivisible goods, Journal of Economic Theory, 151, 64--87
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TTC Domains
On preference domains satisfying the top-two condition, TTC is the unique individually rational, pair-efficient, and strategy-proof mechanism; for up to four objects this condition is also necessary.