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): A general equivalence theorem for allocation of indivisible objects, Journal of Mathematical Economics, 51, 163--177
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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.