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.
(2019): Matching with single-peaked preferences, Journal of Economic Theory, 180, 81--99
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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.