The authors give TIE mechanisms that guarantee 1/(H_n + 2)-MMS ex-post (nearly optimal for ordinal), Omega(1/log log n) with some cardinal data, and 2/3-MMS for two agents, all ex-ante proportional and polynomial-time.
As no item hasv ′ 2 value larger than 2 3, andv ′ 2 ≥v 2, thev 2 value of the firstsitems inσis at least 2 3, and at most 4 3, as desired
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Truthful-in-Expectation Mechanisms for MMS Approximation
The authors give TIE mechanisms that guarantee 1/(H_n + 2)-MMS ex-post (nearly optimal for ordinal), Omega(1/log log n) with some cardinal data, and 2/3-MMS for two agents, all ex-ante proportional and polynomial-time.