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- W2152846304 abstract "In many settings the power of truthful mechanisms is severely bounded. In this paper we use randomization to overcome this problem in the multi-unit auction setting. In particular, we construct a fully polynomial-time approximation scheme (FPTAS) for multi-unit auctions that is truthful in expectation, whereas there is evidence that no polynomial-time truthful deterministic mechanism provides an approximation ratio better than 2. We leverage the FPTAS to show for the first time that truthful in expectation polynomial-time mechanisms are provably stronger than polynomial-time universally truthful mechanisms. Specifically, we show that there is a setting, related to multi-unit auctions, in which (1) there is a nonpolynomial time truthful mechanism that always outputs the optimal solution, and that (2) no universally truthful randomized mechanism can provide an approximation ratio better than 2 in polynomial time, but (3) an FPTAS that is truthful in expectation exists." @default.
- W2152846304 created "2016-06-24" @default.
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- W2152846304 date "2013-01-01" @default.
- W2152846304 modified "2023-09-27" @default.
- W2152846304 title "On the Power of Randomization in Algorithmic Mechanism Design" @default.
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- W2152846304 doi "https://doi.org/10.1137/090780146" @default.
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