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We study single-good auctions in a setting where each player knows his own valuation only within a constant multiplicative factor δ in (0,1), and the mechanism designer knows δ. The classical notions of implementation in dominant strategies and implementation in undominated strategies are naturally extended to this setting, but their power is vastly different. On the negative side, we prove that no dominant-strategy mechanism can guarantee social welfare that is significantly better than thatarXiv:1112.1147v1 fatcat:3gmtmvoeczdoneua3pauvqwj6a