2011/12/06 by Alessandro Chiesa, Silvio Micali, Chiesa, Alessandro +3
Decision Sciences · #Auction Theory and Applications #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences
paper · pdf · doi:10.48550/arxiv.1112.1147
openalex publication_date 2011/12/06 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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 that achievable by assigning the good to a random player. On the positive side, we provide tight upper and lower bounds for the fraction of the maximum social welfare achievable in undominated strategies, whether deterministically or probabilistically.