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We present our results on Uniform Price Auctions, one of the standard sealed-bid multi-unit auction formats, for selling multiple identical units of a single good to multi-demand bidders. Contrary to the truthful and economically efficient multi-unit Vickrey auction, the Uniform Price Auction encourages strategic bidding and is socially inefficient in general, partly due to a "Demand Reduction" effect; bidders tend to bid for fewer (identical) units, so as to receive them at a lower uniformdoi:10.1007/s00224-014-9537-9 fatcat:a56ah3ekj5ftxoepk56ygcsn44