This article studies design competition in government procurement by d
eveloping a model of two-dimensional auctions, where firms bid on both
price and quality, and bids are evaluated by a scoring rule designed
by a buyer. Three auction schemes-first score, second score, and secon
d preferred offer-are introduced and related to actual practices. If t
he buyer can commit to a scoring rule in his best interest, the result
ing optimal scoring rule underrewards quality relative to the buyer's
utility function and implements the optimal outcome for the buyer unde
r first- and second-score auctions. Absent the commitment power, the o
nly feasible scoring rule is the buyer's utility function, under which
(1) all three schemes yield the same expected utility to the buyer, a
nd (2) first- and second-score auctions induce the first-best level of
quality, which turns out to be excessive from the buyer's point of vi
ew.