Chapter | Thirteen
Equilibrium and
Efficiency with
Private Values
The previous chapter outlined the workings of some auction formats for the
sale of multiple units of the same good. These formats differed in the manner in
which prices at which the units were sold were determined, and we now examine
how the different pricing rules affect bidding behavior. As in the case of a single
object, we begin by considering the different auctions in a model where bidders’
values are private and independently distributed, and again as a first step, we
assume that bidders are ex ante symmetric.
13.1 THE BASIC MODEL
There are K identical objects for sale and N potential buyers are bidding for
these. Bidder i’s valuation for the objects is given by a private value vector ...