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Wireless Network Design: Optimization Models and Solution ...

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7 Spectrum Auctions 155<br />

focused on getting it right the first time, since as he stated in the preface to Milgrom<br />

[41]:<br />

It was my view that whatever method was used in the first FCC auction, if it appeared<br />

successful, would become the default method for all future auctions.<br />

The FCC hoped to encourage participation by new entrants while simultaneously<br />

allowing existing cellular licensees to acquire holdings that were complementary to<br />

their existing holdings. Since different business plans required very different aggregations,<br />

it was not clear how to optimally subdivide the country <strong>and</strong> the sequential<br />

auctioning of different lots would hamper a bidder’s ability to aggregate licenses of<br />

complementary regions.<br />

The FCC chose a novel auction design by choosing to auction all licenses simultaneously.<br />

Bidders could bid on any item until the bidding stopped on all items.<br />

Within each round, the auctioneer examines all bids on a given item, <strong>and</strong> announces<br />

that a bidder is “provisionally winning” if that bidder has the highest bid on that<br />

item in that round. A “provisionally winning bidder” is responsible for paying his<br />

bid price unless outbid by another bidder in a later bidding round. When there are<br />

two bidders with the same high bid, the provisionally winning bidder is chosen r<strong>and</strong>omly<br />

among those with the high bid.<br />

Thus, bidders examined the current round prices of all of the licenses <strong>and</strong> choose<br />

a set of licenses that fit their business plan. Prices of substitutable licenses would remain<br />

relatively similar, <strong>and</strong> a bidder had the flexibility to alter their business plans as<br />

licenses rose in value. Although this auction design did not allow bidders to package<br />

licenses into “all or nothing” bids, bidders had the flexibility to move among different<br />

b<strong>and</strong> plans <strong>and</strong> collect a sufficient group of licenses to develop usable business<br />

plans.<br />

Another novel feature of this design was the concept of an activity rule whereby<br />

each bidder is required to participate throughout the auction. The activity rule was<br />

based on a “bidding unit” concept whereby a bidding unit relates to both the population<br />

<strong>and</strong> the spectral size (as measured in megahertz) of the b<strong>and</strong> (often referred to<br />

as “MHz pops”). Thus, licenses were ranked by size, a license covering New York,<br />

for example, had more bidding units associated with it than a license covering a<br />

rural area in Montana. A bidder had to secure bidding units prior to the start of the<br />

auction by way of a refundable upfront payment. Based on this upfront payment,<br />

bidders were “eligible” to bid on no more than a given number of bidding units.<br />

The bidder was then forced to consider all of its bids <strong>and</strong> assure that the number<br />

of bidding units associated with the bids placed in a round met an activity requirement<br />

(normally stated as a required percentage of a bidder’s eligibility). If the bid<br />

did not meet this requirement, then the bidder was threatened with a reduction in its<br />

eligibility, thereby limiting the number of bidding units that it could bid on in the<br />

future. By forcing bidders to bid each round or lose eligibility, the relative value of<br />

items (i.e. price information about the items for lease) was provided to bidders each<br />

round. There were also penalties imposed for bidders that defaulted on a winning<br />

bid. Thus, as the auction progresses <strong>and</strong> prices rise, the activity rule forces bidders<br />

to place binding pledges at the current prices or leave the auction. This rule pre-

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