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Thematic Sessions<br />

ST4: Econometrics<br />

Chair: Marcelo Fernandes<br />

Thursday, September 5th<br />

10:30<br />

Semiparametric Quantile Models for Ascending<br />

Auctions with Asymmetric Bidders<br />

Nathalie Gimenes<br />

PUC/Rio<br />

Asymmetry is a relevant question when bidders of different sizes and technological capability are<br />

competing at the same auction. This issue is especially important if the econometrician provides<br />

the seller with a policy recommendation (auction optimal design) based on a misspecified symmetric<br />

setup, which may bring a significant expected loss to the seller, depending on the degree of<br />

asymmetry. Therefore, a parsimonious and easy estimation approach that accounts for bidders<br />

asymmetry can be very useful for policy analysis. In this paper, we suggest an identification and<br />

estimation approach to recover the latent private value conditional quantile function when bidders<br />

are asymmetric. The estimation strategy is done in two steps: in the first-step, the asymmetric<br />

parameters are estimated via maximum likelihood method; and then used in the second-step to<br />

estimate the type private value conditional quantile functions. The methodology is illustrated using<br />

USFS timber ascending auctions. According to our estimates, Loggers (firms lacking technological<br />

capability to process the timber) provides the US Government with an expected revenue on average<br />

14% lower than Mills.<br />

Keywords: Private values; Asymmetry; Ascending auctions; Seller expected revenue; Quantile<br />

regression identification; Quantile regression estimation<br />

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