The logarithmic transformation of the data is useful here for a number of reasons, including correction for heteroscedasticity and allowing the option of interpreting demand behavior in terms of either shares or points bid (since shares=points/price). The one drawback is that for certain firms in certain rounds IPF demand is zero, even though II demand is nonzero for all available firms. In order to keep these firms in the sample, we set the log of IPF demand to zero in these cases.