A necessary and sufficient condition for an input to be inferior is that, taking into account the input adjustment, an increase of its price raises the marginal productivity of all inputs. Contrary to a widespread opinion, it is not necessary that (some) inputs are “rivals” (i.e., that some...

We study a class of symmetric, quasi-homothetic preferences that result in demands logarithmic in own prices when these have a negligible impact on aggregate price indices (as in monopolistic competition models). Thus marginal revenues are computationally friendly, and decreasing whenever...

According to the so-called Exclusion Principle (introduced by Baye et alii, 1993), it might be profitable for the seller to reduce the number of (fullyinformed) potential bidders in an all-pay auction. We show that the Exclusion Principle does not apply if the seller regards the bidders' private...

We study the equilibrium of the all-pay auction with complete information and a reserve price, and compare it with that of standard auctions. The seller should set a reserve price even when she faces incomplete information. In the latter setting, ex-ante asymmetry among bidders appears necessary...