In the presence of resale and under more general assumptions than Zhengʼs (2002), implementation of Myersonʼs (1981) optimal allocation with two bidders is achieved through the second-price auction. In a special class of asymmetric n-bidder models, it is achieved through the English auction.

We prove that, around the symmetric case, where the values are identically distributed, the equilibrium of the first price auction is jointly differentiable with respect to general bidder-specific parameters of the value distributions. We show that the revenue equivalence between the first-price...

When the price setter in post-auction resale is chosen according to exogenous probabilities, Hafalir and Krishna (2008) [2] showed that the first-price auction brings more expected revenues than the second-price auction with truth-bidding bidders. We complete their revenue ranking by proving...