We provide a Bayes–Nash equilibrium analysis of the simultaneous ascending auction (SAA) when local bidders interested in a single item compete against global bidders interested in aggregating many items. We first assume that each local bidder values only a specific item, e.g. the license for...

This paper identifies two notions of substitutes for auction and equilibrium analysis. Weak substitutes, the usual price-theory notion, guarantees monotonicity of Tatonnement processes and convergence of clock auctions to a pseudo-equilibrium, but only strong substitutes, which treats each unit...