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This paper studies equilibria of the n-bidder single-object English, or open ascending price, auction in a setting with interdependent values and asymmetric bidders. Maskin (1992) showed that if the values satisfy a "single crossing" condition, then the two-bidder English auction has an efficient equilibrium. In this paper two extensions of the single crossing condition, the "average crossing" condition and the "cyclical crossing" condition, are introduced. The main result is that under eitherdoi:10.2139/ssrn.244653 fatcat:lcigjz7zsfdaxccx375ssksjna