This paper proposes a simple model for multiple second-price auctions which run parallel to each other, in the sense that though they might not begin or end at the same time, they have certain periods of overlap. We characterize the equilibrium bidding strategy of the buyers and the equilibrium...

The paper considers an ascending price auction with two bidders, in which the buyers are given the additional option to obtain the object immediately by paying a fixed price (the buy-out price). We completely characterize the optimal bidding strategy of the bidder and the optimal buy-out price...