Dynamic Monopolies with Stochastic Demand
This paper analyzes equilibria in sequential take-it-or-leave-it sales and sequential auctions when demand is stochastic. It is shown that equilibria in the former mechanism trade-off allocative efficiency and competing buyers' opportunities to acquire an item to be sold, permitting prices and expected revenue above those of one-shot offers and sequential auctions. Hence Coase-type conjectures are invalid, and optimal sequential auctions can be dominated. This provides one explanation why some goods are typically sold in take-it-or-leave-it deals, while others are sold in auctions. An asymptotic revenue equivalence result is shown to reconcile the two mechanisms as the time horizon of the dynamic game gets large.
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