Uniform-Price Auctions with Adjustable Supply
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form-price auction with adjustable supply, the seller decides how much to sell after receiving the bids so as to maximize its ex post profit. Given N bidders and adjustable supply, all equilibria of the uniform-price auction lead to price on order 1/N3 below the Walrasian price. By contrast, given the usual market-clearing rule it is well-known that the uniform-price auction can lead to equilibrium prices on order 1/N below the Walrasian price.