Consider a first-price sealed bid auction of a single object with two bidders j = 1,2 and no reservation price. Bidder 1′s valuation is v1 = 2, and bidder 2′s valuation is Consider the following auction. Two buyers (i = 1,2) have valuations uni- formly distributed over [0,1]. The good is assigned to the highest bid, but the winner pays the average of his bid and the losing bid. Use the revenue equivalence principle to derive the optimal strategies in a symmetric equilibrium. Assume that the optimal bid is a linear function of the buyer’s valuation: b(vi) = cvi where c is a real number.In the event of a tie, the object is awarded by a flip of a fair coin
Consider a first-price sealed bid auction of a single object with two bidders j = 1,2 and no reservation price. Bidder 1′s valuation is v1 = 2, and bidder 2′s valuation is Consider the following auction. Two buyers (i = 1,2) have valuations uni- formly distributed over [0,1]. The good is assigned to the highest bid, but the winner pays the average of his bid and the losing bid. Use the revenue equivalence principle to derive the optimal strategies in a symmetric equilibrium. Assume that the optimal bid is a linear function of the buyer’s valuation: b(vi) = cvi where c is a real number.In the event of a tie, the object is awarded by a flip of a fair coin
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.8P
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Consider a first-price sealed bid auction of a single object with two bidders j = 1,2 and no reservation price. Bidder 1′s valuation is v1 = 2, and bidder 2′s valuation is Consider the following auction. Two buyers (i = 1,2) have valuations uni- formly distributed over [0,1]. The good is assigned to the highest bid, but the winner pays the average of his bid and the losing bid. Use the revenue equivalence principle to derive the optimal strategies in a symmetric equilibrium. Assume that the optimal bid is a linear function of the buyer’s valuation: b(vi) = cvi where c is a real number.In the event of a tie, the object is awarded by a flip of a fair coin
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