Question 1 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 v1 = 5. Both v1 and v2 are known to both bidders. Bids must be in whole dollar amounts. In the event of a tie, the object is awarded by a flip of a fair coin. (a) Find an equilibrium of this game. (b) Is the allocation of your answer to (a) efficient?
Question 1 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 v1 = 5. Both v1 and v2 are known to both bidders. Bids must be in whole dollar amounts. In the event of a tie, the object is awarded by a flip of a fair coin. (a) Find an equilibrium of this game. (b) Is the allocation of your answer to (a) efficient?
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter18: Auctions
Section: Chapter Questions
Problem 9MC
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Question 1 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
v1 = 5. Both v1 and v2 are known to both bidders. Bids must be in whole dollar amounts.
In the event of a tie, the object is awarded by a flip of a fair coin.
(a) Find an equilibrium of this game.
(b) Is the allocation of your answer to (a) efficient?
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