8 0.69384 0.77997 10 0.89265 Assume that buyers always bid according to the relevant symmetric equilibrium bidding strategy. Round all numeric answers to at least three decimal places. 00 Q2 Anglo-Dutch auction Consider an Anglo-Dutch auction in which one item is for sale. In the first-round of the auction, buyers bid in an ascending-bid auction. The two buyers with the highest bids proceed to the second round. In the second round, the two remaining buyers submit sealed bids (that cannot be lower than the price at which the bidding stopped in the first round) and the buyer with the highest bid wins the item and pays what he or she bid. Valuations are drawn from the uniform(0, 1) distribution. The following table depicts the valuations for each buyer in the auction. Buyer # 1 0.13134 0.18293 0.18709 4 0.20800 0.33763 6. 0.34580 7 0.35594

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 5MC
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Q2.1

In the second round with two buyers remaining, the probability that a buyer with valuation v wins is vN-1, where N is the number of buyers in the first round. Use the revenue equivalence theorem to derive the symmetric equilibrium bidding function b(v) for the buyers in stage two. Show your work.

Q2.2

At the end of the auction what is the value of the actual (not expected) revenue that the seller receives? Round your answer to at least three decimal spaces.

8
0.69384
0.77997
10
0.89265
Assume that buyers always bid according to the relevant symmetric equilibrium bidding
strategy.
Round all numeric answers to at least three decimal places.
00
Transcribed Image Text:8 0.69384 0.77997 10 0.89265 Assume that buyers always bid according to the relevant symmetric equilibrium bidding strategy. Round all numeric answers to at least three decimal places. 00
Q2 Anglo-Dutch auction
Consider an Anglo-Dutch auction in which one item is for sale. In the first-round of the auction,
buyers bid in an ascending-bid auction. The two buyers with the highest bids proceed to the
second round. In the second round, the two remaining buyers submit sealed bids (that cannot
be lower than the price at which the bidding stopped in the first round) and the buyer with the
highest bid wins the item and pays what he or she bid. Valuations are drawn from the
uniform(0, 1) distribution.
The following table depicts the valuations for each buyer in the auction.
Buyer #
1
0.13134
0.18293
0.18709
4
0.20800
0.33763
6.
0.34580
7
0.35594
Transcribed Image Text:Q2 Anglo-Dutch auction Consider an Anglo-Dutch auction in which one item is for sale. In the first-round of the auction, buyers bid in an ascending-bid auction. The two buyers with the highest bids proceed to the second round. In the second round, the two remaining buyers submit sealed bids (that cannot be lower than the price at which the bidding stopped in the first round) and the buyer with the highest bid wins the item and pays what he or she bid. Valuations are drawn from the uniform(0, 1) distribution. The following table depicts the valuations for each buyer in the auction. Buyer # 1 0.13134 0.18293 0.18709 4 0.20800 0.33763 6. 0.34580 7 0.35594
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