Suppose there are three bidders with values for the object that are independent, private and uniformly distributed over [0, 1]. a) Derive the seller's expected revenue in a second-price auction. Fully explain your answer. b) Derive the seller's expected revenue in a first-price auction. Fully explain your answer. c) Explain why the answers to parts (a) and (b) are the same. d) Show that the answers to parts (a) and (b) remain the same when there are N bidders. Fully explain your answer.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.10P
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Suppose there are three bidders with values
for the object that are independent, private
and uniformly distributed over [0, 1].
a) Derive the seller's expected revenue in a
second-price auction. Fully explain your
answer.
b) Derive the seller's expected revenue in a
first-price auction. Fully explain your answer.
c) Explain why the answers to parts (a) and (b)
are the same.
d) Show that the answers to parts (a) and (b)
remain the same when there are N bidders.
Fully explain your answer.
Transcribed Image Text:Suppose there are three bidders with values for the object that are independent, private and uniformly distributed over [0, 1]. a) Derive the seller's expected revenue in a second-price auction. Fully explain your answer. b) Derive the seller's expected revenue in a first-price auction. Fully explain your answer. c) Explain why the answers to parts (a) and (b) are the same. d) Show that the answers to parts (a) and (b) remain the same when there are N bidders. Fully explain your answer.
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