4. Consider a first-price, sealed-bid auction in which the bidders' valuations are independently and uniformly distributed on [0,1]. Suppose that each bidder uses a strategy of b(vi) = avi. What is the symmetric Bayesian Nash equilibrium of this game when there are n bidders?

4. Consider a first-price, sealed-bid auction in which the bidders' valuations are independently and uniformly distributed on [0,1]. Suppose that each bidder uses a strategy of b(vi) = avi. What is the symmetric Bayesian Nash equilibrium of this game when there are n bidders?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.2P

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Question

4.
Consider a first-price, sealed-bid auction in which the bidders’ valuations are
independently and uniformly distributed on [0,1]. Suppose that each bidder uses a
strategy of b(vi) = avi. What is the symmetric Bayesian Nash equilibrium of this game
when there are n bidders?

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