Suppose there are N bidders competing for a single object in an all-pay auction. Each bidder has an i.i.d value vi for the object drawn from some continuous distribution F with support [0, M ].   (a) Show that there is a symmetric equilibrium in increasing strategies.   (b) What is the expected revenue generated by this auction in the equilibrium from (a)? Elaborate the explanation on both the answers.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.8P
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Suppose there are N bidders competing for a single object in an all-pay auction. Each bidder has an i.i.d value vi for the object drawn from some continuous distribution F with support [0, M ].

 

(a) Show that there is a symmetric equilibrium in increasing strategies.

 

(b) What is the expected revenue generated by this auction in the equilibrium from (a)? Elaborate the explanation on both the answers.

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