1    \     2 a b c A 2,2 2,1 0,0 B 3,1 3,0 1,3 C 1,3 3,2 3,1   a)    Eliminate iteratively all strictly dominated strategies.                            b)    Find all Nash

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 4MC
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1    \     2

a

b

c

A

2,2

2,1

0,0

B

3,1

3,0

1,3

C

1,3

3,2

3,1

 

a)    Eliminate iteratively all strictly dominated strategies.                           

b)    Find all Nash equilibria.                                                                             

c)    What is the player 1’s best response to the strategy σ2 = (z , ½ , ½ - z) of player 2, where z is a parameter that lies in the closed interval [0, ½].

 

d)    Compute the payoffs to player 1 and to player 2 for their respective strategy profiles σ1 = (0,½,½) and σ2 = (½,0,½).                                                                                                                                                                                                                                                                                                                                   

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