A game involves two players: player A and player B. Player A has three strategies a1, a2 and a3 while player B has three strategies b1, b2 and b3.       Player B         b1 b2 b3     a1 -40,30 70,20 -10,120   Player A a2 40,60 80,80 60,20     a3 -30,40 -50,110 150, -70               Assuming that this is a one-time game, answer the following questions: Is there any dominant strategy for each player? What is the secure strategy of each player. What is the Nash equilibrium of the game?

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
Chapter16: Bargaining
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A game involves two players: player A and player B. Player A has three strategies a1, a2 and a3 while player B has three strategies b1, b2 and b3.

     

Player B

   
   

b1

b2

b3

 

 

a1

-40,30

70,20

-10,120

 

Player A

a2

40,60

80,80

60,20

 

 

a3

-30,40

-50,110

150, -70

 
           

Assuming that this is a one-time game, answer the following questions:

  1. Is there any dominant strategy for each player?
  2. What is the secure strategy of each player.
  3. What is the Nash equilibrium of the game?
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