1.) Consider 3x3 game given by the following matrix P2 L M R ...

Question

1.) Consider 3x3 game given by the following matrix
P2
L M R
P1
U 7,6 3,0 6,5
C 1,3 4,4 0,2
D 8,7 2,1 5,8
a) Does IESDS reduce the game? Does it reduce it to a single pair of strategies?
Why or why not?
No IESDS does not reduce the game. This is so since neither for player 1 nor for
player 2 such a strategy exists which strictly dominates any other strategy of that
player. Thus any elimination of...

David · Accepted Answer

1.) Consider 3x3 game given by the following matrix
P2 
L M R 
P1 
U 7,6 3,0 6,5 
C 1,3 4,4 0,2 
D 8,7 2,1 5,8 
a) Does IESDS reduce the game? Does it reduce it to a single pair of strategies? 
Why or why not? 
No IESDS does not reduce the game. This is so since neither for player 1 nor for  
player 2 such a strategy exists which strictly dominates any other strategy of that 
player.

1.) Consider 3x3 game given by the following matrix P2 L M R P1 U 7,6 3,0 6,5 C 1,3 4,4 0,2 D 8,7 2,1 5,8 a) Does IESDS reduce the game? Does it reduce it to a single pair of strategies? Why or why...

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