Consider the folliwng 3 x 3 two player normal form game that is being repeated infinite number of times. The strategy for player 2 is to play Z all the time. Player 1 is confused between two strategies: (i) play C all the time, and (ii) play A all the time. The discounting factor for player 1 is ố1 = 0.52 and the discounting factor for player 2 is 82 = 0.51. Y (31 ,31) (33,22) (18 , 36) (41 ,90) (35 , 56) (41 , 69) B (36 ,31) C (26 , 15) (26 , 53) a. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the first stratgy (playing C all the time). [ b. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the second stratgy (playing A all the time) c. Out of these two strategies, which one should player 1 choose? Why? (Use maximum 3 sentences)

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Consider the folliwng 3 x 3 two player normal form game that is being repeated infinite number of times. The strategy for player 2 is to play Z all the
time. Player 1 is confused between two strategies: (i) play C all the time, and (ii) play A all the time. The discounting factor for player 1 is ố1 = 0.52
and the discounting factor for player 2 is 82 = 0.51.
X
Y
(31 , 31)
(41 , 90)
(36 , 31)
(33, 22)
(18 , 36)
(26 , 53)
A
(35 , 56)
C
(26 , 15)
(41 , 69)
a. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the first stratgy (playing C all the time). [
b. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the second stratgy (playing A all the time).
c. Out of these two strategies, which one should player 1 choose? Why? (Use maximum 3 sentences)
Transcribed Image Text:Consider the folliwng 3 x 3 two player normal form game that is being repeated infinite number of times. The strategy for player 2 is to play Z all the time. Player 1 is confused between two strategies: (i) play C all the time, and (ii) play A all the time. The discounting factor for player 1 is ố1 = 0.52 and the discounting factor for player 2 is 82 = 0.51. X Y (31 , 31) (41 , 90) (36 , 31) (33, 22) (18 , 36) (26 , 53) A (35 , 56) C (26 , 15) (41 , 69) a. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the first stratgy (playing C all the time). [ b. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the second stratgy (playing A all the time). c. Out of these two strategies, which one should player 1 choose? Why? (Use maximum 3 sentences)
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