Consider the repeated game in which the following stage game is played twice in succession, with payoffs averaged between the two rounds (and no discounting). d e 0,0 b| 0,10 18, 18 48,10 10, 48 40, 40 a 4y, 4y 10,0 0,0 Set the parameter y equal to 1 (a) If (a, d) is played in the first period and (b, e) is played in the second period, what is the resulting (repeated game) payoff for the row player? (b) What is the highest payoff any player can receive in any subgame perfect Nash equilibrium of the repeated game?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the repeated game in which the following stage game is played twice in
succession, with payoffs averaged between the two rounds (and no discounting).
d
e
0,0
b| 0,10 18, 18 48,10
10, 48 40, 40
a 4y, 4y 10,0
0,0
Set the parameter y equal to 1
(a) If (a, d) is played in the first period and (b, e) is played in the second period, what
is the resulting (repeated game) payoff for the row player?
(b) What is the highest payoff any player can receive in any subgame perfect Nash
equilibrium of the repeated game?
Transcribed Image Text:Consider the repeated game in which the following stage game is played twice in succession, with payoffs averaged between the two rounds (and no discounting). d e 0,0 b| 0,10 18, 18 48,10 10, 48 40, 40 a 4y, 4y 10,0 0,0 Set the parameter y equal to 1 (a) If (a, d) is played in the first period and (b, e) is played in the second period, what is the resulting (repeated game) payoff for the row player? (b) What is the highest payoff any player can receive in any subgame perfect Nash equilibrium of the repeated game?
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