3. Consider the following Prisoner's Dilemma game played 7 times:

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Please help me with 3b and explain it in details

3. Consider the following Prisoner's Dilemma game played 7 times:
Player 2
C
D
C
5, 5
1, 8
Player 1
D
8, 1
2, 2
Is it possible to sustain the cooperative outcome (CC) in some Nash
а.
Equilibrium (of the repeated game) for at least some number of periods in the beginning?
If yes, find such a Nash Equilibrium. If no, explain why.
b.
Suppose Player 1 and/or Player 2 can punish each other, so that the repeatedly
played Prisoner's Dilemma game (again 7 periods) looks like this:
Player 2
C
D
N
C
5, 5
1, 8
0, 0
Player 1
8, 1
2, 2
0, 0
N
0, 0
0, 0
1, 1
What is the maximum number of periods during which the players can sustain the
cooperative outcome (CC)?
Transcribed Image Text:3. Consider the following Prisoner's Dilemma game played 7 times: Player 2 C D C 5, 5 1, 8 Player 1 D 8, 1 2, 2 Is it possible to sustain the cooperative outcome (CC) in some Nash а. Equilibrium (of the repeated game) for at least some number of periods in the beginning? If yes, find such a Nash Equilibrium. If no, explain why. b. Suppose Player 1 and/or Player 2 can punish each other, so that the repeatedly played Prisoner's Dilemma game (again 7 periods) looks like this: Player 2 C D N C 5, 5 1, 8 0, 0 Player 1 8, 1 2, 2 0, 0 N 0, 0 0, 0 1, 1 What is the maximum number of periods during which the players can sustain the cooperative outcome (CC)?
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