In the film Batman the Joker proposes a prisoner's dilemma. There are two ships A and B. The ships can either cooperate or detonate. The matrix of the model is: C. D C. 2,2 2,1 D 1,2 0,0 Assuming that players play this game infinitely repeatedly, so that after every round the probability that the game is repeated is m with 0 ≤ m ≤ 1. Devise at least two strategies that can be played in this indefinitely repeated game, find their expected payoffs, and find its Nash Equilibrium/Equilibria and the Subgame Perfect Nash Equilibria assuming that only available strategies are the ones you devised. Summarise the main insights from your analysis of the modified game
In the film Batman the Joker proposes a prisoner's dilemma.
There are two ships A and B. The ships can either cooperate or detonate.
The matrix of the model is:
C. D
C. 2,2 2,1
D 1,2 0,0
Assuming that players play this game infinitely repeatedly, so that after every round the probability that the game is repeated is m with 0 ≤ m ≤ 1. Devise at least two strategies that can be played in this indefinitely repeated game, find their expected payoffs, and find its Nash Equilibrium/Equilibria and the Subgame Perfect Nash Equilibria assuming that only available strategies are the ones you devised. Summarise the main insights from your analysis of the modified game
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