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Suppose the following stage game is repeated twice. Each players payo? is the discounted sum of the payo?s obtained in each period. P2 P2 P2

Suppose the following stage game is repeated twice. Each players payo? is the discounted sum of the payo?s obtained in each period.

P2 P2 P2
A B C
P1 a 0, 0 3, 4 6, 0
P1 b 4, 3 0, 0 0, 0
P1 c 0, 6 0, 0 5, 5

Let image text in transcribed be the discount factor. Find the value of image text in transcribed for which there exists a SPE (Subgame Perfect Equilibrium) in which the strategypro?le (c,C) is played in the ?rst period.

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