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Exercise 6.8. Consider the following extensive-form game with cardinal payoffs: R 1 Player I's payed 0 player To payull 0 player Ju payed M 2 X 2 ooo 3 b a b O - O -NN Ooo (a) Find all the pure-strategy Nash equilibria. Which ones are also subgame perfect? (b) [This is a more challenging question] Prove that there is no mixed-strategy Nash equilibrium where Player 1 plays Mwith probability strictly between 0 and 1