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Solve clearly Consider the strategic form of the simultaneous-move game below: Player 2 Left Right Player ! Up 2, 2 4, 0 Down 0. 4

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Solve clearly

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Consider the strategic form of the simultaneous-move game below: Player 2 Left Right Player ! Up 2, 2 4, 0 Down 0. 4 6. 6 a. For this simultaneous-move game: i. Find all pure strategy Nash equilibria and explain your reasoning. [4 marks] ii. Are there any dominant strategy Nash equilibria? Explain [3 marks] iii. Find all mixed strategy Nash equilibria. [5 marks]b. Now consider the game as a sequential-move game. Player 2 moves first. Player 1 observes Player 2's actions and then chooses her strategy. Determine the Nash equilibrium and explain your reasoning. [5 marks] 11. Are there any sub-game perfect Nash equilibria? Explain. [3 marks]

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