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Player B Left Right Top 2, 1 0, 0 Player A Bottom 1, 1 1, 2 For questions 1-4, consider this as a simultaneous-move (static)

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Player B Left Right Top 2, 1 0, 0 Player A Bottom 1, 1 1, 2 For questions 1-4, consider this as a simultaneous-move (static) game: 1) Write down the Best Response Correspondence for each of the two players. 2) How many Nash Equilibria in pure strategies does this game have? Find them. 3) Is there any Nash Equilibria in mixed strategies? If so, find it. 4) Is there any Dominant Strategy equilibrium? If so, describe it. For questions 5 and 6, assume the payoff structure is the same, but the game is sequential (dynamic). Player A will move first. Player B observes and then moves. 5) Draw the corresponding game tree. 6) Find the backward-induction equilibrium of this dynamic game

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