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中级微观经济学代考 ECON 3101代写 博弈论代写 经济学代考

93

Section: Game Theory

This section, Game Theory, has 3 questions. Choose two of them to answer. Note, the questions you decide to choose, independently of which, is worth 15 points.

Show all your work for full credit. Clearly identify your final answer. Show any relevant calculations neatly.

Question 1

Consider the following normal form game with two players:

1. Define a best response. (Points: 3)

2. Find all the best responses, in pure strategies, for both agents. (Points: 4)

3. Find all Nash equilibrium in this game (present all your calculations neatly). (Points: 5)

4. Considering the notion of a pair of best responses (a fixed point), explain why {M,U} is not a stable outcome. (Points: 3)

Question 2中级微观经济学代考

Consider the following game in its normal form:

1. Define a strictly dominated strategy. (Points: 3)

2. Use IESDS to find the reduced game, that is, one that does not contain strictly dominated strategies (remember, at each step you should identify which strategy is eliminated, and which

strategy it is strictly dominated by). (Points: 12)

Question 3中级微观经济学代考

Consider the following game in extensive form:

1. What is the set of pure strategies for each player? (Points: 3)

2. Solve this game using backward induction. What is the SPE? (Points: 6)

3. If P2 told P1 to play E, because it would play Pr, should P1 believe this or not? (Points: 3)

4. Is the SPE payoff Pareto efficient? If yes, explain why. If not, provide an alternative payoff to justify your answer. (Points: 3)

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