3. [20] Consider an Edgeworth box economy are given by (a) [5) Find all the Pareto...
(2,5). Find the Walrasian equilibrium. 4. 120] Answer the following. (a) 14 Explain the difference between a strategy that is a best response versus a strategy that is strictly dominant. (b) (6) Consider the following game: player 2 D E F C A 3,7 7,3 1,2 4,3 player 1 B 8,9 8,5 2,8 5,2 C 0,10 7,01,9 2,2 Find the strictly dominant strategies solution and the iterated elimination of strictly dominated strategies solution, if any. (c) [10] Consider the following...
4. [20] Answer the following. (a) [4] Explain the difference between a strategy that is a best response versus a strategy that is strictly dominant. (b) (6) Consider the following game: player 2 D E F G A 3,7 7,3 1,2 4,3 player 1 B 89 8,5 2,8 5,2 C | 0.10 | 7.0 | 1.9 | 2.2 Find the strictly dominant strategies solution and the iterated elimination of strictly dominated strategies solution, if any. (c) [10] Consider the following...
3. 20 Consider an Edgeworth box are given by lgeworth box economy where preferences and endowments (a) (5] Find all the Pareto optimal allocations. (b) 15] Using the normalization, p2 1, find the Walrasian equilibrium. (c) [5) Carefully state the first welfare theorem and verify that it holds. (d) [5] Suppose the endownments had instead been al (18, 15) and - (2,5). Find the Walrasian equilibrium.
4. [20] Answer the following. (a) (5) State the relationship between strictly dominant strategies solution and iterated elimination of strictly dominated strategies solution. That is, does one solution concept imply the other? (b) (5) Consider the following game: player 2 E F G H A-10,6 10.0 3,8 4.-5 player 1 B 9,8 14,8 4.10 2,5 C-10,3 5,9 8.10 5,7 D 0,0 3,10 8,12 0,8 Does any player have a strictly dominant strategies? Find the strictly dominant strategies solution and the...
3. 120) Consider an Edgeworth box ecomomy where preferences and endowmente are given by (a) [5] Find all the Pareto optimal allocations. (b) Using the normalization, P2 = 1, find the Walrasian equilibrium. (c) [5] Carefully state the first welfare theorem and verify that it holds (d) [5] Suppose the endowments had instead been e (18,15) and- (2,5). Find the Walrasian equilibrium. 4. 20 Answer the following urm astrategy that is a best response versus
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1. Consider the following two-player game in strategic form: T4,5 3,0 0,2 M 5,2 2, 1,0 B0,02,84,2 (a) What strategies are rationalizable? (b) What strategies survive the iterative elimination of strictly dominant strategies? (c) What strategies are ruled out by the assumption of rationality alone (i.e, without the assumption of common knowledge)? (d) Find all pure-strategy nash equilibria.
1. Consider the following two-player game in strategic form: T4,5...
Are there 5 pure strategies Nash
equilibrium?
- 3,0 8,5 Y2,1 6,4 D3,2 Consider the extensive form game of complete and imperfect information above. The number of pure strategy Nash Equilibrium in the game is (Please, type only numerical values, for example: 0, 1, 2, 3,...)
omy where preferences and endowments 2. /20) Consider an Edgeworth box econ are given by d(z, zl) = (zl): (x), ei = (6,6) (a) 4 Carefully state the theorem regarding thé 'existence of a Walrasian equilibrium that was given in the lectures. (b) [6) Using the normalization p2 - 1, find the Walrasian equilibrium. (c) 4] Carefully state the Walras' Law and verify that it holds. (d) [6] Can the allocation ((5,23.4), (5, 2.6)) be supported as an equi- librium...
Problem 2: Consider the following normal form game: | A | B | C D L 2 ,3 -1,3 0,0 4,3 M -1,0 3,0 / 0,10 2,0 R 1,1 | 2,1 3,1 3,1 Part a: What are the pure strategies that are strictly dominated in the above game? Part 6: What are the rationalizable strategies for each player? What are all the rationalizable strategy profiles? Part c: Find all of the Nash equilibria of the game above.
4. Consider the following game matrix: LCR T 3 ,1 0,0 4,1 M10, 02, 24, 3 B 7,6 | 1,2 3,1 (a) Find all the strictly dominated (pure) strategies for each player. (b) Find all the weakly dominated (pure) strategies of each player. (c) Does the game has a strict dominant strategy equilibrium?