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3. [20] Consider an Edgeworth box economy are given by (a) [5) Find all the Pareto optimal allocations. sing the normalization, P2 = 1, find the Walrasian equilibrium. ully state the first welfare theorem and verify that it holds. dowments had instead been ē1 = (18,15) and (d) [5] Suppose the en = (2,5). Find the Walrasian equilibrium. 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 EF G player 1 B8,9 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 game: player 2 L C R TI 10,4 | 1,2 | 1,0 | player 1 M 6,4 2,0 3,0 В|9,0 | 3,3 | 4,8 Find all the Nash equilibria (including mixed strategy ones).

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19 2. 2 Selvin 204pasueto n 2 d) e·_ ( 13, 15 2

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