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8,2 4. [20] Answer the following. (a) [5] Explain the difference between strategy S; strictly dominating strategy s, and strategy s', weakly dominating strategy s.
8,2 4. [20] Answer the following. (a) [5] Explain the difference between strategy S; strictly dominating strategy s, and strategy s', weakly dominating strategy s. (b) [5] Consider the following game: player 2 E F G H A 0,5 7,3 3,8 4,3 B 9,8 4,8 4,10 player 1 0,3 5,0 9,10 4,2 D 10,10 3, 10 0,12 0,8 Does any player have a strictly dominant strategies? Find the strictly dominant strategies solution and the iterated elimination of strictly dom- inated strategies solution, if any. (c) (10) Consider the following game: player 2 R player 1 T 2,10 0,0 3,3 B 0,0 5,1 5,0 Find all the Nash equilibria (including mixed strategy ones)
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