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1. a) Find all Nash equilibria in pure strategies in the following 4 games. Player 2 A B A 2,2 -2,2 Player 1 B 2,-2

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1. a) Find all Nash equilibria in pure strategies in the following 4 games. Player 2 A B A 2,2 -2,2 Player 1 B 2,-2 -2,-2 ii) Player 2 A B A 3,10 4,7 Player 1 B 2,0 4,2 iii) Player 2 A B C D A 1,0 1,2 4.1 2,1 B 1,2 1,4 3,0 4,2 Player 1 C 0,3 0,1 2,0 2,0 D 2,4 3,2 6,1 0,1 iv) Player 2 A B A -50,2 2,-1 B 6,1 Player 1 2,0 C 3,7 1000,6 b) Are any of the equilibria you found in these 4 games in dominant strategies? If yes, which games and which equilibria? c) Are any of the four games dominance solvable? If yes, which games? d) Are any of the equilibria inadmissible? If yes, which games and which equilibria

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