1. Consider the following game in normal form: Player 2 a b c d A 4,2 0,0 0,1 5,0 B 0,0 2,4 1,3 0,3 C 1,3 0,2 0,3 2,2 D

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1 Consider The Following Game In Normal Form Player 2 A B C D A 4 2 0 0 0 1 5 0 B 0 0 2 4 1 3 0 3 C 1 3 0 2 0 3 2 2 D 1 (40.01 KiB) Viewed 23 times

1. Consider the following game in normal form: Player 2 a b c d A 4,2 0,0 0,1 5,0 B 0,0 2,4 1,3 0,3 C 1,3 0,2 0,3 2,2 D 2,7 0,6 0,4 2,6 Player 1 (a) (5 points) Identify all the strictly dominated strategies for each player, if any. Explain. (Dominated by which strategy?) (b) (10 points) What strategies are eliminated through iterative deletion of strictly dominated strategies? Is the game dominance solvable? Justify all your answers. (c) (5 points) Identify all the pure strategy Nash equilibria for this game. Explain. (Why they are the equilibria.) (d) (10 points) Identify all the mixed strategy Nash equilibria for this game. Explain. (Why they are the equilibria.) (e) (10 points) Identify the set of trembling hand perfect equilibria for this game. Explain. (Why some may be the THPE and why some may not.)