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Questions › IIT JAM › IIT JAM 2024 › Q16
2 marks, −0.667Game Theory › Game theory and strategic behaviour › Normal-form games and dominanceModerateabout 2 min

IIT JAM 2024 Question 16: Game theory and strategic behaviour

In a two-player game, player 1 can choose either M or N as strategies. Player 2 can choose either X, Y, or Z as strategies. The payoff matrix is: MMM: (3,1),(0,0),(−1,2)(3,1),(0,0),(-1,2)(3,1),(0,0),(−1,2) and NNN: (0,0),(1,3),(0.5,1)(0,0),(1,3),(0.5,1)(0,0),(1,3),(0.5,1) across columns X,Y,ZX, Y, ZX,Y,Z. Which set of strategy profiles survives iterated elimination of strictly dominated strategies?

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In a two-player game, player 1 can choose either M or N as strategies. Player 2 can choose either X, Y, or Z as strategies. The payoff matrix is: M: (3,1),(0,0),(-1,2) and N: (0,0),(1,3),(0.5,1) across columns X, Y, Z. Which set of strategy profiles survives iterated elimination of strictly dominated strategies? (A) (N, Y) (B) (M, X) (C) (N, Z) (D) (M, Z)

Game theory and strategic behaviour has come up 61 times in 6 exams since 2008.

What this question tests

This question is on Normal-form games and dominance, part of Game theory and strategic behaviour in Game Theory.

Games in matrix form, and solving them by removing strategies that are never best.

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