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Questions › IIT JAM › IIT JAM 2026 › Q26
2 marks, −0.667Game Theory › Game theory and strategic behaviour › Mixed-strategy Nash equilibriumHardabout 3 min

IIT JAM 2026 Question 26: Game theory and strategic behaviour

Consider a simultaneous game with players XXX (strategies Top, Bottom) and YYY (strategies Left, Right). Payoffs (i,j)(i,j)(i,j) give XXX's and YYY's payoffs: Top-Left (1,2)(1,2)(1,2), Top-Right (4,1)(4,1)(4,1), Bottom-Left (2,3)(2,3)(2,3), Bottom-Right (3,4)(3,4)(3,4). Then, which one of the following statements is CORRECT?

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Consider a simultaneous game with players X (strategies Top, Bottom) and Y (strategies Left, Right). Payoffs (i,j) give X 's and Y 's payoffs: Top-Left (1,2), Top-Right (4,1), Bottom-Left (2,3), Bottom-Right (3,4). Then, which one of the following statements is CORRECT? (A) Pure strategy Nash equilibria are hidden here. (B) Nash equilibrium is reached when each of them purely randomises their behavior. (C) The game is similar to a Matching Pennies game. (D) The game is similar to a Battle of Sexes game.

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

What this question tests

This question is on Mixed-strategy Nash equilibrium, part of Game theory and strategic behaviour in Game Theory.

Equilibria where players randomise, found by making the opponent indifferent.

TestStop has 5 past-paper questions on this subtopic.

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