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Questions › IIT JAM › IIT JAM 2023 › Q14
2 marks, −0.667Game Theory › Game theory and strategic behaviour › Pure-strategy Nash equilibriumHardabout 3 min

IIT JAM 2023 Question 14: Game theory and strategic behaviour

Two people i∈{1,2}i\in\{1,2\}i∈{1,2} choose effort xi∈[0,1]x_i\in[0,1]xi​∈[0,1] at cost Ci(xi)=xiC_i(x_i)=x_iCi​(xi​)=xi​. The project's monetary outcome 4x1x24x_1x_24x1​x2​ is split equally. As a strategic game, the set of all pure-strategy Nash Equilibria is

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Two people i∈{1,2} choose effort xᵢ∈[0,1] at cost Cᵢ(xᵢ)=xᵢ. The project's monetary outcome 4x₁x₂ is split equally. As a strategic game, the set of all pure-strategy Nash Equilibria is (A) {(0,0),(1,1)} (B) {(0,0),(1/4,1/4),(1/2,1/2),(3/4,3/4),(1,1)} (C) {(0,0),(1/2,1/2),(1,1)} (D) a null set

Also written as: Two people i in {1,2} choose effort x_i in [0,1] at cost C_i(x_i)=x_i. The project's monetary outcome 4x_1x_2 is split equally. As a strategic game, the set of all pure-strategy Nash Equilibria is

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

What this question tests

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

Outcomes from which no player wants to deviate, and classic games that illustrate them.

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