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Questions › IIT JAM › IIT JAM 2026 › Q44
1 markGame Theory › Game theory and strategic behaviour › Mixed-strategy Nash equilibriumHardabout 3 min

IIT JAM 2026 Question 44: Game theory and strategic behaviour

Consider a game of coexistence where everyone exhibits two kinds of behaviour: 'Hawk' and 'Dove'. Payoffs: Hawk-Hawk (−2,−2)(-2,-2)(−2,−2), Hawk-Dove (4,0)(4,0)(4,0), Dove-Hawk (0,4)(0,4)(0,4), Dove-Dove (2,2)(2,2)(2,2). Suppose the population fraction exhibiting 'Hawkish' behaviour is ppp, then the value of ppp at the Nash equilibrium is ________ (rounded off to one decimal place).

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Plain-text version

Consider a game of coexistence where everyone exhibits two kinds of behaviour: 'Hawk' and 'Dove'. Payoffs: Hawk-Hawk (-2,-2), Hawk-Dove (4,0), Dove-Hawk (0,4), Dove-Dove (2,2). Suppose the population fraction exhibiting 'Hawkish' behaviour is p, then the value of p at the Nash equilibrium is (*rounded off to one decimal place*).

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.

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