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Questions › DSE › DSE 2018 › Q31
4 marks, −1Game Theory › Game theory and strategic behaviour › Pure-strategy Nash equilibriumHardabout 3 min

DSE 2018 Question 31: Game theory and strategic behaviour

Consider the game with row payoff first, column second: for rows U,DU, DU,D and columns L,RL, RL,R, the payoffs are UUU: (x,x),(z,y)(x,x),(z,y)(x,x),(z,y) and DDD: (y,z),(y,y)(y,z),(y,y)(y,z),(y,y). This game has only one Nash equilibrium when

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Consider the game with row payoff first, column second: for rows U, D and columns L, R, the payoffs are U: (x,x),(z,y) and D: (y,z),(y,y). This game has only one Nash equilibrium when (A) x > y > z (B) x < y < z (C) y = z = x (D) y > z > x

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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Question from the DSE 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.