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Questions › DSE › DSE 2020 › Q21
4 marks, −1Game Theory › Game theory and strategic behaviour › Extensive-form games and backward inductionHardabout 4 min

DSE 2020 Question 21: Game theory and strategic behaviour

Player 111 moves first and chooses LLL or RRR. LLL ends the game with payoffs (1,0)(1,0)(1,0) (payoffs are (player 111, player 222)). If RRR, player 222 chooses UUU or DDD: UUU ends it with (0,2)(0,2)(0,2); DDD lets player 111 choose LLL or RRR, giving (4,0)(4,0)(4,0) or (3,3)(3,3)(3,3) respectively. This game has

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Player 1 moves first and chooses L or R. L ends the game with payoffs (1,0) (payoffs are (player 1, player 2)). If R, player 2 chooses U or D: U ends it with (0,2); D lets player 1 choose L or R, giving (4,0) or (3,3) respectively. This game has (A) one Nash equilibrium in pure strategies (B) two Nash equilibria in pure strategies (C) three Nash equilibria in pure strategies (D) no Nash equilibria in pure strategies

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

What this question tests

This question is on Extensive-form games and backward induction, part of Game theory and strategic behaviour in Game Theory.

Games played in sequence, solved from the end back to the start.

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Question from the DSE 2020 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.