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Questions › DSE › DSE 2015 › Q29
2 marks, −0.666666666666667Game Theory › Game theory and strategic behaviour › Extensive-form games and backward inductionModerateabout 3 min

DSE 2015 Question 29: Game theory and strategic behaviour

Consider two games (player 111 chooses a row, player 222 a column). Game A: player 222 has only Hawk, with payoffs Enter (−1,1)(-1,1)(−1,1), Not enter (0,6)(0,6)(0,6). Game B adds a Dove column for player 222: Enter (−1,1),(3,3)(-1,1),(3,3)(−1,1),(3,3); Not enter (0,6),(0,7)(0,6),(0,7)(0,6),(0,7). Analysis shows

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Consider two games (player 1 chooses a row, player 2 a column). Game A: player 2 has only Hawk, with payoffs Enter (-1,1), Not enter (0,6). Game B adds a Dove column for player 2: Enter (-1,1),(3,3); Not enter (0,6),(0,7). Analysis shows (A) having an extra option cannot hurt (B) having an extra option cannot hurt as long as it dominates other options (C) having an extra option can hurt if the other player is irrational (D) having an extra option can hurt if the other player is rational

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.

TestStop has 16 past-paper questions on this subtopic.

Practise Game theory and strategic behaviourMore on Extensive-form games and backward induction

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Question from the DSE 2015 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.