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Questions › DSE › DSE 2021 › Q30
4 marks, −1Game Theory › Game theory and strategic behaviour › Applied games: public goods, voting and locationHardabout 3 min

DSE 2021 Question 30: Game theory and strategic behaviour

Consider the same donation game (each budget Rs 200; each gets an extra Rs 60 if aggregate donation ≥100\geq 100≥100; player 1's payoff is [(200−x)+60][(200 - x) + 60][(200−x)+60] if x+y≥100x + y \geq 100x+y≥100 and (200−x)(200 - x)(200−x) otherwise). Which of the following is NOT true?

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Consider the same donation game (each budget Rs 200; each gets an extra Rs 60 if aggregate donation ≥ 100; player 1's payoff is [(200 - x) + 60] if x + y ≥ 100 and (200 - x) otherwise). Which of the following is NOT true? (A) Each player has at least one weakly dominated strategy (B) Each player has at least one strictly dominated strategy (C) Each player has a strategy which weakly dominates all other strategies (D) Maximin payoff of each player is 200

Also written as: Consider the same donation game (each budget Rs 200; each gets an extra Rs 60 if aggregate donation >= 100; player 1's payoff is [(200 - x) + 60] if x + y >= 100 and (200 - x) otherwise). Which of the following is NOT true?

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

What this question tests

This question is on Applied games: public goods, voting and location, part of Game theory and strategic behaviour in Game Theory.

Strategic models of provision, voting, bargaining and where to locate.

TestStop has 7 past-paper questions on this subtopic.

Practise Game theory and strategic behaviourMore on Applied games: public goods, voting and location

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Question from the DSE 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.