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Questions › DSE › DSE 2017 › Q12
2 marks, −0.666666666666667Game Theory › Game theory and strategic behaviour › Pure-strategy Nash equilibriumModerateabout 3 min

DSE 2017 Question 12: Game theory and strategic behaviour

Consider the game (firm/player 111 chooses the row TTT or BBB, player 222 chooses the column LLL or RRR) with payoffs (a,b)(a,b)(a,b) = (row player, column player): (T,L)=(x,x)(T,L)=(x,x)(T,L)=(x,x), (T,R)=(b,y)(T,R)=(b,y)(T,R)=(b,y), (B,L)=(y,b)(B,L)=(y,b)(B,L)=(y,b), (B,R)=(a,a)(B,R)=(a,a)(B,R)=(a,a). Which statement is true when y>x>a>by>x>a>by>x>a>b?

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Consider the game (firm/player 1 chooses the row T or B, player 2 chooses the column L or R) with payoffs (a,b) = (row player, column player): (T,L)=(x,x), (T,R)=(b,y), (B,L)=(y,b), (B,R)=(a,a). Which statement is true when y>x>a>b? (A) The strategy profile (B,R) is the unique Nash equilibrium (B) (B,R) is one of many Nash equilibria (C) Both (B,R) and (T,L) are Nash equilibria (D) None of the above

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 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.