Further Mathematics 7367: Game Theory for Zero-Sum Games Topical Past Paper Questions

Daniel and Jackson play a zero-sum game. The game is represented by the following pay-off matrix for Daniel. Jackson Daniel Neither player has any strategies which can be ignored due to dominance. Prove that the game does not have a stable solution. (b) Fully justify your answer.…

Jonathan and Hoshi play a zero-sum game. The game is represented by the following pay-off matrix for Jonathan. Jonathan The game does not have a stable solution. Which strategy should Jonathan never play? Circle your answer. [1 mark] $$ \mathbf{J}_{11} $$ $$ \mathbb{J}_{22} $$ $$…

Ben and Jadzia play a zero-sum game. The game is represented by the following pay-off matrix for Ben. State, with a reason, which strategy Ben should never play. [1 mark] (b) Determine whether or not the game has a stable solution. Fully justify your answer. [3 marks] Ben knows t…