AQA Further Paper 3 Discrete 2024 June — Question 4

Exam BoardAQA
ModuleFurther Paper 3 Discrete (Further Paper 3 Discrete)
Year2024
SessionJune
TopicDynamic Programming

4 Daniel and Jackson play a zero-sum game. The game is represented by the following pay-off matrix for Daniel.
\multirow{6}{*}{Daniel}Jackson
StrategyWXYZ
A3-214
B51-41
C2-112
D-302-1
Neither player has any strategies which can be ignored due to dominance. 4
  1. Prove that the game does not have a stable solution.
    Fully justify your answer.
    4
  2. Determine the play-safe strategy for each player. Play-safe strategy for Daniel \(\_\_\_\_\) Play-safe strategy for Jackson \(\_\_\_\_\)