AQA D2 2015 June — Question 2

Exam BoardAQA
ModuleD2 (Decision Mathematics 2)
Year2015
SessionJune
TopicDynamic Programming

2 Stan and Christine play a zero-sum game. The game is represented by the following pay-off matrix for Stan. \begin{table}[h]
\captionsetup{labelformat=empty} \caption{Christine}
\multirow{5}{*}{Stan}StrategyDEF
A3- 3- 1
B- 1- 42
C10- 3
\cline { 2 - 5 }- 2
\end{table}
  1. Find the play-safe strategy for each player.
  2. Show that there is no stable solution.
  3. Explain why a suitable pay-off matrix for Christine is given by