OCR FD1 AS 2018 March — Question 3

Exam BoardOCR
ModuleFD1 AS (Further Decision 1 AS)
Year2018
SessionMarch
TopicDynamic Programming

3 Lee and Maria are playing a strategy game. The tables below show the points scored by Lee and the points scored by Maria for each combination of strategies. Points scored by Lee Lee's choice \begin{table}[h]
\captionsetup{labelformat=empty} \caption{Maria's choice}
WXYZ
P5834
Q4275
R2153
\end{table} Points scored by Maria Lee's choice
\includegraphics[max width=\textwidth, alt={}, center]{a51b112d-1f3f-4214-94c1-8b9cd7eb831c-3_335_481_392_1139}
  1. Show how this game can be reformulated as a zero-sum game.
  2. By first using dominance to eliminate one of Lee's choices, use a graphical method to find the optimal mixed strategy for Lee.