OCR D2 — Question 5

Exam BoardOCR
ModuleD2 (Decision Mathematics 2)
TopicDynamic Programming
5. The payoff matrix for player \(X\) in a two-person zero-sum game is shown below.
\cline { 3 - 5 } \multicolumn{2}{c|}{}\(Y\)
\cline { 2 - 5 } \multicolumn{2}{c|}{}\(Y _ { 1 }\)\(Y _ { 2 }\)\(Y _ { 3 }\)
\multirow{2}{*}{\(X\)}\(X _ { 1 }\)1043
\cline { 2 - 5 }\(X _ { 2 }\)\({ } ^ { - } 4\)\({ } ^ { - } 1\)9
  1. Using a graphical method, find the optimal strategy for player \(X\).
  2. Find the optimal strategy for player \(Y\).
  3. Find the value of the game.
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