Edexcel D2 — Question 6

Exam BoardEdexcel
ModuleD2 (Decision Mathematics 2)
TopicDynamic Programming
6. The payoff matrix for player \(X\) in a two-person zero-sum game is shown below.
\cline { 3 - 4 } \multicolumn{2}{c|}{}\(Y\)
\cline { 3 - 4 } \multicolumn{2}{c|}{}\(Y _ { 1 }\)\(Y _ { 2 }\)
\multirow{2}{*}{\(X\)}\(X _ { 1 }\)\({ } ^ { - } 2\)4
\cline { 2 - 4 }\(X _ { 2 }\)6\({ } ^ { - } 1\)
  1. Explain why the game does not have a saddle point.
  2. Find the optimal strategy for
    1. player \(X\),
    2. player \(Y\).
  3. Find the value of the game.
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