OCR Further Discrete AS Specimen — Question 3

Exam BoardOCR
ModuleFurther Discrete AS (Further Discrete AS)
SessionSpecimen
TopicGroups
3 A zero-sum game is being played between two players, \(X\) and \(Y\). The pay-off matrix for \(X\) is given below. \section*{Player X}
Player \(\boldsymbol { Y }\)
Strategy \(\boldsymbol { R }\)Strategy \(\boldsymbol { S }\)
Strategy \(\boldsymbol { P }\)4- 2
Strategy \(\boldsymbol { Q }\)- 31
  1. Find an optimal mixed strategy for player \(X\).
  2. Give one assumption that must be made about the behaviour of \(Y\) in order to make the mixed strategy of Player \(X\) valid.
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