Pay-off matrices and play-safe strategies

Pay-off matrices and play-safe strategies Quiz

Spec DF1–DF3 · AQA A-Level Further Maths: Quiz

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  1. 1. Rowan's pay-off matrix has row minima −2-2, 11 and 00. What is Rowan's play-safe strategy?

    • A. Row 1
    • B. Row 3
    • C. Row 2
    • D. Cannot be found

  2. 2. Column maxima of a pay-off matrix are 55, 33 and 44. What is the minimax and which column is Colin's play-safe choice?

    • A. 33, column 2
    • B. 55, column 1
    • C. 33, column 3
    • D. 44, column 3

  3. 3. A game has maximin =1=1 and minimax =3=3. Which statement is true?

    • A. The value of the game is 2
    • B. The game has no stable solution
    • C. The game is stable with value 1
    • D. The game is stable with value 3

  4. 4. In a stable game with maximin == minimax =4=4, what is the value of the game?

    • A. Less than 4
    • B. The mean of the row minima
    • C. 4
    • D. Between 0 and 4

  5. 5. The matrix gives pay-offs to Rowan. What is Colin's pay-off when Rowan's entry is −3-3?

    • A. −3-3
    • B. 33
    • C. 00
    • D. It depends on the column

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