decision theory April 2017 Q1(ii) CT6

Discussion in 'CT6' started by dan r, Mar 18, 2018.

  1. dan r

    dan r Member

    Hi all

    hope you are well


    John enjoys playing two player zero-sum games.

    The matrix below shows the losses to John in a particular two player zero-sum game. His strategies are denoted by I, II and III, whereas the strategies for his opponent are denoted by a, b and c.

    I II III
    a -3 2 4
    b 0 1 -1
    c 1 3 0

    (i) Explain which of John’s strategies is dominated. [2]

    The opponent now has the option of a fourth strategy, d, which results in none of John’s strategies being dominated.

    (ii) Suggest possible values for the strategy

    I am struggling to understand part 2 of question 1...

    A further quick question would be around negative numbers. If he is trying to minimise his loss, would a value of -3 = gain of 3 in this example?


    thank you
     
    Last edited by a moderator: Mar 18, 2018
  2. John Lee

    John Lee ActEd Tutor Staff Member

    So in part (i) we can see that I dominates II as every loss is lower.

    For part (ii) all you need to do is ensure the value for I d is a bigger loss than II d. Then I will no longer dominate II.
     

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