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    Payoff Matrix and Prisoners Dilemma

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    Firm B
    (Problem 1) ___________
    Low Price High Price
    __________________________________________________________________
    Low Price (1,1) (3, -1)
    Firm A
    High Price (-1,3) (2,2)
    ___________________________________________________________________

    (a) From above (Problem 1), explain why the payoff matrix indicates that firms A and B face the prisoners' dilemma?
    Firm B
    (Problem 2) ___________
    Low Price High Price
    __________________________________________________________________
    Low Price (1,1) (3, -1)
    Firm A
    High Price (-1,3) (4,2)
    ___________________________________________________________________

    (b)Do firms (in Problem 2) A and B face the prisoners' dilemma? Why?

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    https://brainmass.com/business/business-management/help-please-show-all-work-242157

    Solution Preview

    (a)
    To figure out the prisoners' dilemma, we need to find out the dominant strategy for each firm,
    For Firm A, if Firm B uses Low Price, Firm A will look at two outcomes: (1, 1) or (-1, 3). Since 1 > -1, Firm A will select Low Price to obtain the (1, 1) state. Similarly, if Firm B uses High Price, Firm A will decide between two states: (3, -1) and (2, 2). Since 3 > 2, Firm A will again take Low Price as its strategy. As a result, the dominant strategy for Firm A is Low Price.

    Now let's consider Firm B, if Firm A takes Low Price, Firm B will ...

    Solution Summary

    The solution determines the payoff matrix and the prisoners dilemma.

    $2.19

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