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Goofy answer when trying to solve the prisoner's dilemma (probability stuff)

  1. Jul 21, 2012 #1
    1. The problem statement, all variables and given/known data
    Trying to find optimal solution for row player. Deny=D Tattle=T. I am trying to do this without knocking out dominated alternatives.

    D T
    D -1,1 -10,0

    T 0,-10 -6,-6

    2. Relevant equations


    3. The attempt at a solution
    DD=p(-1)+(1-p)(-10) =-1p-10+10p =9p-10
    DT=p(0)+(1-p)(-6) =-6+6p

    9p-10=-6+6p
    3p=4
    p=4/3 (Huh?)

    I do not know if my arithmetic is off, or I cannot solve the game by setting both equations equal because of the (0,-10) and (-10,0) scenarios.

    Thanks for the help.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited: Jul 21, 2012
  2. jcsd
  3. Jul 22, 2012 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    It's not clear to me why you are doing that. There clearly is a dominant solution- both prisoners "tattle".
     
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