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Someone with a math computer program

  1. Feb 21, 2005 #1
    so, this is probably not exactly posted in the right place, but I was wondering if someone could enter a couple of things into a math program for me. I have two simple systems of equations and need the values for them, and unfortunately, don't have mathematica on this computer, and I reallly don't want to try these out with pencil and paper... so without further adiou...

    [tex]
    (1-a-b)(1+4x+3y)=a(4-4x-y)=b(2+y)
    [/tex]
    [tex]
    (1-x-y)(1+6a-b)=x(4-2a+8b)=y(6-5a-6b)
    [/tex]

    and...

    [tex]
    a(1+4x+3y)=b(4-4x-y)
    [/tex]
    [tex]
    x(4a+2b)=y(6a+b)=(1-x-y)(a+7b)
    [/tex]

    i need to find the values of a,b,x,y for each set of equations.

    (in case you were wondering where these came from, they are the equilibrium probabilites that player A chooses 1,2,3 and player B chooses a,b,c)

    thanks a bunch

    ~tired of number crunching
     
  2. jcsd
  3. Feb 22, 2005 #2
    It appears that your equations are overdetermined. You only have 4 unknowns, but you have 7 equations, which either means that 3 of them are redundant, or there is no solution. I don't have a math program either, so I can't verify that statement.

    BTW, this really belongs more in the Linear Algebra forum.
     
  4. Feb 22, 2005 #3
    I checked with Mathematica and the solution set is empty.
     
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