Bimatrix Game Solution

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A Bimatrix Game Solution Strategic form: 2 x 2 Payoff player 1 c d a 4 -1 b -1 2 2 x 2 Payoff player 2 c d a 2 -1 b -1 4 EE = Extreme Equilibrium, EP = Expected Payoffs Rational: EE 1 P1: (1) 5/8 3/8 EP= 7/8 P2: (1) 3/8 5/8 EP= 7/8 EE 2 P1: (2) 0 1 EP= 2 P2: (2) 0 1 EP= 4 EE 3 P1: (3) 1 0 EP= 4 P2: (3) 1 0 EP= 2

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Transcript of Bimatrix Game Solution

  • A Bimatrix Game Solution

    Strategic form:

    2 x 2 Payoff player 1

    c d

    a 4 -1

    b -1 2

    2 x 2 Payoff player 2

    c d

    a 2 -1

    b -1 4

    EE = Extreme Equilibrium, EP = Expected Payoffs

    Rational:

    EE 1 P1: (1) 5/8 3/8 EP= 7/8 P2: (1) 3/8 5/8 EP= 7/8

    EE 2 P1: (2) 0 1 EP= 2 P2: (2) 0 1 EP= 4

    EE 3 P1: (3) 1 0 EP= 4 P2: (3) 1 0 EP= 2