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Odds And Even, Example 14.1-1, Hillier and Lieberman

 

 

   {  Exmpl14.1-1_OddsAndEven.mpl  }

   {  Hillier and Lieberman, Introduction to Operations Research, 7th ed.  }

   {  Chapter 14.1,  Example 1, Game Theory,  Size: 3x3,  Page 726  }


TITLE
    OddsAndEven;

INDEX
    strategy1 := 1..2;
    strategy2 := strategy1;

DATA
    Payoff[strategy1, strategy2] := ( 1, -1, 
                                     -1,  1);

VARIABLES
    Probabilities[strategy1] -> x;
    ValueOfGame;

MODEL

    MAX GameValue = ValueOfGame;

SUBJECT TO

    TotalProbabilities:

       SUM(strategy1: Probabilities)  =  1;


    ExpectedPayoff[strategy2]:

       SUM(strategy1: Payoff * Probabilities)  >=  ValueOfGame;

END

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