Political Variaton 3

   {  Exmpl14.2-3_PoliticalVariaton.mpl  }

   {  Hillier and Lieberman, Introduction to Operations Research, 9th ed.  }

   {  Chapter 14.2,  Example 3, Game Theory - Unstable,  Size: 4x4,  Page 657  }


TITLE
    OddsAndEven;

INDEX
    strategy1 := 1..3;
    strategy2 := strategy1;

DATA
    Payoff[strategy1, strategy2] := ( 0, -2,  2,
                                      5,  4, -3,
                                      2,  3, -4 );

VARIABLES
    Probabilities[strategy1] -> x;
    ValueOfGame;

MODEL

    MAX GameValue = ValueOfGame;

SUBJECT TO

    TotalProbabilities:

       SUM(strategy1: Probabilities)  =  1;


    ExpectedPayoff[strategy2]:

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

END