Mathematical Modeling with LPL : Explain and run a Model
Problem Statement
Modeling Description
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model gameh "A Two Persons Game"; set i,j :=[1..50]; parameter p{i,j} := if(i>j+1,-j , i=j+1,i+j , i=j-1,-i-j, i<j-1,i); variable x{i} "Strategy of player 1"; constraint R: sum{i} x = 1; maximize gain: min{j} (sum{i} p*x); Write{i|x}('Choose number %1d with probability %7.5f\n', i,x); Write('The value of the game is %4.2f\n', gain); end
Problem Statement
Modeling Description
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The solution is as follows:
The LOG-File output of LPL is as follows: