Mathematical Modeling with LPL : Explain and run a Model
Problem Statement
Modeling Description
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model gameht "A Two Persons Game"; set i,j :=[1..7]; 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); if GetSolverStatus<>7 then return 0; end x{i|i>1}:=x[i-1]+x[i]; set k,r:=[1..34]; parameter q{k,r}; n; integer parameter T{k,r}:= q[k,r]:=Rnd(0,1), n:=1, while(q>x[n], n:=n+1), n; Write{k}('%2d\n' , {r} T); end
Problem Statement
Modeling Description
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The solution is as follows:
The LOG-File output of LPL is as follows: