A Number Game

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Problem

This model is related to the model gameh.


Listing 1: The Complete Model implemented in LPL [2]
model gameh0 "A Number 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   y{j}  "Strategy"; 
  constraint  R: sum{i} y = 1; 
  minimize loss: max{i} (sum{j} p*y); 
  Write{j|y}('Choose number %1d with probability %7.5f\n',j,y); 
end

References

[1]   MatMod. Homepage for Learning Mathematical Modeling :  https://matmod.ch.

[2]   Hürlimann T. Reference Manual for the LPL Modeling Language, most recent version. https://matmod.ch/lpl/doc/manual.pdf.