Another Two Persons Game

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Problem

This model is related to the model gameh.


Listing 1: The Complete Model implemented in LPL [2]
model gameh2 "Another Two Persons Game"; 
  set   i,j :=[forhand backhand]; 
  parameter  p{i,j} := [0.9 , 0.3 , 0.2 , 0.6]; 
  variable   x{i}; 
  constraint  R: sum{i} x = 1; 
  maximize gain: min{j} (sum{i} p*x); 
  Write{i|x}('Choose %s with probability %4.2f\n', i,x); 
  Write('The game value is %4.2f\n', gain); 
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.