Economic and Game Theory
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the players play their game over a polytope. Some call the question as 'polytope game' or 'restricted game'.
This game is like a pair of Linear Programmings with the same constrains,
but each one has his own objective function. So the 2 players make their decision over a polytope (not a mixed strategy simplex) simultaneously.
Not like the Lemke-Howson theorem, they transform a nonzero-sum 'bimatrix' game into a 'bilinear' programming and find out a mixed strategy.
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