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Respond to the question: polytope game?

02/23/2003 04:46 PM by rugrat; polytope game

Does any one know some literature about 2-Person nonzero-sum game in which
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.

I would be very grateful for a response. [Manage messages]