Using computer algebra to find nash equilibria
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
Computing good nash equilibria in graphical games
Proceedings of the 8th ACM conference on Electronic commerce
On the Complexity of Nash Equilibria and Other Fixed Points
SIAM Journal on Computing
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Every real algebraic variety is isomorphic to the set of totally mixed Nash equilibria of some three-person game, and also to the set of totally mixed Nash equilibria of anN-person game in which each player has two pure strategies. From the Nash-Tognoli Theorem it follows that every compact differentiable manifold can be encoded as the set of totally mixed Nash equilibria of some game. Moreover, there exist isolated Nash equilibria of arbitrary topological degree.