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Equilibrium Points of Bimatrix Games
Journal of the Society for Industrial and Applied Mathematics, 1964An algebraic proof is given of the existence of equilibrium points for bimatrix (or two-person, non-zero-sum) games. The proof is constructive, leading to an efficient scheme for computing an equilibrium point. In a nondegenerate case, the number of equilibrium points is finite and odd. The proof is valid for any ordered field.
Lemke, C. E., Howson, J. T. jun.
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On the existence of Nash equilibrium points
Journal of the Australian Mathematical Society, 1979AbstractThe existence of Nash equilibrium points of game between n players has been established under the conditions dual to known ones.
Tarafdar, E., Husain, T.
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