Equilibrium Points of Bimatrix Games

C. E. Lemke, J. T. Howson, Jr.

1964Published

785Citations

0References

journal articleType

Abstract

An 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.

Journal: Journal of the Society for Industrial and Applied Mathematics

Publisher: Society for Industrial & Applied Mathematics (SIAM)

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