Equilibrium points - Open Access .click

Journal of the Society for Industrial and Applied Mathematics, 1964
The purpose of this note is to describe a method for computing the extreme equilibrium points of a bimatrix game which are finite in number. This in essence determines all equilibrium points of the game, The present method seems to be simpler than that of Vorob’ev’s method [7] and Kuhn’s simplification thereof [3].
Lemke, C. E., Howson, J. T. jun.
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On the existence of Nash equilibrium points

Journal of the Australian Mathematical Society, 1979
AbstractThe 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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Continuity Properties of Walras Equilibrium Points

Annals of Operations Research, 2002
Convergence notions for bivariate functions are explored that yield convergence and stability results for their max/inf points. The results are then applied to obtain continuity results for Walras equilibrium points under perturbations of the utility functions of the agents.
Alejandro Jofré, Roger J.-B. Wets
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Simultaneous stabilization of multiple equilibrium points

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
With reference to a class of nonlinear systems exhibiting more unstable equilibrium points, possibly in conjunction with stable ones, the paper presents a state-feedback control strategy capable of simultaneously stabilizing them all. The proposed control law, which does not require explicit knowledge of the equilibria, entails evaluating the Jacobian ...
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