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Equilibrium Points of Bimatrix Games
Journal of the Society for Industrial and Applied Mathematics, 1964The 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, 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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Continuity Properties of Walras Equilibrium Points
Annals of Operations Research, 2002Convergence 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), 2004With 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 ...
Ferrante A +4 more
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Rejecting the Equilibrium-Point Hypothesis
Motor Control, 1998The lambda version of the equilibrium-point (EP) hypothesis as developed by Feldman and colleagues has been widely used and cited with insufficient critical understanding. This article offers a small antidote to that lack. First, the hypothesis implicitly, unrealistically assumes identical transformations of lambda into muscle tension for antagonist ...
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The Radioactive Equilibrium Point
I present a proposed experiment with expected results that could support the existence of a Radioactive Equilibrium Point, a condition in which the interaction of gamma radiation and radio waves, when applied in precise frequency symmetry, induces partial stabilization ofradioactive decay rates.Fuertes Oliva, Martín +8 more
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Equilibrium Points in Bimatrix Games
Theory of Probability & Its Applications, 1958An algorithm for computing all equilibrium points (situations) for the case of bimatrix (i.e., finite two-person, non-cooperative, non-zero-sum) games is given.
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Stability and equilibrium points in neurocontrol
Proceedings of ICNN'95 - International Conference on Neural Networks, 2002Neurocontrollers are investigated for existence of equilibrium points of closed loop. Equilibrium points are a prerequisite for controller stability. Theorems concerning neurocontroller structure are formulated for both stabilization and tracking control tasks. The results are illustrated on a real-world example from industrial automation.
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On the robustness of the competitive equilibrium: Utility-improvements and equilibrium points
Journal of Mathematical Economics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability of an Equilibrium Point
2013Stabilizing a system in a neighborhood of a steady state is one of the first goals of Control Theory. For this purpose, we cast a glow in § 4.2 on the notions of stability and of asymptotic stability of an equilibrium point for general dynamical systems as discussed in § 2.4. The case of linear dynamical systems is treated in § 4.3.
Brigitte d’Andréa-Novel +1 more
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