In mathematics, specifically in differential equations, an equilibrium point is a constant solution to a differential equation. The point x ~ ∈ R n {\displaystyle...

mechanical equilibrium in terms of force, there are many alternative definitions for mechanical equilibrium which are all mathematically equivalent....

In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation...

Stability theory, a theory in mathematics Mertens-stable equilibrium in game theory Stochastically stable equilibrium in the game theory This disambiguation...

In game theory, the Nash equilibrium is the most commonly used solution concept for non-cooperative games. A Nash equilibrium is a situation where no player...

In mathematical economics, applied general equilibrium (AGE) models were pioneered by Herbert Scarf at Yale University in 1967, in two papers, and a follow-up...

more general than Nash equilibrium Equilibrium point, in mathematics, a constant solution to a differential equation Nash equilibrium, the basic solution...

will result in an overall general equilibrium. General equilibrium theory contrasts with the theory of partial equilibrium, which analyzes a specific part...

behaviour of dynamical systems in the neighbourhood of a hyperbolic equilibrium point. It asserts that linearisation—a natural simplification of the system—is...

In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions...

One striking characterization of the equilibrium measure is that it describes the asymptotics of almost every point in C P n {\displaystyle \mathbf {CP}...

Coordination game Simultaneous game Surprisingly popular Equilibrium selection Rendezvous problem, the mathematical problem of maximising the probability of two people...

In mathematics, linearization (British English: linearisation) is finding the linear approximation to a function at a given point. The linear approximation...

equilibrium. In practice, very few markets operate in this manner. Edgeworth introduced mathematical elements to Economics explicitly in Mathematical...

mono-monostatic, meaning that they have just one stable and one unstable point of equilibrium when resting on a flat surface. The existence of this class was conjectured...

consumers; therefore a point at which indifference curves cross cannot be an equilibrium, and an equilibrium must be a point of tangency. Secondly, the...

Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can be described...

Thermodynamic equilibrium is a notion of thermodynamics with axiomatic status referring to an internal state of a single thermodynamic system, or a relation...

exist at equilibrium, the rates of the forward and backward (reverse) reactions must be equal. In the following chemical equation, arrows point both ways...

behaviors of solutions in dynamic equilibrium. Specifically, it implies that for a chemical reaction mixture that is in equilibrium, the ratio between the concentration...

In the mathematical theory of dynamical systems, an exponential dichotomy is a property of an equilibrium point that extends the idea of hyperbolicity...

In thermodynamics and chemical engineering, the vapor–liquid equilibrium (VLE) describes the distribution of a chemical species between the vapor phase...

generations, so equilibrium is reached. The principle is named after G. H. Hardy and Wilhelm Weinberg, who first demonstrated it mathematically. Hardy's paper...

principle governing multi-component, multi-phase systems in thermodynamic equilibrium. For a system without chemical reactions, it relates the number of freely...

Equilibrium selection is a concept from game theory which seeks to address reasons for players of a game to select a certain equilibrium over another....

The equilibrium constant of a chemical reaction is the value of its reaction quotient at chemical equilibrium, a state approached by a dynamic chemical...

ensemble has settled back down to equilibrium.) In principle, non-equilibrium statistical mechanics could be mathematically exact: ensembles for an isolated...

{R} ^{n}\to \mathbb {R} ^{n}&\\{\dot {y}}=g(y)\end{cases}}} with an equilibrium point at y = 0 {\displaystyle y=0} is a scalar function V : R n → R {\displaystyle...

critical point (or critical state) is the end point of a phase equilibrium curve. One example is the liquid–vapor critical point, the end point of the...

thermodynamics of equilibrium, a state function, function of state, or point function for a thermodynamic system is a mathematical function relating several...