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...

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...

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

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...

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

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

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

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

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

In game theory, a correlated equilibrium is a solution concept that is more general than the well known Nash equilibrium. It was first discussed by mathematician...

includes a quasi-perfect equilibrium, and is immune to embedding in a larger game. A stable set is defined mathematically by essentiality of the projection...

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

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...

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

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

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

In game-theoretical terms, an ESS is an equilibrium refinement of the Nash equilibrium, being a Nash equilibrium that is also "evolutionarily stable." Thus...

Society for Economic Measurement (SEM). In mathematical economics, Balasko has worked on general equilibrium theory, the overlapping generations model...

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

if it represents a Nash equilibrium in every possible subgame of the original game. Informally, this means that at any point in the game, the players'...

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

In fluid mechanics, hydrostatic equilibrium, also called hydrostatic balance and hydrostasy, is the condition of a fluid or plastic solid at rest, which...

state from solid to liquid. At the melting point the solid and liquid phase exist in equilibrium. The melting point of a substance depends on pressure and...

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

from the consumer's point of view from those entailed by monopoly. Cournot presents a mathematically correct analysis of the equilibrium condition corresponding...

In mathematical economics, the Arrow–Debreu model is a theoretical general equilibrium model. It posits that under certain economic assumptions (convex...

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

{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...