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 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 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 game theory This disambiguation...

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

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...

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...

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

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...

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

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...

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

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

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

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'...

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...

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

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...

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...

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

the Nash equilibrium of the game in his Recherches sur les principes mathématiques de la théorie des richesses (Researches into the Mathematical Principles...

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

game. The most commonly used solution concepts are equilibrium concepts, most famously Nash equilibrium. Many solution concepts, for many games, will result...

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

is a saddle point. The simplest kind of an orbit is a fixed point, or an equilibrium. If a mechanical system is in a stable equilibrium state then a...

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