In mathematics, specifically in differential equations, an equilibrium point is a constant solution to a differential equation. The point x ~ ∈ R n {\displaystyle...
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mechanical equilibrium in terms of force, there are many alternative definitions for mechanical equilibrium which are all mathematically equivalent....
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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...
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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...
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Stability theory, a theory in mathematics Mertens-stable equilibrium in game theory Stochastically stable equilibrium in game theory This disambiguation...
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Coordination game Simultaneous game Surprisingly popular Equilibrium selection Rendezvous problem, the mathematical problem of maximising the probability of two people...
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will result in an overall general equilibrium. General equilibrium theory contrasts with the theory of partial equilibrium, which analyzes a specific part...
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Gömböc (section Mathematical solution)
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...
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equilibrium. In practice, very few markets operate in this manner. Edgeworth introduced mathematical elements to Economics explicitly in Mathematical...
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Thermodynamic equilibrium is a notion of thermodynamics with axiomatic status referring to an internal state of a single thermodynamic system, or a relation...
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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...
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Exponential dichotomy (category Mathematical physics stubs)
In the mathematical theory of dynamical systems, an exponential dichotomy is a property of an equilibrium point that extends the idea of hyperbolicity...
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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...
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more general than Nash equilibrium Equilibrium point, in mathematics, a constant solution to a differential equation Nash equilibrium, the basic solution...
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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...
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One striking characterization of the equilibrium measure is that it describes the asymptotics of almost every point in C P n {\displaystyle \mathbf {CP}...
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Statistical mechanics (redirect from Non-equilibrium statistical mechanics)
ensemble has settled back down to equilibrium.) In principle, non-equilibrium statistical mechanics could be mathematically exact: ensembles for an isolated...
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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'...
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Hartman–Grobman theorem (category Theorems in mathematical analysis)
behaviour of dynamical systems in the neighbourhood of a hyperbolic equilibrium point. It asserts that linearisation—a natural simplification of the system—is...
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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...
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Evolutionarily stable strategy (redirect from Evolutionary stable equilibrium)
In game-theoretical terms, an ESS is an equilibrium refinement of the Nash equilibrium, being a Nash equilibrium that is also "evolutionarily stable." Thus...
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consumers; therefore a point at which indifference curves cross cannot be an equilibrium, and an equilibrium must be a point of tangency. Secondly, the...
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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...
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Cournot competition (redirect from Cournot-Nash equilibrium)
from the consumer's point of view from those entailed by monopoly. Cournot presents a mathematically correct analysis of the equilibrium condition corresponding...
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Game theory (redirect from Game theory (mathematics))
the Nash equilibrium of the game in his Recherches sur les principes mathématiques de la théorie des richesses (Researches into the Mathematical Principles...
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Yves Balasko (category General equilibrium theorists)
Society for Economic Measurement (SEM). In mathematical economics, Balasko has worked on general equilibrium theory, the overlapping generations model...
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Solution concept (redirect from Equilibrium refinement)
game. The most commonly used solution concepts are equilibrium concepts, most famously Nash equilibrium. Many solution concepts, for many games, will result...
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In mathematics, linearization (British English: linearisation) is finding the linear approximation to a function at a given point. The linear approximation...
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In fluid mechanics, hydrostatic equilibrium, also called hydrostatic balance and hydrostasy, is the condition of a fluid or plastic solid at rest, which...
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In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued...
25 KB (3,237 words) - 13:30, 28 September 2024