Edgeworth's limit theorem is an economic theorem, named after Francis Ysidro Edgeworth, stating that the core of an economy shrinks to the set of Walrasian...

Limit theorem may refer to: Central limit theorem, in probability theory Edgeworth's limit theorem, in economics Plastic limit theorems, in continuum...

larger. In statistics, Edgeworth is most prominently remembered by having his name on the Edgeworth series. Though Edgeworth's economic ideas were original...

theorem (economics) Bondareva–Shapley theorem (economics) Coase theorem (economics) Duggan–Schwartz theorem (voting theory) Edgeworth's limit theorem...

In probability theory, the central limit theorem states that, under certain circumstances, the probability distribution of the scaled mean of a random...

modelled. Edgeworth's limit theorem shows that under certain stronger assumptions, the households can do no better than price-take at the limit of an infinitely...

influenced the development of the welfare theorems as they now stand. In 1934 Lerner restated Edgeworth's condition for exchange that indifference curves...

scale – Economies of scope – Economy of Canada – Ecotax – Edgeworth box – Edgeworth's limit theorem – Efficiency dividend – Efficiency wages – Efficient-market...

can sell, regardless of price. This constraint may be physical (as in Edgeworth’s formulation) or may depend on price or other conditions. A key result...

Edgeworth's Limit Theorem, extending the Bertrand Model to handle capacity constraints, and proposing Edgeworth's Paradox for when there is no limit to...

efficient while imperfect competition is not. Conversely, by Edgeworth's limit theorem, the addition of more firms to an imperfect market will cause...

stable price. It was proposed to solve the Bertrand paradox. Edgeworth's limit theorem A theorem stating that the core of an economy shrinks to the set of...

In game theory, folk theorems are a class of theorems describing an abundance of Nash equilibrium payoff profiles in repeated games (Friedman 1971). The...

Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...

similar expansion as an improvement to the central limit theorem. The advantage of the Edgeworth series is that the error is controlled, so that it is...

In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973. The theorem justifies a puzzling aspect of mixed strategy...

central limit theorem is given by the Berry–Esseen theorem, improvements of the approximation are given by the Edgeworth expansions. This theorem can also...

n2". An example of an important asymptotic result is the prime number theorem. Let π(x) denote the prime-counting function (which is not directly related...

design Central limit theorem Central limit theorem (illustration) – redirects to Illustration of the central limit theorem Central limit theorem for directional...

limit of a convergent sequence of zonotopes). It is used in economics, in ("bang–bang") control theory, and in statistical theory. Lyapunov's theorem...

of large numbers, a central limit theorem, and a large-deviations principle. These proofs of probabilistic limit theorems used the Shapley–Folkman–Starr...

illustration of the central limit theorem Berry–Esséen theorem Berry–Esséen theorem De Moivre–Laplace theorem Lyapunov's central limit theorem Misconceptions about...

important in the theory of repeated games. One of the central theorems in this theory, the folk theorem, relies on the minimax values. In combinatorial game theory...

rely on fixed-point theorems such as Brouwer fixed-point theorem for functions (or, more generally, the Kakutani fixed-point theorem for set-valued functions)...

however, the idea was developed into a mathematical model by Francis Ysidro Edgeworth in 1889. Considering the simple framework, the underlying assumptions...

core property, but not vice versa. The Edgeworth conjecture states that, given additional assumptions, the limit of the core as the number of consumers...

how much better one choice is compared to another. Arrow's impossibility theorem is a key result on social welfare functions, showing an important difference...

Cauchy–Kovalevskaya theorem – Augustin-Louis Cauchy, Sofia Kovalevskaya Cauer filter – Wilhelm Cauer Chandler wobble – Seth Carlo Chandler Chandrasekhar limit, number...

to the multidimensional rate of convergence problem for the central limit theorem in his Ph.D. thesis published in the Bulletin of the American Mathematical...

This fact—that all closed games are determined—is called the Gale–Stewart theorem. Note that by symmetry, all open games are determined as well. (A game...