In economics, the Debreu's theorems are preference representation theorems—statements about the representation of a preference ordering by a real-valued...

Examples are Von Neumann–Morgenstern utility theorem and Debreu's representation theorems. Classification theorem – Describes the objects of a given type,...

This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures...

There are two fundamental theorems of welfare economics. The first states that in economic equilibrium, a set of complete markets, with complete information...

In economics, a utility representation theorem shows that, under certain conditions, a preference ordering can be represented by a real-valued utility...

January 2005). "Gerard Debreu, 83, Dies; Won Nobel in Economics". The New York Times. Düppe, Till (Fall 2012). "Gerard Debreu's secrecy: his life in order...

such as a minimum wage. Debreu's representation theorems A set of preference representation theorems proved by Gerard Debreu. They specify some conditions...

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

nonconvexities in preferences do not destroy the standard results of, say Debreu's theory of value. In the same way, if indivisibilities in the production...

Brouwer's fixed point theorem." Duke Mathematical Journal (1941): 457–459. doi:10.1215/S0012-7094-41-00838-4 "Concrete representation of abstract (L)-spaces...

the number of shoes and socks that an agent has, and vice versa. By Debreu's theorem, if all subsets of commodities are preferentially independent of their...

collapsed since the discovery of Arrow's impossibility theorem and utility representation theorems have shown them to be mathematically self-contradictory...

the Basic Theorems of Classical Welfare Economics" (1951); G. Debreu, "The Coefficient of Resource Utilization" (1951). K. Arrow and G. Debreu, "Existence...

now known as the von Neumann–Morgenstern utility theorem; many similar utility representation theorems exist in other contexts. In 1738, Daniel Bernoulli...

Kenji; Nakamura, Masataka; Okamoto, Yoshio (2005), "The affine representation theorem for abstract convex geometries", Computational Geometry, 30 (2):...

methodology of fixed point theorems is underscored by the awarding of Nobel prizes in 1972 to Kenneth Arrow, in 1983 to Gérard Debreu, and in 1994 to John Nash...

become illuminated by this new set of mathematical theorems, to replace the old theorems of Arrow–Debreu and Lange–Lerner (pp. 4–6, 231–32)." Stiglitz mentions...

"Hicks–Hansen model". An Eponymous Dictionary of Economics: A Guide to Laws and Theorems Named after Economists. Edward Elgar. ISBN 978-1-84376-029-0. Romer, David...

statistics. In mathematical statistics, Wold contributed the Cramér–Wold theorem characterizing the normal distribution and developed the Wold decomposition...

terms, as in formulation of the two fundamental theorems of welfare economics and in the Arrow–Debreu model of general equilibrium (also discussed below)...

incomplete markets are markets in which there does not exist an Arrow–Debreu security for every possible state of nature. In contrast with complete markets...

JSTOR 1912511. Milgrom, Paul (1981c). "Good News and Bad News: Representation Theorems and Applications". Bell Journal of Economics. 12 (2): 380–91. CiteSeerX 10...

where the supply and demand curves intersect. The Sonnenschein–Mantel–Debreu theorem shows that the standard model cannot be rigorously derived in general...

perfected it in his 1951 book "Social Choice and Individual Values". Gérard Debreu, influenced by the ideas of the Bourbaki group, championed the axiomatization...

With the above relationship established, the further specialized Arrow–Debreu model may be derived. This result suggests that, under certain economic...

Daniel (October 1, 1992). "Advances in prospect theory: Cumulative representation of uncertainty". Journal of Risk and Uncertainty. 5 (4): 297–323. doi:10...

Brownian motion Cameron–Martin theorem Feynman–Kac formula Girsanov's theorem Itô's lemma Martingale representation theorem Radon–Nikodym derivative Stochastic...

solution can also be found in polytime.: Thm.6.5.14  Note that the above theorems do not require an assumption of full-dimensionality or a lower bound on...

for estimating the utility functions of human subjects. Debreu, Gérard (1954), "Representation of a preference ordering by a numerical function", in Thrall...

durable, form, which is convenient. Paper money is, in this model, a representation of gold or silver, almost without value of its own but held in circulation...