The Shapley–Folkman lemma is a result in convex geometry that describes the Minkowski addition of sets in a vector space. It is named after mathematicians...

Monderer), the Aumann–Shapley pricing, the Harsanyi–Shapley solution, the Snow–Shapley theorem for matrix games, and the Shapley–Folkman lemma & theorem bear...

author of Ekeland's variational principle and for his use of the Shapley–Folkman lemma in optimization theory. He has contributed to the periodic solutions...

"quasi-equilbria" of the original economy; Starr's proof used the Shapley–Folkman theorem. (Uzawa, 1962) showed that the existence of general equilibrium...

most k + 2. In convex geometry, Folkman worked with his RAND colleague Lloyd Shapley to prove the Shapley–Folkman lemma and theorem: Their results suggest...

Ramsey theory Shapley–Folkman lemma, a result in convex geometry This disambiguation page lists articles associated with the title Folkman. If an internal...

the Minkowski sum of the same sets. This provides a step towards the Shapley–Folkman theorem bounding the distance of a Minkowski sum from its convex hull...

in San Francisco and at UC San Diego. Starr first published the Shapley–Folkman lemma on the existence of quasi-equilibria in economies with non-convexities...

Integrally-convex set John ellipsoid Pseudoconvexity Radon's theorem Shapley–Folkman lemma Symmetric set Morris, Carla C.; Stark, Robert M. (24 August 2015)...

Carathéodory's theorem Doignon's theorem Kirchberger's theorem Shapley–Folkman lemma Krein–Milman theorem Choquet theory Radon's theorem, and its generalization...

Problems involving arithmetic progressions Schnirelmann density Shapley–Folkman lemma Sidon set Sum-free set Restricted sumset Sum-product phenomenon...

Restricted sumset Sidon set Sum-free set Schnirelmann density Shapley–Folkman lemma X + Y sorting Henry Mann (1976). Addition Theorems: The Addition...

convex preference order. When non-convex preferences arise, the Shapley–Folkman lemma is applicable. Lexicographic preferences are a special case of preferences...

disjoint sets whose convex hulls intersect Separating axis theorem Shapley–Folkman lemma - a result in convex geometry with applications in mathematical...

Parallel curve – Generalization of the concept of parallel lines Shapley–Folkman lemma – Sums of sets of vectors are nearly convex Sumset – Set of pairwise...

is the content of the Erdős–Turán conjecture on additive bases. Shapley–Folkman lemma Additive combinatorics Multiplicative combinatorics Multiplicative...

game, Shapley–Shubik power index, Bondareva–Shapley theorem, Gale–Shapley algorithm, Shapley–Folkman lemma 2013 Eugene F. Fama (b. 1939)  United States...

interested Ivar Ekeland and Jean–Pierre Aubin, who applied the Shapley–Folkman lemma to explain Lemaréchal's success. The Aubin–Ekeland analysis of duality...

statistical theory. Lyapunov's theorem has been proved by using the Shapley–Folkman lemma, which has been viewed as a discrete analogue of Lyapunov's theorem...

closed convex hull of its extreme points List of convexity topics Shapley–Folkman lemma – Sums of sets of vectors are nearly convex Errett Bishop; Karl...

function Level set Quasi-convex function Semi-continuous function Shapley–Folkman lemma Hal R. Varian; Intermediate Microeconomics A Modern Approach. New...

mathematical economics, and applied mathematics (for economists). The Shapley–Folkman lemma establishes that non-convexities are compatible with approximate...

lies in the intersection of the complexity classes PPAD and PLS. Shapley–Folkman lemma Helly's theorem Kirchberger's theorem N-dimensional polyhedron Radon's...

can be partitioned into two subsets whose convex hulls intersect Shapley–Folkman lemma – Sums of sets of vectors are nearly convex Topological vector space –...

mathematical economics, and applied mathematics (for economists). The Shapley–Folkman lemma results establish that non‑convexities are compatible with approximate...

Sard's lemma and the Baire category theorem; this method was pioneered by Gérard Debreu and Stephen Smale. Starr (1969) applied the Shapley–Folkman–Starr...