Measures of the non-convexity of sets and the Shapley–Folkman–Starr theorem

DOI10.1017/S0305004100051884zbMath0311.52001MaRDI QIDQ4069389

J. W. S. Cassels

Publication date: 1975

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (19)

Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates ⋮ Large deviations for random upper semicontinuous functions ⋮ Einige Maßzahlen für nichtkonvexe Mengen ⋮ The Shapley-Folkman theorem and the range of a bounded measure: an elementary and unified treatment ⋮ The approximate purification of mixed strategies with finite observation sets ⋮ Equilibrium points of non-atomic games. Asymptotic results ⋮ When the sieve works. II ⋮ Large-Scale Nonconvex Optimization: Randomization, Gap Estimation, and Numerical Resolution ⋮ Vanishing Price of Decentralization in Large Coordinative Nonconvex Optimization ⋮ Theorems of Carathéodory, Helly, and Tverberg without dimension ⋮ Iterated Minkowski sums, horoballs and north-south dynamics ⋮ Approximation of points of the convex hull of a sum of sets by points of the sum: an elementary approach ⋮ The convexification effect of Minkowski summation ⋮ Approximate Carathéodory's theorem in uniformly smooth Banach spaces ⋮ A Note on Large Deviations of Random Sets and Random Upper Semicontinuous Functions ⋮ Multivalued exponentiation analysis. III: Forward exponentials ⋮ A note on the core equivalence theorem ⋮ Two mixed integer programming formulations arising in manufacturing management ⋮ An application of the central limit theorem for banach-space-valued random variables to the theory of random sets

Cites Work

• Quasi-Equilibria in Markets with Non-Convex Preferences

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