An even tighter bound for the Shapley-Folkman-Starr theorem

DOI10.1016/J.JMATECO.2024.103028MaRDI QIDQ6615361

Ao Tang, Hao-Yu Wu

Publication date: 8 October 2024

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

zbMATH Keywords

Shapley-Folkman lemmaerror-estimation

Mathematics Subject Classification ID

Resource and cost allocation (including fair division, apportionment, etc.) (91B32) General convexity (52A99)

Cites Work

• An improved bound for the Shapley-Folkman theorem
• A strong law of large numbers for random compact sets
• A simple proof of the Shapley-Folkman theorem
• Über die kleinste Kugel, die eine räumliche Figur einschließt.
• Theorems of Carathéodory, Helly, and Tverberg without dimension
• A New Proof of the Lyapunov Convexity Theorem
• Estimates of the Duality Gap in Nonconvex Optimization
• Duality Gap Estimation via a Refined Shapley--Folkman Lemma
• Quasi-Equilibria in Markets with Non-Convex Preferences
• Convex Analysis

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