{"title":"An even tighter bound for the Shapley–Folkman–Starr theorem","authors":"Haoyu Wu , Ao Tang","doi":"10.1016/j.jmateco.2024.103028","DOIUrl":null,"url":null,"abstract":"<div><p>Based on a previous refined Shapley–Folkman lemma, we derive a tighter error bound for the Shapley–Folkman–Starr theorem and apply the result to the course allocation problem.</p></div>","PeriodicalId":50145,"journal":{"name":"Journal of Mathematical Economics","volume":"114 ","pages":"Article 103028"},"PeriodicalIF":1.0000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304406824000880","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
Based on a previous refined Shapley–Folkman lemma, we derive a tighter error bound for the Shapley–Folkman–Starr theorem and apply the result to the course allocation problem.
期刊介绍:
The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.