{"title":"A necessary and sufficient condition for weighted Shapley values in the core","authors":"Xinjuan Chen , Minghua Zhan","doi":"10.1016/j.econlet.2025.112618","DOIUrl":null,"url":null,"abstract":"<div><div>In this note, we improve Skoda and Venel’s condition in Skoda et al. (2023) to be a sufficient and necessary condition. It seems to be the first result on the sufficient and necessary condition to ensure that the weighted Shapley value is in the core.</div></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"256 ","pages":"Article 112618"},"PeriodicalIF":1.8000,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176525004550","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this note, we improve Skoda and Venel’s condition in Skoda et al. (2023) to be a sufficient and necessary condition. It seems to be the first result on the sufficient and necessary condition to ensure that the weighted Shapley value is in the core.
期刊介绍:
Many economists today are concerned by the proliferation of journals and the concomitant labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Economics Letters has been conceived and designed outside the realm of the traditional economics journal. As a Letters Journal, it consists of concise communications (letters) that provide a means of rapid and efficient dissemination of new results, models and methods in all fields of economic research.