{"title":"Generalization of weighted-egalitarian Shapley values","authors":"Hyungkyu Cheon, Dong Gu Choi","doi":"10.1016/j.orl.2024.107118","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, we provide a new class of solutions that generalize the weighted-egalitarian Shapley values by permitting heterogeneity of players in both the Shapley value and equal division value. To derive the proposed value, we present axioms of weak monotonicity, weak differential null player out, efficiency, null game, ratio invariance for null players, and weak superweak differential marginality.</p></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"54 ","pages":"Article 107118"},"PeriodicalIF":0.8000,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637724000543","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we provide a new class of solutions that generalize the weighted-egalitarian Shapley values by permitting heterogeneity of players in both the Shapley value and equal division value. To derive the proposed value, we present axioms of weak monotonicity, weak differential null player out, efficiency, null game, ratio invariance for null players, and weak superweak differential marginality.
期刊介绍：
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
