加权平均沙普利值的一般化

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Operations Research Letters Pub Date : 2024-05-01 DOI:10.1016/j.orl.2024.107118

Hyungkyu Cheon, Dong Gu Choi

{"title":"加权平均沙普利值的一般化","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":"{\"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}","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

摘要

在本研究中，我们提供了一类新的解决方案，通过允许沙普利值和等分值中的棋手异质性，对加权公平沙普利值进行了概括。为了推导所提出的值，我们提出了弱单调性、弱微分空棋手出局、效率、空博弈、空棋手比率不变性和弱超弱微分边际性等公理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Generalization of weighted-egalitarian Shapley values

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

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.