{"title":"放宽符号对称性和加权团结值","authors":"Wenzhong Li , Genjiu Xu , Panfei Sun","doi":"10.1016/j.orl.2024.107147","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we define and study the class of weighted solidarity values. First, we show that the weighted solidarity values are determined by an underlying procedure of sharing marginal contribution. Then, we propose two relaxations of sign symmetry, called sign symmetry for team mates and weak sign symmetry for team mates, that together with efficiency, additivity, and the A-null player property characterize the classes of positively weighted solidarity values and weighted solidarity values, respectively.</p></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"57 ","pages":"Article 107147"},"PeriodicalIF":0.8000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Relaxations of sign symmetry and the weighted solidarity values\",\"authors\":\"Wenzhong Li , Genjiu Xu , Panfei Sun\",\"doi\":\"10.1016/j.orl.2024.107147\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we define and study the class of weighted solidarity values. First, we show that the weighted solidarity values are determined by an underlying procedure of sharing marginal contribution. Then, we propose two relaxations of sign symmetry, called sign symmetry for team mates and weak sign symmetry for team mates, that together with efficiency, additivity, and the A-null player property characterize the classes of positively weighted solidarity values and weighted solidarity values, respectively.</p></div>\",\"PeriodicalId\":54682,\"journal\":{\"name\":\"Operations Research Letters\",\"volume\":\"57 \",\"pages\":\"Article 107147\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-07-25\",\"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/S016763772400083X\",\"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/S016763772400083X","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}
Relaxations of sign symmetry and the weighted solidarity values
In this paper, we define and study the class of weighted solidarity values. First, we show that the weighted solidarity values are determined by an underlying procedure of sharing marginal contribution. Then, we propose two relaxations of sign symmetry, called sign symmetry for team mates and weak sign symmetry for team mates, that together with efficiency, additivity, and the A-null player property characterize the classes of positively weighted solidarity values and weighted solidarity values, respectively.
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.