Giovanna Bimonte, Luigi Senatore, Salvatore Tramontano
{"title":"分区函数形式的 NTU 游戏中的效率与核心","authors":"Giovanna Bimonte, Luigi Senatore, Salvatore Tramontano","doi":"10.1007/s10479-024-06192-1","DOIUrl":null,"url":null,"abstract":"<p>The aim of this paper is to establish a necessary and sufficient condition for the non-emptiness of the core in NTU games in partition function form, given an externality scheme <span>\\( f \\in \\textsf{Ex}(N) \\)</span>. We extend the notion of convexity to incorporate externality effects. By introducing a new concept of rationality, called collective rationality, we demonstrate the efficiency of the grand coalition <span>\\( N \\)</span>. We also identify a sufficient condition for the efficiency of the grand coalition using the property of individual superadditivity.</p>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":null,"pages":null},"PeriodicalIF":4.4000,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Efficiency and the core in NTU games in partition function form\",\"authors\":\"Giovanna Bimonte, Luigi Senatore, Salvatore Tramontano\",\"doi\":\"10.1007/s10479-024-06192-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The aim of this paper is to establish a necessary and sufficient condition for the non-emptiness of the core in NTU games in partition function form, given an externality scheme <span>\\\\( f \\\\in \\\\textsf{Ex}(N) \\\\)</span>. We extend the notion of convexity to incorporate externality effects. By introducing a new concept of rationality, called collective rationality, we demonstrate the efficiency of the grand coalition <span>\\\\( N \\\\)</span>. We also identify a sufficient condition for the efficiency of the grand coalition using the property of individual superadditivity.</p>\",\"PeriodicalId\":8215,\"journal\":{\"name\":\"Annals of Operations Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2024-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Operations Research\",\"FirstCategoryId\":\"91\",\"ListUrlMain\":\"https://doi.org/10.1007/s10479-024-06192-1\",\"RegionNum\":3,\"RegionCategory\":\"管理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"OPERATIONS RESEARCH & MANAGEMENT SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Operations Research","FirstCategoryId":"91","ListUrlMain":"https://doi.org/10.1007/s10479-024-06192-1","RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
摘要
本文的目的是给定一个外部性方案 \( f \ in \textsf{Ex}(N) \),在分割函数形式的NTU博弈中建立一个核心不被emptiness的必要条件和充分条件。我们扩展了凸性的概念,以纳入外部性效应。通过引入一个新的理性概念,即集体理性,我们证明了大联盟的效率。我们还利用个体超加性的特性确定了大联盟效率的充分条件。
Efficiency and the core in NTU games in partition function form
The aim of this paper is to establish a necessary and sufficient condition for the non-emptiness of the core in NTU games in partition function form, given an externality scheme \( f \in \textsf{Ex}(N) \). We extend the notion of convexity to incorporate externality effects. By introducing a new concept of rationality, called collective rationality, we demonstrate the efficiency of the grand coalition \( N \). We also identify a sufficient condition for the efficiency of the grand coalition using the property of individual superadditivity.
期刊介绍:
The Annals of Operations Research publishes peer-reviewed original articles dealing with key aspects of operations research, including theory, practice, and computation. The journal publishes full-length research articles, short notes, expositions and surveys, reports on computational studies, and case studies that present new and innovative practical applications.
In addition to regular issues, the journal publishes periodic special volumes that focus on defined fields of operations research, ranging from the highly theoretical to the algorithmic and the applied. These volumes have one or more Guest Editors who are responsible for collecting the papers and overseeing the refereeing process.