{"title":"The cooperative analysis of oligopoly TU markets with infinitely many firms","authors":"Zhe Yang","doi":"10.1007/s10479-024-06392-9","DOIUrl":null,"url":null,"abstract":"<div><p>Our paper develops the work of cooperative oligopoly TU markets. Inspired by Zhao (Int J Game Theory 28(1):25–34, 1999) and Zhao (Games Econ Behav 27(1):153–168, 1999), our paper investigates the TU stable profit allocations of cooperative oligopoly TU markets with countably many firms. We first show that the set of <span>\\(\\alpha -\\)</span>TU stable profit allocations coincides with the set of <span>\\(\\beta -\\)</span>TU stable profit allocations. Furthermore, under some regular conditions, we shall prove the existence theorem of <span>\\(\\alpha -\\)</span>TU stable profit allocations for oligopoly TU markets with countably many firms.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"345 1","pages":"517 - 532"},"PeriodicalIF":4.4000,"publicationDate":"2024-11-13","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://link.springer.com/article/10.1007/s10479-024-06392-9","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
Abstract
Our paper develops the work of cooperative oligopoly TU markets. Inspired by Zhao (Int J Game Theory 28(1):25–34, 1999) and Zhao (Games Econ Behav 27(1):153–168, 1999), our paper investigates the TU stable profit allocations of cooperative oligopoly TU markets with countably many firms. We first show that the set of \(\alpha -\)TU stable profit allocations coincides with the set of \(\beta -\)TU stable profit allocations. Furthermore, under some regular conditions, we shall prove the existence theorem of \(\alpha -\)TU stable profit allocations for oligopoly TU markets with countably many firms.
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.