{"title":"Dynamic stability of coalition formation in dynamic games","authors":"Vladimir Mazalov , Jiangjing Zhou","doi":"10.1016/j.orl.2024.107138","DOIUrl":null,"url":null,"abstract":"<div><p>This paper explores the stability of coalition partitions in dynamic games, specifically introducing a concept of dynamically stable Nash coalition partition for dynamic games. We focus on a Nash equilibrium where coalitions act as unified players and discuss dynamic stability, where players have no incentive to switch coalitions. A case study on “fish wars” illustrates conditions under which dynamic stability occurs, utilizing a time-consistent imputation distribution procedure to allocate payoffs along optimal trajectories.</p></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"55 ","pages":"Article 107138"},"PeriodicalIF":0.8000,"publicationDate":"2024-07-01","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/S0167637724000749","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
This paper explores the stability of coalition partitions in dynamic games, specifically introducing a concept of dynamically stable Nash coalition partition for dynamic games. We focus on a Nash equilibrium where coalitions act as unified players and discuss dynamic stability, where players have no incentive to switch coalitions. A case study on “fish wars” illustrates conditions under which dynamic stability occurs, utilizing a time-consistent imputation distribution procedure to allocate payoffs along optimal trajectories.
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.
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