{"title":"Subgame perfect Nash equilibrium analysis in a two-population strategic matching queue with nonzero matching times","authors":"Hung Q. Nguyen , Tuan Phung-Duc","doi":"10.1016/j.orl.2025.107362","DOIUrl":null,"url":null,"abstract":"<div><div>We study a two-population strategic queueing game in a double-ended system with nonzero matching times, where agents choose to join or balk. The resulting multi-dimensional state complicates analysis, but it can be shown that one dimension can be omitted in subgame perfect Nash equilibrium. The equilibrium strategies are threshold-based. Numerical results show that targeting one side with optimal pricing can improve social welfare, offering insights for system design.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"63 ","pages":"Article 107362"},"PeriodicalIF":0.9000,"publicationDate":"2025-09-11","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/S0167637725001233","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
We study a two-population strategic queueing game in a double-ended system with nonzero matching times, where agents choose to join or balk. The resulting multi-dimensional state complicates analysis, but it can be shown that one dimension can be omitted in subgame perfect Nash equilibrium. The equilibrium strategies are threshold-based. Numerical results show that targeting one side with optimal pricing can improve social welfare, offering insights for system design.
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.