{"title":"Arrival timing game for future limited items and full capacity announcement","authors":"Bara Kim , Geofferey Jiyun Kim","doi":"10.1016/j.orl.2025.107265","DOIUrl":null,"url":null,"abstract":"<div><div>We investigate the arrival timing problem, where customers compete to arrive earlier in order to secure one of a limited number of items that will be sold in the future. We derive the formulas for the unique Nash equilibrium in each scenario, with and without a full-capacity announcement. With the full-capacity announcement alone, it is possible to enhance both the expected social benefit and the expected profit under optimal pricing to reach the ideal level achievable by centralized coordination.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"60 ","pages":"Article 107265"},"PeriodicalIF":0.8000,"publicationDate":"2025-02-25","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/S0167637725000264","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 investigate the arrival timing problem, where customers compete to arrive earlier in order to secure one of a limited number of items that will be sold in the future. We derive the formulas for the unique Nash equilibrium in each scenario, with and without a full-capacity announcement. With the full-capacity announcement alone, it is possible to enhance both the expected social benefit and the expected profit under optimal pricing to reach the ideal level achievable by centralized coordination.
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.