{"title":"Monotonicity of extremal Walrasian prices in gross substitutes markets","authors":"Stephen Raach","doi":"10.1016/j.orl.2024.107149","DOIUrl":null,"url":null,"abstract":"<div><p>We consider a market of indivisible items with all agents possessing gross substitutes valuations. In this setting, Walrasian prices are guaranteed to exist. Assume that some items become unsaleable, or some new gross substitutes agents enter the market. How does this influence the set of Walrasian prices? In this note, we demonstrate that minimal and maximal Walrasian prices exhibit monotonous behavior in response to changes in supply or demand in gross substitutes markets.</p></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"56 ","pages":"Article 107149"},"PeriodicalIF":0.8000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167637724000853/pdfft?md5=2d16eff6b18aa848b50334a0d4fa977d&pid=1-s2.0-S0167637724000853-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637724000853","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 consider a market of indivisible items with all agents possessing gross substitutes valuations. In this setting, Walrasian prices are guaranteed to exist. Assume that some items become unsaleable, or some new gross substitutes agents enter the market. How does this influence the set of Walrasian prices? In this note, we demonstrate that minimal and maximal Walrasian prices exhibit monotonous behavior in response to changes in supply or demand in gross substitutes markets.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
