{"title":"一般市场中均值方差偏好与单调均值方差偏好的比较:一个新的视角","authors":"Yuchen Li , Zongxia Liang , Shunzhi Pang","doi":"10.1016/j.orl.2025.107298","DOIUrl":null,"url":null,"abstract":"<div><div>We propose a general framework to analyze the relationship between mean-variance and monotone mean-variance portfolio selections. Our framework does not rely on specific market settings, requiring only that the admissible final wealth set is closed or, further convex and closed. We apply this framework to several different markets: complete market, semimartingale market, market with cone-constrained strategies, and discrete-time market. We believe this framework can be extended to other markets, offering deeper insights into the relationship between these two preferences.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"61 ","pages":"Article 107298"},"PeriodicalIF":0.8000,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparison between mean-variance and monotone mean-variance preferences in general markets: A new perspective\",\"authors\":\"Yuchen Li , Zongxia Liang , Shunzhi Pang\",\"doi\":\"10.1016/j.orl.2025.107298\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We propose a general framework to analyze the relationship between mean-variance and monotone mean-variance portfolio selections. Our framework does not rely on specific market settings, requiring only that the admissible final wealth set is closed or, further convex and closed. We apply this framework to several different markets: complete market, semimartingale market, market with cone-constrained strategies, and discrete-time market. We believe this framework can be extended to other markets, offering deeper insights into the relationship between these two preferences.</div></div>\",\"PeriodicalId\":54682,\"journal\":{\"name\":\"Operations Research Letters\",\"volume\":\"61 \",\"pages\":\"Article 107298\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-04-16\",\"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/S0167637725000598\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637725000598","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}
Comparison between mean-variance and monotone mean-variance preferences in general markets: A new perspective
We propose a general framework to analyze the relationship between mean-variance and monotone mean-variance portfolio selections. Our framework does not rely on specific market settings, requiring only that the admissible final wealth set is closed or, further convex and closed. We apply this framework to several different markets: complete market, semimartingale market, market with cone-constrained strategies, and discrete-time market. We believe this framework can be extended to other markets, offering deeper insights into the relationship between these two preferences.
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.