{"title":"结合深思熟虑的研究和启发,对相互关联的问题形成意见","authors":"Ruijie Wang , Yuhao Zhou , Matúš Medo","doi":"10.1016/j.chaos.2025.116562","DOIUrl":null,"url":null,"abstract":"<div><div>The ever-increasing complexity of the world around us challenges our ability to understand it. We study a model where an individual forms opinions about many interconnected questions. This model was shown to be challenging for a boundedly rational agent. We extend it by assuming that the individual combines a targeted study of some questions and various heuristics for the remaining ones. We find that the highest opinion accuracy is generally achieved when neither one question is studied particularly well nor when many questions are studied a little. Despite big differences in accuracy between the considered heuristics, the optimal number of questions in which the study budget is invested grows linearly with the budget for all of them. The study budget necessary to achieve the desired opinion accuracy exhibits a simple scaling with the total number of questions. In this way, we exemplify efficient learning in a complex system using simple heuristics.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116562"},"PeriodicalIF":5.3000,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Combining deliberate study and heuristics to form opinions on interconnected questions\",\"authors\":\"Ruijie Wang , Yuhao Zhou , Matúš Medo\",\"doi\":\"10.1016/j.chaos.2025.116562\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The ever-increasing complexity of the world around us challenges our ability to understand it. We study a model where an individual forms opinions about many interconnected questions. This model was shown to be challenging for a boundedly rational agent. We extend it by assuming that the individual combines a targeted study of some questions and various heuristics for the remaining ones. We find that the highest opinion accuracy is generally achieved when neither one question is studied particularly well nor when many questions are studied a little. Despite big differences in accuracy between the considered heuristics, the optimal number of questions in which the study budget is invested grows linearly with the budget for all of them. The study budget necessary to achieve the desired opinion accuracy exhibits a simple scaling with the total number of questions. In this way, we exemplify efficient learning in a complex system using simple heuristics.</div></div>\",\"PeriodicalId\":9764,\"journal\":{\"name\":\"Chaos Solitons & Fractals\",\"volume\":\"199 \",\"pages\":\"Article 116562\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-06-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chaos Solitons & Fractals\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0960077925005752\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925005752","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Combining deliberate study and heuristics to form opinions on interconnected questions
The ever-increasing complexity of the world around us challenges our ability to understand it. We study a model where an individual forms opinions about many interconnected questions. This model was shown to be challenging for a boundedly rational agent. We extend it by assuming that the individual combines a targeted study of some questions and various heuristics for the remaining ones. We find that the highest opinion accuracy is generally achieved when neither one question is studied particularly well nor when many questions are studied a little. Despite big differences in accuracy between the considered heuristics, the optimal number of questions in which the study budget is invested grows linearly with the budget for all of them. The study budget necessary to achieve the desired opinion accuracy exhibits a simple scaling with the total number of questions. In this way, we exemplify efficient learning in a complex system using simple heuristics.
期刊介绍:
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.