{"title":"寡头竞争中的拓扑混沌","authors":"Xiaoliang Li , Ally Quan Zhang","doi":"10.1016/j.econlet.2025.112330","DOIUrl":null,"url":null,"abstract":"<div><div>This letter demonstrates that oligopoly competition can exhibit topological chaos by applying Mitra’s sufficient condition. To overcome the computational challenges arising from the lack of a simple closed-form expression for the modal point, we develop a resultant-based method. Our results show that, for a sufficiently large number of firms, there must exist parameter values that guarantee topological chaos.</div></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"252 ","pages":"Article 112330"},"PeriodicalIF":2.1000,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Topological chaos in oligopoly competition\",\"authors\":\"Xiaoliang Li , Ally Quan Zhang\",\"doi\":\"10.1016/j.econlet.2025.112330\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This letter demonstrates that oligopoly competition can exhibit topological chaos by applying Mitra’s sufficient condition. To overcome the computational challenges arising from the lack of a simple closed-form expression for the modal point, we develop a resultant-based method. Our results show that, for a sufficiently large number of firms, there must exist parameter values that guarantee topological chaos.</div></div>\",\"PeriodicalId\":11468,\"journal\":{\"name\":\"Economics Letters\",\"volume\":\"252 \",\"pages\":\"Article 112330\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2025-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Economics Letters\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0165176525001673\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176525001673","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
This letter demonstrates that oligopoly competition can exhibit topological chaos by applying Mitra’s sufficient condition. To overcome the computational challenges arising from the lack of a simple closed-form expression for the modal point, we develop a resultant-based method. Our results show that, for a sufficiently large number of firms, there must exist parameter values that guarantee topological chaos.
期刊介绍:
Many economists today are concerned by the proliferation of journals and the concomitant labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Economics Letters has been conceived and designed outside the realm of the traditional economics journal. As a Letters Journal, it consists of concise communications (letters) that provide a means of rapid and efficient dissemination of new results, models and methods in all fields of economic research.