{"title":"免费最后一次斯塔克尔伯格差分游戏","authors":"Chiara Brambilla, L. Grosset","doi":"10.12988/imf.2022.912312","DOIUrl":null,"url":null,"abstract":"In this paper, we analyse a new formulation of Stackelberg differential games. We assume that the Leader can control not only the dynamics of the game, but also the length of the programming interval. This formulation of a free final time Stackelberg differential game is not explicitly considered in the literature and presents some interesting issues. After a formal definition of this kind of differential game, we show, using a practical example, the main difficulties associated with this new definition. We close the article by presenting two open questions related to this issue.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"101 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Free final time Stackelberg differential games\",\"authors\":\"Chiara Brambilla, L. Grosset\",\"doi\":\"10.12988/imf.2022.912312\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we analyse a new formulation of Stackelberg differential games. We assume that the Leader can control not only the dynamics of the game, but also the length of the programming interval. This formulation of a free final time Stackelberg differential game is not explicitly considered in the literature and presents some interesting issues. After a formal definition of this kind of differential game, we show, using a practical example, the main difficulties associated with this new definition. We close the article by presenting two open questions related to this issue.\",\"PeriodicalId\":107214,\"journal\":{\"name\":\"International Mathematical Forum\",\"volume\":\"101 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Mathematical Forum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/imf.2022.912312\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematical Forum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2022.912312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we analyse a new formulation of Stackelberg differential games. We assume that the Leader can control not only the dynamics of the game, but also the length of the programming interval. This formulation of a free final time Stackelberg differential game is not explicitly considered in the literature and presents some interesting issues. After a formal definition of this kind of differential game, we show, using a practical example, the main difficulties associated with this new definition. We close the article by presenting two open questions related to this issue.