{"title":"线性二次平均场博弈的最新结果","authors":"K. Sung","doi":"10.1109/CACS.2013.6734102","DOIUrl":null,"url":null,"abstract":"In this article, we will present the recent development of the Linear-Quadratic Mean Field Games with a time-delay coupling term through the adjoint equation approach. In comparison to the HJB equation approach, the novelty of the adjoint equation approach is that it can provide delay-dependent sufficient conditions for the unique existence of the equilibrium strategy and more relaxed conditions in the scalar case.","PeriodicalId":186492,"journal":{"name":"2013 CACS International Automatic Control Conference (CACS)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Recent results in linear-quadratic mean field games\",\"authors\":\"K. Sung\",\"doi\":\"10.1109/CACS.2013.6734102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we will present the recent development of the Linear-Quadratic Mean Field Games with a time-delay coupling term through the adjoint equation approach. In comparison to the HJB equation approach, the novelty of the adjoint equation approach is that it can provide delay-dependent sufficient conditions for the unique existence of the equilibrium strategy and more relaxed conditions in the scalar case.\",\"PeriodicalId\":186492,\"journal\":{\"name\":\"2013 CACS International Automatic Control Conference (CACS)\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 CACS International Automatic Control Conference (CACS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CACS.2013.6734102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 CACS International Automatic Control Conference (CACS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CACS.2013.6734102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Recent results in linear-quadratic mean field games
In this article, we will present the recent development of the Linear-Quadratic Mean Field Games with a time-delay coupling term through the adjoint equation approach. In comparison to the HJB equation approach, the novelty of the adjoint equation approach is that it can provide delay-dependent sufficient conditions for the unique existence of the equilibrium strategy and more relaxed conditions in the scalar case.