{"title":"随机二次纳什与领导-追随者博弈","authors":"G. Papavassilopoulos","doi":"10.1109/CDC.1980.271990","DOIUrl":null,"url":null,"abstract":"In this paper we study and solve completely the static Nash and Leader-Follower games where the players have quadratic costs and linear measurements of a random variable which enters linearly into the costs, see (1)- (7). Several dynamic cases are included in the static formulation as long as appropriate nestedness conditions [4] are imposed on the information of the players.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Stochastic quadratic Nash and leader-follower games\",\"authors\":\"G. Papavassilopoulos\",\"doi\":\"10.1109/CDC.1980.271990\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study and solve completely the static Nash and Leader-Follower games where the players have quadratic costs and linear measurements of a random variable which enters linearly into the costs, see (1)- (7). Several dynamic cases are included in the static formulation as long as appropriate nestedness conditions [4] are imposed on the information of the players.\",\"PeriodicalId\":332964,\"journal\":{\"name\":\"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1980-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1980.271990\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1980.271990","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stochastic quadratic Nash and leader-follower games
In this paper we study and solve completely the static Nash and Leader-Follower games where the players have quadratic costs and linear measurements of a random variable which enters linearly into the costs, see (1)- (7). Several dynamic cases are included in the static formulation as long as appropriate nestedness conditions [4] are imposed on the information of the players.