{"title":"具有g期望的随机微分对策的MP和DPP的关系","authors":"Shi Jingtao","doi":"10.1109/CHICC.2015.7259882","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the relationship between maximum principle (MP) and dynamic programming principle (DPP) for zero-sum stochastic differential games with g-expectation. Under certain differentiability conditions, relations among the adjoint processes, the generalized Hamiltonian function and the value function are given.","PeriodicalId":421276,"journal":{"name":"2015 34th Chinese Control Conference (CCC)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Relationship between MP and DPP for stochastic differential games with g-expectation\",\"authors\":\"Shi Jingtao\",\"doi\":\"10.1109/CHICC.2015.7259882\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the relationship between maximum principle (MP) and dynamic programming principle (DPP) for zero-sum stochastic differential games with g-expectation. Under certain differentiability conditions, relations among the adjoint processes, the generalized Hamiltonian function and the value function are given.\",\"PeriodicalId\":421276,\"journal\":{\"name\":\"2015 34th Chinese Control Conference (CCC)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-09-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 34th Chinese Control Conference (CCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CHICC.2015.7259882\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 34th Chinese Control Conference (CCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CHICC.2015.7259882","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Relationship between MP and DPP for stochastic differential games with g-expectation
This paper is concerned with the relationship between maximum principle (MP) and dynamic programming principle (DPP) for zero-sum stochastic differential games with g-expectation. Under certain differentiability conditions, relations among the adjoint processes, the generalized Hamiltonian function and the value function are given.