{"title":"残差后裔动态博弈(RD3G)--受约束泛和博弈的快速牛顿求解器","authors":"Zhiyuan Zhang, Panagiotis Tsiotras","doi":"arxiv-2409.12152","DOIUrl":null,"url":null,"abstract":"We present Residual Descent Differential Dynamic Game (RD3G), a Newton-based\nsolver for constrained multi-agent game-control problems. The proposed solver\nseeks a local Nash equilibrium for problems where agents are coupled through\ntheir rewards and state constraints. We compare the proposed method against\ncompeting state-of-the-art techniques and showcase the computational benefits\nof the RD3G algorithm on several example problems.","PeriodicalId":501031,"journal":{"name":"arXiv - CS - Robotics","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Residual Descent Differential Dynamic Game (RD3G) -- A Fast Newton Solver for Constrained General Sum Games\",\"authors\":\"Zhiyuan Zhang, Panagiotis Tsiotras\",\"doi\":\"arxiv-2409.12152\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present Residual Descent Differential Dynamic Game (RD3G), a Newton-based\\nsolver for constrained multi-agent game-control problems. The proposed solver\\nseeks a local Nash equilibrium for problems where agents are coupled through\\ntheir rewards and state constraints. We compare the proposed method against\\ncompeting state-of-the-art techniques and showcase the computational benefits\\nof the RD3G algorithm on several example problems.\",\"PeriodicalId\":501031,\"journal\":{\"name\":\"arXiv - CS - Robotics\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Robotics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.12152\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Robotics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.12152","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Residual Descent Differential Dynamic Game (RD3G) -- A Fast Newton Solver for Constrained General Sum Games
We present Residual Descent Differential Dynamic Game (RD3G), a Newton-based
solver for constrained multi-agent game-control problems. The proposed solver
seeks a local Nash equilibrium for problems where agents are coupled through
their rewards and state constraints. We compare the proposed method against
competing state-of-the-art techniques and showcase the computational benefits
of the RD3G algorithm on several example problems.