{"title":"通过傅立叶-莫兹金消元实现冯-诺依曼最小定理","authors":"Mark Voorneveld","doi":"arxiv-2408.11504","DOIUrl":null,"url":null,"abstract":"Fourier-Motzkin elimination, a standard method for solving systems of linear\ninequalities, leads to an elementary, short, and self-contained proof of von\nNeumann's minimax theorem.","PeriodicalId":501188,"journal":{"name":"arXiv - ECON - Theoretical Economics","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Von Neumann's minimax theorem through Fourier-Motzkin elimination\",\"authors\":\"Mark Voorneveld\",\"doi\":\"arxiv-2408.11504\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fourier-Motzkin elimination, a standard method for solving systems of linear\\ninequalities, leads to an elementary, short, and self-contained proof of von\\nNeumann's minimax theorem.\",\"PeriodicalId\":501188,\"journal\":{\"name\":\"arXiv - ECON - Theoretical Economics\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - ECON - Theoretical Economics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.11504\",\"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 - ECON - Theoretical Economics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.11504","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Von Neumann's minimax theorem through Fourier-Motzkin elimination
Fourier-Motzkin elimination, a standard method for solving systems of linear
inequalities, leads to an elementary, short, and self-contained proof of von
Neumann's minimax theorem.
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