{"title":"分割农场几何中博弈论的简单应用","authors":"Reza Habibi","doi":"10.31559/glm2024.14.2.2","DOIUrl":null,"url":null,"abstract":"Two farmers decide to divide a triangle farm between them. The problem is modeled as a simple application of game theory in geometry. The game is defined and is solved, theoretically, in independent case. Simulation results are proposed using the copula function, in the dependent cases. Finally, concluding remarks are proposed.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"115 14","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dividing a Farm: A Simple Application of Game Theory in Geometry\",\"authors\":\"Reza Habibi\",\"doi\":\"10.31559/glm2024.14.2.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Two farmers decide to divide a triangle farm between them. The problem is modeled as a simple application of game theory in geometry. The game is defined and is solved, theoretically, in independent case. Simulation results are proposed using the copula function, in the dependent cases. Finally, concluding remarks are proposed.\",\"PeriodicalId\":32454,\"journal\":{\"name\":\"General Letters in Mathematics\",\"volume\":\"115 14\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Letters in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31559/glm2024.14.2.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Letters in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31559/glm2024.14.2.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dividing a Farm: A Simple Application of Game Theory in Geometry
Two farmers decide to divide a triangle farm between them. The problem is modeled as a simple application of game theory in geometry. The game is defined and is solved, theoretically, in independent case. Simulation results are proposed using the copula function, in the dependent cases. Finally, concluding remarks are proposed.