{"title":"有偏好的合作博弈：权重规则在圣彼得堡公共空间问题中的应用","authors":"V. V. Gusev","doi":"10.1134/S1990478924020091","DOIUrl":null,"url":null,"abstract":"<p> The paper examines the problem of the distribution of public space. We use the methods\nof cooperative game theory to solve this problem. Players are districts, while the value of the\ncharacteristic function is the total number of people interested in a particular type of public space\nin the areas under consideration. The axioms that are characteristic of the problem of division are\ncompiled. A special value of the cooperative game is derived that depends on the weights of the\nplayers. It is shown how to choose the weights by optimization methods.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 2","pages":"271 - 281"},"PeriodicalIF":0.5800,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cooperative Games with Preferences: Application\\nof the Weight Rule to Problems of Public Space in St. Petersburg\",\"authors\":\"V. V. Gusev\",\"doi\":\"10.1134/S1990478924020091\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> The paper examines the problem of the distribution of public space. We use the methods\\nof cooperative game theory to solve this problem. Players are districts, while the value of the\\ncharacteristic function is the total number of people interested in a particular type of public space\\nin the areas under consideration. The axioms that are characteristic of the problem of division are\\ncompiled. A special value of the cooperative game is derived that depends on the weights of the\\nplayers. It is shown how to choose the weights by optimization methods.\\n</p>\",\"PeriodicalId\":607,\"journal\":{\"name\":\"Journal of Applied and Industrial Mathematics\",\"volume\":\"18 2\",\"pages\":\"271 - 281\"},\"PeriodicalIF\":0.5800,\"publicationDate\":\"2024-08-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied and Industrial Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1990478924020091\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478924020091","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
Cooperative Games with Preferences: Application
of the Weight Rule to Problems of Public Space in St. Petersburg
The paper examines the problem of the distribution of public space. We use the methods
of cooperative game theory to solve this problem. Players are districts, while the value of the
characteristic function is the total number of people interested in a particular type of public space
in the areas under consideration. The axioms that are characteristic of the problem of division are
compiled. A special value of the cooperative game is derived that depends on the weights of the
players. It is shown how to choose the weights by optimization methods.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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