{"title":"具有地理分布资源的微分对策的解","authors":"R. M. de la Guardia, Y. Sawada, H. Mukai","doi":"10.1109/SICE.2001.977871","DOIUrl":null,"url":null,"abstract":"We present a computer tool for finding a local Nash solution to an adversarial game in which the units of two opposing teams are distributed over a large geographical area. The differential game consists of a quadratic payoff function and a set of ordinary differential equations describing the system dynamics of the unit distribution over a discretized geographical area. The optimum strategy for each team is determined using an iterative algorithm for finding a local Nash equilibrium solution for the game. Experimental results are presented that demonstrate the validity of this concept.","PeriodicalId":415046,"journal":{"name":"SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Solution of a differential game with geographically distributed resources\",\"authors\":\"R. M. de la Guardia, Y. Sawada, H. Mukai\",\"doi\":\"10.1109/SICE.2001.977871\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a computer tool for finding a local Nash solution to an adversarial game in which the units of two opposing teams are distributed over a large geographical area. The differential game consists of a quadratic payoff function and a set of ordinary differential equations describing the system dynamics of the unit distribution over a discretized geographical area. The optimum strategy for each team is determined using an iterative algorithm for finding a local Nash equilibrium solution for the game. Experimental results are presented that demonstrate the validity of this concept.\",\"PeriodicalId\":415046,\"journal\":{\"name\":\"SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.2001.977871\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.2001.977871","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of a differential game with geographically distributed resources
We present a computer tool for finding a local Nash solution to an adversarial game in which the units of two opposing teams are distributed over a large geographical area. The differential game consists of a quadratic payoff function and a set of ordinary differential equations describing the system dynamics of the unit distribution over a discretized geographical area. The optimum strategy for each team is determined using an iterative algorithm for finding a local Nash equilibrium solution for the game. Experimental results are presented that demonstrate the validity of this concept.
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