{"title":"一个对策与它的限制对策之间p位置的保存","authors":"Wen An Liu, Weiwei Li","doi":"10.1109/CSO.2014.52","DOIUrl":null,"url":null,"abstract":"E. Duchene et al investigate games whose sets of allowed moves are subsets of Wythoff's one, and whose set of P-positions is exactly Wythoff's sequence. Their results show that such a game does not exist. In this paper, we find a pair of games, one is the restricted version of the other, such that they have the same set of P-positions. We also find another pair of games, one is the restricted version of the other, such that they do not have the same set of P-positions. This means that the preservation of P-positions between a game and its restricted game depends on the game itself.","PeriodicalId":174800,"journal":{"name":"2014 Seventh International Joint Conference on Computational Sciences and Optimization","volume":"250 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Preservation of P-Positions between a Game and Its Restricted Game\",\"authors\":\"Wen An Liu, Weiwei Li\",\"doi\":\"10.1109/CSO.2014.52\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"E. Duchene et al investigate games whose sets of allowed moves are subsets of Wythoff's one, and whose set of P-positions is exactly Wythoff's sequence. Their results show that such a game does not exist. In this paper, we find a pair of games, one is the restricted version of the other, such that they have the same set of P-positions. We also find another pair of games, one is the restricted version of the other, such that they do not have the same set of P-positions. This means that the preservation of P-positions between a game and its restricted game depends on the game itself.\",\"PeriodicalId\":174800,\"journal\":{\"name\":\"2014 Seventh International Joint Conference on Computational Sciences and Optimization\",\"volume\":\"250 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 Seventh International Joint Conference on Computational Sciences and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CSO.2014.52\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 Seventh International Joint Conference on Computational Sciences and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSO.2014.52","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
E. Duchene等人研究了一种博弈，其允许的走法集合是Wythoff序列的子集，其p位集合恰好是Wythoff序列。他们的结果表明，这样的博弈并不存在。在本文中，我们找到了一对对策，其中一个是另一个的限制版本，使得它们具有相同的p位置集。我们还发现了另一对博弈，一个是另一个的限制版本，它们没有相同的p位置集合。这意味着一个游戏和它的受限游戏之间的p位置的保存取决于游戏本身。
Preservation of P-Positions between a Game and Its Restricted Game
E. Duchene et al investigate games whose sets of allowed moves are subsets of Wythoff's one, and whose set of P-positions is exactly Wythoff's sequence. Their results show that such a game does not exist. In this paper, we find a pair of games, one is the restricted version of the other, such that they have the same set of P-positions. We also find another pair of games, one is the restricted version of the other, such that they do not have the same set of P-positions. This means that the preservation of P-positions between a game and its restricted game depends on the game itself.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
