Thomas Brihaye, N. Markey, Mohamed Ghannem, Lionel Rieg
{"title":"好朋友难寻!","authors":"Thomas Brihaye, N. Markey, Mohamed Ghannem, Lionel Rieg","doi":"10.1109/TIME.2008.10","DOIUrl":null,"url":null,"abstract":"We focus on the problem of finding (the size of) a minimal winning coalition in a multi-player game. We prove that deciding whether there is a winning coalition of size at most k is HP-complete, while deciding whether k is the optimal size is DP -complete. We also study different variants of our original problem: the function problem, where the aim is to effectively compute the coalition; more succinct encoding of the game; and richer families of winning objectives.","PeriodicalId":142549,"journal":{"name":"2008 15th International Symposium on Temporal Representation and Reasoning","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Good Friends are Hard to Find!\",\"authors\":\"Thomas Brihaye, N. Markey, Mohamed Ghannem, Lionel Rieg\",\"doi\":\"10.1109/TIME.2008.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We focus on the problem of finding (the size of) a minimal winning coalition in a multi-player game. We prove that deciding whether there is a winning coalition of size at most k is HP-complete, while deciding whether k is the optimal size is DP -complete. We also study different variants of our original problem: the function problem, where the aim is to effectively compute the coalition; more succinct encoding of the game; and richer families of winning objectives.\",\"PeriodicalId\":142549,\"journal\":{\"name\":\"2008 15th International Symposium on Temporal Representation and Reasoning\",\"volume\":\"69 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 15th International Symposium on Temporal Representation and Reasoning\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TIME.2008.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 15th International Symposium on Temporal Representation and Reasoning","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TIME.2008.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We focus on the problem of finding (the size of) a minimal winning coalition in a multi-player game. We prove that deciding whether there is a winning coalition of size at most k is HP-complete, while deciding whether k is the optimal size is DP -complete. We also study different variants of our original problem: the function problem, where the aim is to effectively compute the coalition; more succinct encoding of the game; and richer families of winning objectives.
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