{"title":"掷硬币游戏对线性大小的联盟免疫","authors":"N. Alon, M. Naor","doi":"10.1109/FSCS.1990.89523","DOIUrl":null,"url":null,"abstract":"It is proved that for every c<1 there are perfect-information coin-flipping and leader-election games on n players in which no coalition of cn players can influence the outcome with probability greater than some universal constant times c. It is shown that a random protocol of a certain length has this property, and an explicit construction is given as well.<<ETX>>","PeriodicalId":271949,"journal":{"name":"Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"60","resultStr":"{\"title\":\"Coin-flipping games immune against linear-sized coalitions\",\"authors\":\"N. Alon, M. Naor\",\"doi\":\"10.1109/FSCS.1990.89523\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is proved that for every c<1 there are perfect-information coin-flipping and leader-election games on n players in which no coalition of cn players can influence the outcome with probability greater than some universal constant times c. It is shown that a random protocol of a certain length has this property, and an explicit construction is given as well.<<ETX>>\",\"PeriodicalId\":271949,\"journal\":{\"name\":\"Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-10-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"60\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FSCS.1990.89523\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSCS.1990.89523","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Coin-flipping games immune against linear-sized coalitions
It is proved that for every c<1 there are perfect-information coin-flipping and leader-election games on n players in which no coalition of cn players can influence the outcome with probability greater than some universal constant times c. It is shown that a random protocol of a certain length has this property, and an explicit construction is given as well.<>