{"title":"无限的游戏与不确定的移动","authors":"Nicholas Asher, Soumya Paul","doi":"10.4204/EPTCS.112.7","DOIUrl":null,"url":null,"abstract":"We study infinite two-player games where one of the players is unsure about the set of moves available to the other player. In particular, the set of moves of the other player is a strict superset of what she assumes it to be. We explore what happens to sets in various levels of the Borel hierarchy under such a situation. We show that the sets at every alternate level of the hierarchy jump to the next higher level.","PeriodicalId":53035,"journal":{"name":"Hkhmt m`Sr","volume":"12 15","pages":"25-32"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Infinite games with uncertain moves\",\"authors\":\"Nicholas Asher, Soumya Paul\",\"doi\":\"10.4204/EPTCS.112.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study infinite two-player games where one of the players is unsure about the set of moves available to the other player. In particular, the set of moves of the other player is a strict superset of what she assumes it to be. We explore what happens to sets in various levels of the Borel hierarchy under such a situation. We show that the sets at every alternate level of the hierarchy jump to the next higher level.\",\"PeriodicalId\":53035,\"journal\":{\"name\":\"Hkhmt m`Sr\",\"volume\":\"12 15\",\"pages\":\"25-32\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Hkhmt m`Sr\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4204/EPTCS.112.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hkhmt m`Sr","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4204/EPTCS.112.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study infinite two-player games where one of the players is unsure about the set of moves available to the other player. In particular, the set of moves of the other player is a strict superset of what she assumes it to be. We explore what happens to sets in various levels of the Borel hierarchy under such a situation. We show that the sets at every alternate level of the hierarchy jump to the next higher level.
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