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- W4295392387 abstract "Several different hat games have recently received a fair amount of attention. Typically, in a hat game, one or more players are required to correctly guess their hat colour when given some information about other players' hat colours. Some versions of these games have been motivated by research in complexity theory and have ties to well-known research problems in coding theory, and some variations have led to interesting new research. In this paper, we review Ebert's Hat Game, which garnered a considerable amount of publicity in the late 90's and early 00's, and the Hats-on-a-line Game. Then we introduce a new hat game which is a hybrid of these two games and provide an optimal strategy for playing the new game. The optimal strategy is quite simple, but the proof involves an interesting combinatorial argument." @default.
- W4295392387 created "2022-09-13" @default.
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- W4295392387 date "2010-01-21" @default.
- W4295392387 modified "2023-09-30" @default.
- W4295392387 title "Yet Another Hat Game" @default.
- W4295392387 doi "https://doi.org/10.48550/arxiv.1001.3850" @default.
- W4295392387 hasPublicationYear "2010" @default.
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