Yet another hat game
The electronic journal of combinatorics, Tome 17 (2010)
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.
DOI :
10.37236/358
Classification :
91A46, 91A12
Mots-clés : Ebert's hat game, hats-on-a-line game, optimal strategy
Mots-clés : Ebert's hat game, hats-on-a-line game, optimal strategy
@article{10_37236_358,
author = {Maura B. Paterson and Douglas R. Stinson},
title = {Yet another hat game},
journal = {The electronic journal of combinatorics},
year = {2010},
volume = {17},
doi = {10.37236/358},
zbl = {1192.91062},
url = {http://geodesic.mathdoc.fr/articles/10.37236/358/}
}
Maura B. Paterson; Douglas R. Stinson. Yet another hat game. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/358
Cité par Sources :