Generalized Three and Four Person Hat Game

Fuente: arXiv
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Autor principal: van Uem, Theo
Formato: Preprint
Publicado: 2017
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author van Uem, Theo
author_facet van Uem, Theo
contents This paper studies Ebert's hat problem for three and four players and two colors, where the probabilities of the colors may be different for each player. Our goal is to maximize the probability of winning the game and to describe winning strategies We use the concept of an adequate set. The construction of adequate sets is independent of underlying probabilities and we can use this fact in the analysis of our general case.
format Preprint
id arxiv_https___arxiv_org_abs_1704_04244
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle Generalized Three and Four Person Hat Game
van Uem, Theo
Combinatorics
Discrete Mathematics
Information Theory
This paper studies Ebert's hat problem for three and four players and two colors, where the probabilities of the colors may be different for each player. Our goal is to maximize the probability of winning the game and to describe winning strategies We use the concept of an adequate set. The construction of adequate sets is independent of underlying probabilities and we can use this fact in the analysis of our general case.
title Generalized Three and Four Person Hat Game
topic Combinatorics
Discrete Mathematics
Information Theory
url https://arxiv.org/abs/1704.04244