2 papers
math.LO2025
A General Theorem for Non-Simultaneous Hat Guessing Puzzles
Souji Shizuma
The prisoners and hats puzzle, or simply the hat puzzle, is a family of games in which a group of prisoners are each assigned a colored hat and are asked to guess the color of thei…
math.LO2019
Strategic equivalence among hat puzzles of various protocols with many colors
Masaru Kada, Souji Shizuma
We discuss ``puzzles of prisoners and hats`` with infinitely many prisoners and more than two hat colors. Assuming that the set of hat colors is equipped with a commutative group s…