arXiv:2403.13855math.CO
A Non-Terminating Game of Beggar-My-Neighbor
Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.
Abstract
We demonstrate the existence of a non-terminating game of Beggar-My-Neighbor, discovered by lead author Brayden Casella. We detail the method for constructing this game and identify a cyclical structure of 62 tricks that is reached by 30 distinct starting hands. We further present a short history of the search for this solution since the problem was posed, and a record of previously found longest terminating games. The existence of this non-terminating game provides a solution to a long-standing question which John H. Conway called an `anti-Hilbert problem.'
"Pointless" because it's trying to solve/make progress on "beggar-my-neighbor" which Conway called an anti-Hilbert problem [0]? Looks like infinite games have been found for Beggar my Neighbor [1] [2]. [0] https://en.wikipedia.org/wiki/Beggar-my-neighbour#Game_theor... [1]…
abetuskView on HNParent context