Ice sliding games - Archive ouverte HAL Access content directly
Journal Articles International Journal of Game Theory Year : 2018

Ice sliding games

Abstract

This paper deals with sliding games, which are a variant of the better known pushpush game. On a given structure (grid, torus...), a robot can move in a specific set of directions, and stops when it hits a block or boundary of the structure. The objective is to place the minimum number of blocks such that the robot can visit all the possible positions of the structure. In particular, we give the exact value of this number when playing on a rectangular grid and a torus. Other variants of this game are also considered, by constraining the robot to stop on each case, or by replacing blocks by walls.
Fichier principal
Vignette du fichier
Iceslidinggame.pdf (452.75 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01170310 , version 1 (02-07-2015)

Identifiers

Cite

Paul Dorbec, Eric Duchêne, André Fabbri, Julien Moncel, Aline Parreau, et al.. Ice sliding games. International Journal of Game Theory, 2018, 47 (2), pp.487-508. ⟨10.1007/s00182-017-0607-5⟩. ⟨hal-01170310⟩
501 View
1852 Download

Altmetric

Share

Gmail Facebook X LinkedIn More