Two-player Domino games - Laboratoire Interdisciplinaire des Sciences du Numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Two-player Domino games


We introduce a 2-player game played on an infinite grid, initially empty, where each player in turn chooses a vertex and colours it. The first player aims to create some pattern from a target set, while the second player aims to prevent it. We study the problem of deciding which player wins, and prove that it is undecidable. We also consider a variant where the turn order is not alternating but given by a balanced word, and we characterise the decidable and undecidable cases.
Fichier principal
Vignette du fichier
Domino.pdf (521.93 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
licence : CC BY - Attribution

Dates and versions

hal-04265421 , version 1 (30-10-2023)


  • HAL Id : hal-04265421 , version 1


Benjamin Hellouin de Menibus, Rémi Pallen. Two-player Domino games. 2023. ⟨hal-04265421⟩
26 View
3 Download


Gmail Facebook X LinkedIn More