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Preprints, Working Papers, ... Year : 2023

Two-player Domino games

Abstract

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.
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licence : CC BY - Attribution

Dates and versions

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

Identifiers

  • HAL Id : hal-04265421 , version 1

Cite

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