Two-Player Domino Games

被引：0
|
作者：
de Menibus, Benjamin Hellouin [1 ]
Pallen, Remi [2 ]
机构：
[1] Univ Paris Saclay, Lab Interdisciplinaire Sci Numer, CNRS, F-91400 Orsay, France
[2] Univ Paris Saclay, ENS Paris Saclay, F-91190 Gif Sur Yvette, France
来源：
TWENTY YEARS OF THEORETICAL AND PRACTICAL SYNERGIES, CIE 2024 | 2024年 / 14773卷
关键词：
Game; Tiling; Pattern; Computability; Symbolic dynamics; Subshift; Tic-tac-toe;
D O I：
10.1007/978-3-031-64309-5_12
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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.
引用
收藏
页码：139 / 152
页数：14
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