论文标题
无浮力游戏
The No-Flippancy Game
论文作者
论文摘要
我们与两个玩家分析了基于硬币的游戏，在开始游戏之前，每个玩家选择一串由硬币投掷的长度$ n $。他们交替转弯，根据特定规则选择硬币折腾的结果。结果，游戏是确定性的。弦乐首先获胜的播放器。如果没有发生任何玩家的字符串，那么游戏必须是无限的。 我们研究了该游戏的几个方面。我们表明，如果在$ 4n-4 $ thew之后，游戏未能停止，则必须是无限的。此外，我们研究玩家如何选择其弦以迫使所需的结果。最后，我们描述了特定情况下游戏的结果。
We analyze a coin-based game with two players where, before starting the game, each player selects a string of length $n$ comprised of coin tosses. They alternate turns, choosing the outcome of a coin toss according to specific rules. As a result, the game is deterministic. The player whose string appears first wins. If neither player's string occurs, then the game must be infinite. We study several aspects of this game. We show that if, after $4n-4$ turns, the game fails to cease, it must be infinite. Furthermore, we examine how a player may select their string to force a desired outcome. Finally, we describe the result of the game for particular cases.
