Abstract ( K , t ) -Wythoff is a restriction of classical t -Wythoff, where a player is restricted to remove a multiple of K tokens in each move ( K is a fixed positive integer). In this paper, we define a class of new games obtained from ( K , t ) -Wythoff by adjoining to it an appropriate subset of its P -generators as additional moves. For all these extended new games, the sets of their P -positions and the corresponding winning strategies are given. Meanwhile, the equivalences among these new games are analyzed, and the results show that only few special P -generators play a key role in the formation of the new games.

中文翻译：

---

组合博弈 (K,t)-Wythoff 的扩展

摘要 ( K , t ) -Wythoff 是经典 t -Wythoff 的限制，其中限制玩家在每次移动中移除 K 个标记的倍数（K 是固定的正整数）。在本文中，我们定义了一类从 ( K , t ) -Wythoff 获得的新博弈，方法是将其 P -生成器的适当子集作为附加移动与之相邻。对于所有这些扩展的新游戏，给出了它们的 P 位置集和相应的获胜策略。同时，对这些新博弈之间的等价性进行了分析，结果表明只有少数特殊的P-生成器在新博弈的形成中起关键作用。