强布局对策的对策值

摘要：

强布局博弈（如Domestic）的合法位置形成一个单纯复形，称为合法复形。在本文中，我们使用法律复杂性研究的游戏价值采取的强放置游戏类使用法律复杂性。我们表明，许多有趣的值是可能的，包括所有的数字和nimbers。我们进一步考虑法律复合体的结构如何影响哪些价值是可能的。

英文摘要：

The legal positions of a strong placement game, such as Domineering, form a simplicial complex called the legal complex. In this paper, we use the legal complex to study the game values taken on by the class of strong placement games using the legal complex. We show that many interesting values are possible, including all numbers and nimbers. We further consider how structures of the legal complex influence which values are possible.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。