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arXiv 2404.00632math.CO
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当我们把无偏循环博弈与无偏蕴含博弈相加时会发生什么?

What happens when we add impartial loopy games and impartial entailing games?

Koki Suetsugu

AI总结:

本文在Sprague-Grundy理论基础上,进一步研究无偏循环博弈与无偏蕴含博弈之和,揭示了循环局面与蕴含局面相加所呈现的部分代数结构。

摘要:

无偏博弈的析取和由Sprague-Grundy理论分析。早期结果已将该理论扩展到循环博弈和蕴含博弈。在本研究中,我们考虑该理论的进一步扩展,并展示循环局面与蕴含局面之和的部分代数结构。

英文摘要:

The disjunctive sum of impartial games is analyzed by Sprague-Grundy theory. The theory has been extended to loopy games and entailing games by early results. In this study, we consider further extension of this theory and show partial algebraic structure of the sum of loopy positions and entailing positions.

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。

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