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

Koki Suetsugu

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arXiv · 2404.00632

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

Koki Suetsugu

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Abstract

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.

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Koki Suetsugu. 2024-03-31. What happens when we add impartial loopy games and impartial entailing games?. https://arxiv.org/abs/2404.00632

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