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

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.

Artificial Intelligence in Games Educational Games and Gamification Digital Games and Media

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