2024/03/31 by Koki Suetsugu, Suetsugu, Koki · 1 citation
Computer Science · Psychology · Social Sciences · #Artificial Intelligence in Games #Educational Games and Gamification #Digital Games and Media
paper · pdf · doi:10.48550/arxiv.2404.00632
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.