3 papers
math.CO2026
Ordinal Sums with Substitution of Impartial Games
Kengo Hashimoto
A combinatorial game is a two-player game without hidden information or chance elements. The disjunctive sum of games and is the game in which and are playe…
math.CO2025
Impartial Games with Activeness
Kengo Hashimoto
A combinatorial game is a two-player game without hidden information or chance elements. The main object of combinatorial game theory is to obtain the outcome, which player has a w…
math.CO2024
The Game Value of Sequential Compounds of Integers and Stars
Kengo Hashimoto
A combinatorial game is a two-player game without hidden information or chance elements. One of the major approaches to analyzing games in combinatorial game theory is to break dow…