4 papers
Cyclic impartial games with carry-on moves
Tomoaki Abuku, Alda Carvalho, Urban Larsson +3
In an impartial combinatorial game, both players have the same options in the game and all its subpositions. The classical Sprague-Grundy Theory was developed for short impartial g…
A brief conversation about subtraction games
Urban Larsson, Indrajit Saha
In this survey we revisit {\sc finite subtraction}, one-heap subtraction games on finite rulesets. The main purpose is to give a general overview of the development, and specifical…
Enforce and selective operators of combinatorial games
Tomoaki Abuku, Shun-ichi Kimura, Hironori Kiya +4
We consider an {\em enforce operator} on impartial rulesets similar to the Muller Twist and the comply/constrain operator of Smith and St\u anic\u a, 2002. Applied to the rulesets…
Infinitely many absolute universes
U. Larsson, R. J. Nowakowski, C. P. Santos
Absolute combinatorial game theory was recently developed as a unifying tool for constructive/local game comparison (Larsson et al. 2018). The theory concerns {\em parental univers…