10 citations · 36 across the 43 of their papers we have counts for
6 papers · 1 filter
When game comparison becomes play: Absolutely Categorical Game Theory
Urban Larsson, Richard J. Nowakowski, Carlos P. Santos
Absolute Universes of combinatorial games, as defined in a recent paper by the same authors, include many standard short normal- misère- and scoring-play monoids. In this note we s…
A misère play -operator
Matthieu Dufour, Silvia Heubach, Urban Larsson
We study the -operator (Larsson et al. 2011) of impartial vector subtraction games (Golomb 1965). Here we extend the notion to the misère-play convention, and prove converge…
Eternal Picaria
Urban Larsson, Israel Rocha
Picaria is a traditional board game, played by the Zuni tribe of the American Southwest and other parts of the world, such as a rural Southwest region in Sweden. It is related to t…
Hopeful windows and fractals in cellular automata and combinatorial games
Urban Larsson
This paper studies 2-player impartial combinatorial games, where the outcomes correspond to updates of cellular automata (CA) which generalize Wolfram's elementary rule 60 and rule…
Absolute Combinatorial Game Theory
Urban Larsson, Richard J. Nowakowski, Carlos P. Santos
We propose a unifying additive theory for standard conventions in Combinatorial Game Theory, including normal-, misère- and scoring-play, studied by Berlekamp, Conway, Dorbec, Etti…
Chromatic Nim finds a game for your solution
Michael Fisher, Urban Larsson
We play a variation of Nim on stacks of tokens. Take your favorite increasing sequence of positive integers and color the tokens according to the following rule. Each token on a le…