As in most games in combinatorial game theory, the first player who cannot move loses.

Analysis of "pure" abstract strategy games is the subject of combinatorial game theory.

Games like nim also admit of a rigorous analysis using combinatorial game theory.

His varied research interests include combinatorics and combinatorial game theory.

In combinatorial game theory, Kayles is a simple impartial game.

In combinatorial game theory, the zero game is the game where neither player has any legal options.

Nim is a simple game used for examples in combinatorial game theory.

Down, written as , is a position in combinatorial game theory.

Several map-coloring games are studied in combinatorial game theory.

Within combinatorial game theory it is usually called the nim-sum, as will be done here.