Urban Larsson gave a cool talk at Integers 2011 about combinatorial games based on cellular automata . Unlike the Game of Life (which is an automata, but not a game in the "combinatorial" sense), Urban concocted actual two-player impartial rulesets based on Wolfram's rules 60 and 110. I'm not familiar with these, but I do think the two games are very interesting! The Rule 60 Game is a ruleset…
