Sum Game

  Difficulty: Intermediate   Keywords: Theory

In Combinatorial Game Theory, the sum of two games

 G = {GL, ...| GR, ...}
 H = {HL, ...| HR, ...}

is defined as

 G + H = {GL+H, ..., G+HL, ... | GR+H, ..., G+HR, ...}

If G and H are numbers, this is the natural addition of numbers.


In Go, the sum corresponds to two independent local situations (or boards) treated together.



See also

Difference game

Method of multiples


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