Winning Ways for your Mathematical PlaysWinning Ways for your Mathematical Plays by Elwyn Berlekamp, John Conway, and Richard Guy is a compendium of information on mathematical games. It was first published in 1982 in two volumes, one focusing on Conway's game theory and surreal numbers, and the other concentrating on a number of specific games.
A republication of the work by A K Peters splits the content into four volumes.
Along with analysis of various extant games, and analysis of game theory in general, Winning Ways describes a number of new games, many of which are popular today. Examples of this type include Sprouts and Philosopher's Football. They also analyzed Dots and Boxes and a number of Nim variations.
See also Combinatorial game theory.