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A Two-Player Game of Life

We present a new extension of Conway's game of life for two players, which we call "p2life". P2life allows one of two types of token, black or white, to inhabit a cell and adds competitive elements into the birth and survival rules of the original game. We solve the mean-field equation for p2life and determine, using simulation, that the asymptotic density of p2life approaches 0.0362.