A Two-Player Game of Life

Details A Two-Player Game of Life A Two-Player Game of Life

2002-07-29

arxiv.org/abs/cond-mat/0207679v4

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 3 figures

Scientific paper

10.1142/S0129183103004346

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
by simulation that the asymptotic density of p2life approaches 0.0362.

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