A Two-Player Game of Life
Mark Levene, George Roussos

TL;DR
This paper introduces p2life, a two-player extension of Conway's game of life with competitive tokens, providing a mean-field solution and simulation results showing a low asymptotic density.
Contribution
It presents a novel two-player version of the game of life with competitive rules, including analytical and simulation analysis of its behavior.
Findings
Mean-field equation solved for p2life
Asymptotic density approaches 0.0362
Simulation confirms theoretical predictions
Abstract
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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