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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.