A TWO-PLAYER GAME OF LIFE

Mark Levene () and George Roussos ()
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Mark Levene: School of Computer Science and Information Systems, Birkbeck College, University of London, London WC1E 7HX, United Kingdom
George Roussos: School of Computer Science and Information Systems, Birkbeck College, University of London, London WC1E 7HX, United Kingdom

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 02, 195-201

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, using simulation, that the asymptotic density of p2life approaches 0.0362.

Keywords: Two-player game of life; cellular automata; mean-field theory; asymptotic density (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004346

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