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Evolutionary Games in Natural, Social, and Virtual Worlds$
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Daniel Friedman and Barry Sinervo

Print publication date: 2016

Print ISBN-13: 9780199981151

Published to Oxford Scholarship Online: August 2016

DOI: 10.1093/acprof:oso/9780199981151.001.0001

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Cellular Automaton Games

Cellular Automaton Games

Chapter:
(p.155) 6 Cellular Automaton Games
Source:
Evolutionary Games in Natural, Social, and Virtual Worlds
Author(s):

Daniel Friedman

Barry Sinervo

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199981151.003.0006

This chapter formalizes spatial strategic interaction as games on grids. It develops cellular automata examples ranging from Conway’s classic Game of Life to complex cooperation, and revisits several earlier examples of assortative and disassortative interactions in an explicit spatial framework. The chapter features simulations of viscous game dynamics with emergent features such as cooperative groups in public goods games, including density and frequency dependent interactions. Two-population versions of the cellular automata are developed (e.g., for the buyer-seller game). Esherichia coli bacteria provide an example of a spatial rock-paper-scissors game: a colicin-producing/colicin-resistant type is beaten by a colicin-resistant type, which is beaten by an undefended type, which is beaten in turn by the first type.

Keywords:   cellular automaton, public goods games, emergent properties, cooperation, Escherichia coli, rock-paper-scissors

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