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Multilayer Cellular Automata on a Graph Applied to the Exchanges of Cash and Goods

Published in Journal of Cellular Automata. 2017, vol. 12, no. 5, p. 361-380
Abstract This paper investigates the behaviors and the properties of a "Give and Take" model using multilayer cellular automaton on a graph. Using an economical metaphor, this model implements the exchange of cash against goods, among the nodes of a graph G, with a local pricing mechanism. During the time evolution of this model, the strongly connected components (SCC) emerge, mimicking the creation of independent sub-markets. In the steady state, each SCC is characterized by a unique price obeying the supply and demand law for that sub-market. We also show that the distributions of cash and goods are proportional to the indegree of the cells, reproducing a Zipf's law of wealth distribution in case of a scale-free graph topology.
Keywords Complex systemMultilayer cellular automata on a graphComplex networkStrongly connected componentsEconomical model
Note Article accepté en 2012 mais publié seulement en 2017
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Research group Scientific and Parallel Computing
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RAZAKANIRINA, Ranaivo Mahaleo, CHOPARD, Bastien. Multilayer Cellular Automata on a Graph Applied to the Exchanges of Cash and Goods. In: Journal of Cellular Automata, 2017, vol. 12, n° 5, p. 361-380. https://archive-ouverte.unige.ch/unige:97525

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Deposited on : 2017-10-10

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