UNIGE document Scientific Article
previous document  unige:97525  next document
add to browser collection
Title

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

Authors
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
Full text
Structures
Research group Scientific and Parallel Computing
Citation
(ISO format)
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

10 hits

0 download

Update

Deposited on : 2017-10-10

Export document
Format :
Citation style :