Scientific article

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

Published inJournal of Cellular Automata, vol. 12, no. 5, p. 361-380
Publication date2017

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.

  • Complex system
  • Multilayer cellular automata on a graph
  • Complex network
  • Strongly connected components
  • Economical model
NoteArticle accepté en 2012 mais publié seulement en 2017
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.
Main files (1)
Article (Accepted version)
  • PID : unige:97525
  • DBLP : journals/jca/RazakanirinaC17
ISSN of the journal1557-5969

Technical informations

Creation10/03/2017 12:01:00 PM
First validation10/03/2017 12:01:00 PM
Update time03/15/2023 2:06:59 AM
Status update03/15/2023 2:06:59 AM
Last indexation08/30/2023 3:41:10 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack