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Scientific article
English

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

Contributors

Razakanirina, Ranaivo Mahaleo; Chopard, Bastien

Published in

Journal of Cellular Automata, vol. 12, no. 5, p. 361-380

Publication date

2017

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 system
  • Multilayer cellular automata on a graph
  • Complex network
  • Strongly connected components
  • Economical model

Note

Article accepté en 2012 mais publié seulement en 2017

UNIGE affiliation entities

UNIGE research groups

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)

Identifiers

  • PID : unige:97525
  • DBLP : journals/jca/RazakanirinaC17

Additional URL for this publication

http://www.oldcitypublishing.com/journals/jca-home/jca-issue-contents/jca-volume-12-number-5-2017/jca-12-5-p-361-380/

Journal ISSN

1557-5969
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Technical informations

Creation

03/10/2017 12:01:00

First validation

03/10/2017 12:01:00

Update

15/03/2023 02:06:59

Status update

15/03/2023 02:06:59

Last indexation

31/10/2024 08:01:39
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