Complexity International       /vol12/msid62/ © Copyright 2008     
Volume 12 Received: 
Accepted: 
November 2004
December 2004



Cellular automaton approach for the group size distribution of agents on a Newton-like potential field

Jae Kyun Shin, Sung Ryul Choi

Abstract
     An agent based model for the formation of groups has been proposed. Each of the agents occupies a cell on a square lattice of size LxL. Each cell is defined to have a Newton-like potential depending on the distribution of the agents in the system. Agents seek to move to a cell of lower potentials. Actual move happens when the potential difference is greater than the friction work. The group is defined in a natural sense and the size distribution is analyzed as the system evolves. The proposed model depends on two of the main parameters, the density of the population and the friction factor. Two modes of group formations are identified. The 'black-hole' phenomena happened for relatively small values of friction and larger values of population density. Also distributed groups showed the well known power-laws. The proposed model is expected to be used as a tool for studying the emergent properties of the group size distributions widely found in natural and human systems.


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Jae Kyun Shin, Sung Ryul Choi 2008, Cellular automaton approach for the group size distribution of agents on a Newton-like potential field, Complexity International, Volume 12, Paper ID: msid62, URL: http://www.complexity.org.au/vol12/msid62/
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