Article (Scientific journals)
Dynamic peer-to-peer competition
Caram, L. F.; Caiafa, C. F.; Proto, A. N. et al.
2010In Physica A. Statistical Mechanics and its Applications, 389 (13), p. 2628-2636
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Abstract :
[en] The dynamic behavior of a multiagent system in which the agent size si is variable it is studied along a Lotka-Volterra approach. The agent size has hereby the meaning of the fraction of a given market that an agent is able to capture (market share). A Lotka-Volterra system of equations for prey-predator problems is considered, the competition factor being related to the difference in size between the agents in a one-on-one competition. This mechanism introduces a natural self-organized dynamic competition among agents. In the competition factor, a parameter sigma is introduced for scaling the intensity of agent size similarity, which varies in each iteration cycle. The fixed points of this system are analytically found and their stability analyzed for small systems (with n = 5 agents). We have found that different scenarios are possible, from chaotic to non-chaotic motion with cluster formation as function of the a parameter and depending on the initial conditions imposed to the system. The present contribution aim is to show how a realistic though minimalist nonlinear dynamics model can be used to describe the market competition (companies, brokers, decision makers) among other opinion maker communities. (C) 2010 Elsevier B.V. All rights reserved.
Disciplines :
International economics
Physics
Author, co-author :
Caram, L. F.
Caiafa, C. F.
Proto, A. N.
Ausloos, Marcel ;  Université de Liège - ULiège > Département de physique > Département de physique
Language :
English
Title :
Dynamic peer-to-peer competition
Publication date :
2010
Journal title :
Physica A. Statistical Mechanics and its Applications
ISSN :
0378-4371
eISSN :
1873-2119
Publisher :
Elsevier Science, Amsterdam, Netherlands
Volume :
389
Issue :
13
Pages :
2628-2636
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 25 September 2012

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