Economy – Quantitative Finance – Trading and Market Microstructure
Scientific paper
2008-04-25
Phys. Rev. E78, 046106 (2008)
Economy
Quantitative Finance
Trading and Market Microstructure
7 figures
Scientific paper
10.1103/PhysRevE.78.046106
Multi-agent models have been used in many contexts to study generic collective behavior. Similarly, complex networks have become very popular because of the diversity of growth rules giving rise to scale-free behavior. Here we study adaptive networks where the agents trade ``wealth'' when they are linked together while links can appear and disappear according to the wealth of the corresponding agents; thus the agents influence the network dynamics and vice-versa. Our framework generalizes a multi-agent model of Bouchand and Mezard, and leads to a steady state with fluctuating connectivities. The system spontaneously self-organizes into a critical state where the wealth distribution has a fat tail and the network is scale-free; in addition, network heterogeneities lead to enhanced wealth condensation.
Burda Zdzislaw
Krzywicki Andre
Martin Olivier C.
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