2009/09/22 by Abhijit Chakraborty, S. S. Manna · 21 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Artificial intelligence #Bipartite graph #Combinatorics #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Complex network #Computer science #Degree (music) #Degree distribution #Distribution (mathematics) #Econometrics #Heavy-tailed distribution #Mathematics #Opinion Dynamics and Social Influence #Pareto distribution #Pareto principle #Physics #Scale (ratio) #Scaling #Selection (genetic algorithm) #Statistical physics #Statistics #q-fin.GN
paper · pdf · doi:10.1103/physreve.81.016111
published in Physical Review E 81(1), 016111 (American Physical Society) · 8 pages, 7 figures
arxiv created 2009/09/22 · openalex publication_date 2010/01/26 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the preferential selection rule using a pair of continuously tunable parameters. The bipartite trading defines a growing trade network of traders linked by their mutual trade relationships. With the preferential selection rule this network appears to be highly heterogeneous characterized by the scale-free nodal degree and the link weight distributions and presents signatures of nontrivial strength-degree correlations. With detailed numerical simulations and using finite-size scaling analysis we present evidence that the associated critical exponents are continuous functions of the tuning parameters. However the wealth distribution has been observed to follow the well-known Pareto law robustly for all positive values of the tuning parameters.