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Small-World Effects in Wealth Distribution

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arxiv cond-mat/0108482 v1 pith:E7WRYHRP submitted 2001-08-29 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords wealthdistributionsdistributionlinksclusteringlog-normalnetworksobey
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We construct a model of wealth distribution, based on an interactive multiplicative stochastic process on static complex networks. Through numerical simulations we show that a decrease in the number of links discourages equality in wealth distribution, while the rewiring of links in small-world networks encourages it. Inequal distributions obey log-normal distributions, which are produced by wealth clustering. The rewiring of links breaks the wealth clustering and makes wealth obey the mean field type (power law) distributions. A mechanism that explains the appearance of log-normal distributions with a power law tail is proposed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Role of volatility mixing in wealth condensation transition

    cond-mat.stat-mech 2026-04 unverdicted novelty 6.0 of 10

    Volatility mixing in a networked wealth model neutralizes group-wise exponents and lowers the aggregate tail exponent, enabling a condensation transition across γ_c=2.

  2. Role of volatility mixing in wealth condensation transition

    cond-mat.stat-mech 2026-04 conditional novelty 6.0 of 10

    Volatility mixing on sparse networks neutralizes group-wise wealth-tail exponents and can drive the Bouchaud–Mézard model across the condensation threshold γc=2.

  3. Anomaly, class division, and decoupling in income dynamics

    cond-mat.stat-mech 2025-06 unverdicted novelty 5.0 of 10

    A minimal model with growth-rate assortativity A and regional concentration R explains bimodality and regional correlations in global income distributions via spatial segregation of growth rates.

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