Anomaly, class division, and decoupling in income dynamics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911676392013824 |
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| author | Hur, Jaeseok Ha, Meesoon Jeong, Hawoong |
| author_facet | Hur, Jaeseok Ha, Meesoon Jeong, Hawoong |
| contents | Economic inequality emerges from the interplay between regional growth-rate differences and the interaction network that couples regions. We propose a minimal income-dynamics model, where heterogeneity is governed by growth-rate assortativity $\mathcal{A}$ and regional concentration $\mathcal{R}$, allowing us to quantify the spatiotemporal patterns of empirically observed log-income distributions. To systematically analyze these patterns, we derive closed-form approximations for the Hellinger distance and the Gini index in limiting configurations. Our findings highlight the spatial segregation of growth rates as a key driver of economic class division and demonstrate how small-world shortcuts in the underlying network can disrupt this segregation. Finally, our framework provides a robust explanation for the bimodality and strong regional correlations found in global income distributions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_08175 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anomaly, class division, and decoupling in income dynamics Hur, Jaeseok Ha, Meesoon Jeong, Hawoong Statistical Mechanics Physics and Society Economic inequality emerges from the interplay between regional growth-rate differences and the interaction network that couples regions. We propose a minimal income-dynamics model, where heterogeneity is governed by growth-rate assortativity $\mathcal{A}$ and regional concentration $\mathcal{R}$, allowing us to quantify the spatiotemporal patterns of empirically observed log-income distributions. To systematically analyze these patterns, we derive closed-form approximations for the Hellinger distance and the Gini index in limiting configurations. Our findings highlight the spatial segregation of growth rates as a key driver of economic class division and demonstrate how small-world shortcuts in the underlying network can disrupt this segregation. Finally, our framework provides a robust explanation for the bimodality and strong regional correlations found in global income distributions. |
| title | Anomaly, class division, and decoupling in income dynamics |
| topic | Statistical Mechanics Physics and Society |
| url | https://arxiv.org/abs/2506.08175 |