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Socioeconomic networks with long-range interactions.
1Centre for Advanced Spatial Analysis, University College London, 1-19 Torrington Place, London WC1E 6BT, United Kingdom. rui@ruicarvalho.org
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 4, 2008
Summary
This study modified a socioeconomic network model, showing that increasing network connectivity (delta) shifts structures from power-law to exponential. Power-law networks yield higher average utility, explaining their real-world prevalence.
Area of Science:
- Socioeconomic modeling
- Network science
- Agent-based modeling
Background:
- Socioeconomic networks facilitate information and goods exchange.
- Previous models, like Jackson and Wolinsky's, explored these dynamics.
- Node utility is influenced by accessible nodes and distance-weighted contributions.
Purpose of the Study:
- To investigate network evolution and structure-utility relationships.
- To analyze how network properties change with increasing connectivity (delta).
- To compare the average utility across different network structures.
Main Methods:
- Modified Jackson and Wolinsky socioeconomic network model.
- Introduced a utility-based preferential attachment growth mechanism.
- Analyzed network evolution by varying the distance-decay parameter (delta).
- Compared average utility in power-law versus Poisson random networks.
Main Results:
- Increasing delta transforms network structure from power-law to exponential degree distribution.
- Intermediate delta values yield shorter average path lengths and higher central point dominance.
- Power-law networks demonstrate higher average utility compared to Poisson random networks.
Conclusions:
- Network structure significantly impacts average utility within socioeconomic systems.
- Scale-free (power-law) networks may be prevalent due to their efficiency in utility distribution.
- The model provides a mechanism for understanding the emergence and benefits of scale-free networks.
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