05 · Quantitative research · 2026

Testing connection, centrality, and concentration.

Wealth concentration is often described person by person. I integrated six public datasets into one graph, then tested whether net worth was associated with structural position inside that network.

Role
Independent researcher
Methods
Regression, centrality, Louvain, power law
Tools
Python, NetworkX, public data
Graph
316 nodes · 6,515 edges
Wealth network with Louvain communities

Question

Is wealth tied to network position?

Forbes lists, ownership records, institutional filings, and offshore data each describe one slice of wealth. Joining them made structural relationships visible and testable.

Hypothesis: nodes with greater network centrality will have higher net worth. Secondary questions covered degree distribution, community structure, and the friendship paradox.

Method

Build graph, test structure, inspect sensitivity.

  1. Joined six public sources: Forbes current and historical lists, S&P 500 constituents, SEC 13F filings, ICIJ offshore records, and Crunchbase.
  2. Standardized entity names and created billionaire, company, institution, and relationship nodes.
  3. Measured degree, betweenness, eigenvector centrality, and PageRank.
  4. Compared power-law fit with lognormal and exponential alternatives.
  5. Ran Spearman association and regression between net worth and network measures.
  6. Detected communities with Louvain and tested neighborhood-degree patterns.

Results

Centrality tracked wealth strongly.

ρ .81degree vs net worth · p<.001
11Louvain communities
.147network modularity
1.8×friendship paradox ratio
2.95power-law alpha
6public datasets integrated

Degree showed a strong monotonic relationship with net worth; other centrality measures were also significant. Community structure suggested dense, interconnected clusters rather than isolated wealth holders.

Limitation: Public data contains coverage, recency, entity-resolution, and survivorship bias. Network association does not establish that centrality causes wealth.

Artifacts

Show model, not only headline.

Scatterplot of wealth and network centrality
Wealth versus centrality
Degree distribution plot
Degree-distribution model comparison
Community composition chart
Composition of detected communities
Friendship paradox analysis chart
Neighborhood connectivity comparison