Complexity Insights
VOL. I  ·  APR 2026
FIG. 01  ·  STOCHASTIC NETWORK
FORCE-DIRECTED · HOVER TO PERTURB
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A Research Practice Markets aren't in equilibrium. Your models shouldn't pretend they are.
PracticeComplexity Econ.
MethodsABM · Network · Non-linear
ToolkitPython · Mesa · NetworkX
Case studies4 · 2 live
Writing1 essay · 1 note
Status● accepting work
01Thesis

The standard model assumes a world that doesn't exist. Real economies are networks of adapting agents.

Equilibrium economics answers the wrong question. It asks what price clears the market when everyone is rational, identical, and finished adjusting. That is a useful cartoon for a seminar, and a dangerous one for a trading floor or a supply chain.

The alternative is not to abandon rigor — it is to model behavior that is genuinely adaptive. Traders who learn. Firms that imitate. Shocks that propagate through network topology rather than dissipating smoothly across representative agents. The methods are now mature: agent-based models, calibrated networks, non-linear stochastic dynamics. The bottleneck is practitioners who can translate between the research and a real business problem.

That is the practice.

02Practice

Four problems worth modeling properly.

i.

Market simulation & strategy

Stress-test pricing, launch strategy, or trading rules against synthetic populations of heterogeneous agents before committing capital. Finds the failure modes averages can't see.

Agent-basedMonte CarloCalibration
ii.

Supply-chain & exposure networks

Map the graph — who actually depends on whom, two and three hops deep. Identify nodes whose failure triggers cascades disproportionate to their size or spend.

Network scienceCentralityPercolation
iii.

Systemic & tail-risk indicators

Conventional VaR underestimates regime change. Complexity-based indicators — correlation structure, critical slowing-down — give early warning of phase transitions conventional models miss by construction.

Non-linear dynamicsCorrelation structureEarly warning
iv.

M&A & integration analysis

Apply network theory to deal sourcing, synergy modeling, and post-merger integration risk. Synergies live in the graph of who-talks-to-whom; so do the integration failures.

Graph analysisSynergy modelingIntegration risk
03The Lab

A live agent-based market. Fundamentalists, chartists, noise.

A working toy of the Santa Fe Artificial Stock Market. Three populations of traders interact: fundamentalists pull price toward a latent value, chartists chase the trend, noise traders add liquidity and randomness.

Raise the chartist fraction — watch bubbles, crashes, and fat tails emerge from the same rule-set that used to converge quietly.

NO EQUILIBRIUM ASSUMED.
NO REPRESENTATIVE AGENT.

ABM · Price Formation
N = 200 AGENTS · Δt = 1 TICK
px100.00  +0.00
Price pt Fundamental vt Series shows last 400 ticks · hover chart to pause
04Writing & research

Working papers, notes, and case studies.

№ 001
Network analysis
S&P 500 correlation breakdown Mapping the erosion of diversification during the 2022 volatility regime.
CORR
LIVE →
№ 002
Agent-based model
Liquidity spirals in thin markets Simulating how algorithmic strategies amplify flash-crash dynamics.
LIQ
Q2 2026
№ 003
Research note
The end of equilibrium Why static models are costing businesses millions in unhedged tail risk.
EQM
LIVE →
№ 004
Applied research
Banking deserts Spatial and network analysis of financial-access gaps.
BNK
LIVE →
05About

Who runs this.

PORTRAIT · 4:5

Nicholas Thomas works at the intersection of network science, agent-based modeling, and applied finance.

The practice was founded on a simple wager: that the methods of complexity economics — agent-based simulation, network analysis, non-linear dynamics — are ready to leave the journals and solve real business problems. Most organizations still rely on models built on equilibrium assumptions they would never use to run the rest of their operations.

Current work spans correlation-structure analysis for equity portfolios, network models of supply-chain and financial exposure, and agent-based simulations of market microstructure. All output is Python-native, reproducible, and versioned publicly where possible.

Training
Economics
Recent graduate
Toolkit
Python · NetworkX
Mesa · NumPy
Available for
Full-time roles
Contract engagements
Questions, problems, or potential collaborations — write.
— Nicholas Thomas Founder · Complexity Insights
Get in touch

The best problems come in through the front door.

If you have an interesting question — inside a firm, a research group, or a hiring pipeline — the fastest path is a direct note. Short is fine.

© 2026 Complexity Insights · Nicholas Thomas · Washington, D.C. Set in Source Serif 4, Inter & JetBrains Mono