When everything is connected, everything multiplies.

Every philosophical tradition that has tried to describe the world has eventually arrived at the same conclusion. Everything is connected. The Mehrhoff Research Program makes the observation operational. A multiplicative structure connects the micro, the macro, and the meta. How decisions form, how they cascade through systems, and how their patterns transfer between scales. Open access.

The assumption

The world is more multiplicative than the textbooks admit.

Eighty years of decision science assumed factors add together. Risk models, prudential frameworks, election models, and policy decompositions all inherit the assumption. The empirical record contradicts it everywhere it has been tested rigorously. The error sits in the structural form of the model itself.

01

The collector does not almost buy the painting.

Strong provenance. Right price. Available wall. No desire. The additive model predicts seventy-five per cent of a transaction. The buyer walks away.

02

The deal does not partly close.

Terms agreed. Diligence clean. Lawyers ready. CEO unconvinced. The additive model predicts seventy-five per cent of a transaction. The transaction is zero.

03

The fund does not mostly launch.

Strong thesis. Sound track record. Compliant structure. No anchor LP. The additive model predicts seventy-five per cent of a fundraise. Capital does not arrive.

04

The hire does not nearly happen.

Right role. Right compensation. Right team. Wrong fit. The additive model predicts seventy-five per cent of an acceptance. The candidate declines.

The empirical record

Six industries. One structural failure. Six preventable cascades.

Each case below was investigated and attributed to specific operational failures. The structural pattern beneath them is identical. Decision architectures were assessed as if their components added together. The actual cascades were multiplicative. The Mehrhoff Research Program names the one structural failure the cases share.

AEROSPACE AND DEFENCE

Boeing 737 MAX

2018 - 2019
346 lives lost · $20 bn in losses and groundings

A single angle-of-attack sensor was certified as a non-critical subsystem because each component was assessed on its own. Its interaction with MCAS automation, with crew training, and with cockpit workload was multiplicative. The FAA's delegated-authority process treated the four factors additively. One sensor at zero collapsed the architecture twice, within five months.

FINANCIAL SERVICES AND BANKING

Global Financial Crisis

2008
$22 trillion in US output · 8.7 million jobs lost

VaR and stress-testing frameworks summed risk factors across portfolios. The actual cascade was multiplicative across four factors. Housing collapse, subprime concentration, counterparty exposure, liquidity drain. Any single factor at zero would have stopped the chain. None reached zero. Prudential supervision under Basel III and Dodd-Frank remains predominantly additive in its core structural assumption.

Pharmaceutical and public health

US Opioid Crisis

1999 - ongoing
~ 806,000 lives lost · $1.5 trillion economic burden

FDA approval, pharmaceutical marketing, consulting engagements, prescribing patterns, and pharmacy distribution each judged their role as too small to matter on its own. The cascade was multiplicative across the chain. Each actor was a necessary factor in the architecture, not an optional one. The regulatory chain still assumes additive risk allocation across links.

ENERGY AND UTILITIES

Winter Storm Uri and the Texas Grid failure

2021
246 lives lost · $130 bn in damages

Winterisation, natural gas supply, generation reserves, and transmission capacity were each assessed as independent reliability layers. The cascade required all four to function during the storm. The failure of one zeroed out the others. Reliability engineering treats redundancy as additive layers; the empirical record demonstrates multiplicative single-point dependency.

Government and public sector

Healthcare.gov launch failure

2013
$840 m in overruns · 6 months of degraded service

Fifty-five contractors each delivered their subsystem to specification. The launch required every subsystem working simultaneously on day one for the marketplace to function. One unready piece zeroed out the rest. Federal procurement evaluates components additively. Mission-critical launches succeed only multiplicatively.

Technology and software

CrowdStrike Global Outage

2024
$5.4 bn in direct losses · 8.5 million machines disabled

Auto-update logic, sensor configuration validation, deployment gating, and customer staging were each reviewed in isolation. Failure required only one control point to fail for the cascade to propagate. SaaS security treats defence-in-depth as additive layers. The most expensive single IT outage in history was a multiplicative single-point cascade.

THE THESIS

A multiplicative logic, universally applicable.

Decisions multiply. When one factor goes to zero, the action collapses. The other factors cannot compensate. The same logic holds across human, agentic AI, and hybrid domains where they act together. The implication is large enough to reorganise behavioural economics, decision science, computer science, and the philosophy of mind around a single specification.

The additive consensus
Operator
Sum of weighted parts.
predicts
Roughly eighty per cent of an action when
three of four parts are at maximum.
Fits
Sample by sample, in averages.
Fails
Catastrophically, near zero-factor thresholds.
Examples
TRA · TPB · SCT · HBM · Expected Utility
· Prospect Theory
Predictively adequate in the middle of the distribution. Empirically silent at the points where decisions break.
the multiplicative reality
Operator
Multiplicative interaction of forces.
predicts
Zero when any single driver collapses, which
is the empirical answer.
Fits
Across domains, scales, and substrates.
Fails
Through the breaking points.
Examples
IADT (one decision) · UCT (how decisions cascade) · ISP (when patterns recur)
The structural form determines predictive validity. The same multiplicative logic observed at three magnifications.
THE THREE LAWS OF DECISION-MAKING

The Three Laws of Mehrhoff for the structural study of decisions.

Decision outcomes are governed by structural forces, not by stable attributes. The same multiplicative logic recurs at three scales and across domains.

IADT · the micro law

Integrated Action-Driver Theory

Action under complexity is determined by the dynamic interaction of four forces. The interaction itself is the mechanism. Additive models systematically under-perform because they cannot represent it.

UCT · the macro law

Unified Cascade Theory

How individual decisions aggregate into institutional outcomes through three sequential phases. Ignition. Polarisation. Institutionalisation.

ISP · the meta law

Identical Scale Principle

A criterion for when a structural pattern recurs across scales and domains. The pattern transfers only where structural identity holds.

the founder

Six frontiers. Seventeen years. Three Laws of Decision-Making.

Patrick Mehrhoff is a German entrepreneur, independent researcher, AI engineer, and author. He is the author of the three original theories that constitute the Mehrhoff Research Program. He built the work the studio carries.

Most practitioners spend a career inside one domain. He worked as a practitioner at six of the frontiers that redefined how society organises information, money, and value over the last two decades. The consumer internet, Swiss fintech, European monetary policy, Southeast Asian financial publishing, institutional crypto assets, and the first wave of applied AI.

The same structural observation appeared at every frontier. By 2019, on a whiteboard at crypto infrastructure provider Wyden in Zurich, the pattern had become visible to itself. It did not yet have a name. Four years before any AI language model became publicly available, the complete logic of the Three Laws of Decision-Making was already on the whiteboard.

The studio was built from Bangkok, without institutional affiliation and without external funding. The Rubens workshop model defines how it operates. The founder sets the intellectual direction at every decisive step. The tools and collaborators execute within it.

the scholary comparison

Fifteen capabilities. Nine scholars. Patrick Mehrhoff achieves full scientific coverage.

Tested against nine foundational scholars, three of them Nobel laureates, and across fifteen structural dimensions. Every cell is independently challengeable.

15 · Capability dimensions

Every dimension independently challengeable.

9 · Foundational scholars

Most frequently cited as predecessors.

3 · Nobel laureates

Among the nine scholars tested.

0% · Theoretical dependency

Confirmed across all nine scholars.

this is for everyone

One logic. Six doorways into it.

The three laws describe the same multiplicative reality that governs decisions across scales. What each audience recognises in them is different. Each doorway below opens into the same set of laws, framed for the way you are most likely to find your own work inside them.

For Researchers

You have been calling it a data problem.

The literature in your field has been reporting tail-failure for decades. Outliers, noise, model misspecification. The three laws name a different culprit. The structural form of the model itself. Read the laws and find the place where the assumption you never questioned has been doing the work all along.

For practiTioners

What you call the edge case is the rule.

Every senior decision-maker has watched a model work on average and break where the decision mattered. The three laws name what is happening. The breakage is not an edge case the model failed to anticipate. It is the multiplicative architecture finding its zero. Read the laws and the pattern beneath every model break of your career becomes legible at once.

for policy-makers

They are not different crises.

Each major institutional cascade of the past fifteen years was investigated as if it were unique. The reports document different operational failures in different sectors. The three laws read across the reports and recognise one structural pattern. Read the laws and the recurrence stops looking like coincidence.

For science enthusiasts

The connection you always sensed now has an explanation.

Every philosophical tradition that has tried to describe the world has eventually arrived at the same conclusion. The three laws turn the conclusion into a working structural explanation. Decisions form. They cascade. Their patterns transfer across scales. Read the laws the way our studio reads them.

For STUDENTS

A field whose first papers are still being written.

Most foundational research is finished before a student arrives. The three laws sit early enough in their life that the field around them is still to being created. A graduate student who reads them now enters a body of work inside its formative window. The reading path is curated for entry from any quantitative or social-science background.

FOR INSTITUTIONS

The missing link in your foundational training.

Universities train within additive frameworks. Journals review within them. Regulators write rules under them. Funders evaluate against them. The three laws name the structural assumption beneath the entire foundational layer. It has been invisible because no curriculum, no review, no framework has ever required it to be examined. Read the corpus and the link your institution has been operating without becomes legible.

the mehrhoff research program

The core. The first test.

The first program states the architecture and demonstrates the laws that govern it. The second tests those laws against the empirical record of human decision-making. Together they establish the studio's canonical core and its first empirical substantiation. Further programs are in active preparation.

The core

Foundational

The three laws at the micro, macro, and meta scales, derived and stated formally. Plus the empirical evidence that the multiplicative architecture holds across biological, artificial, and hybrid substrates. Every paper in every other program traces its structural claims back to this canonical core.

WHere people decide

Human decision-making

The laws tested against the empirical record from every sector, industry, and discipline where humans make decisions. From financial risk to clinical judgement to educational selection to electoral behaviour, the same multiplicative architecture governs the outcome. Every test in the program substantiates the structural finding the foundational program advanced.

provenance

The Whiteboard, 2019.

The first sketch of the Three Universal Laws. Drawn four years before any AI language model became publicly available.

Sketched at an office in Zurich. The board maps the direction of the markets, the forces driving them, the audiences they affected, the problems those audiences encountered, and the responses the market was developing. The structural logic that became the First, Second, and Third Laws is already on the board, in the language of practice.

THE Research and science studio

Independent by design.

Mehrhoff Research operates outside academia and outside industry. An independent science and research studio with no external funding, no board, and no university partnership. Founded 2019 in Zurich, domiciled in Tallinn, run from Bangkok.

The work is published open access. Every paper passes adversarial peer review before deposit. Every claim names the empirical conditions under which it would be falsified. Every citation traces to a primary source. The standard is not the institution. The standard is the work.

Working papers · 15

Deposited on Zenodo, permanently archived.

Data points · 130,000

Data points analysed across all empirical validations.

Research Programs · 2

Foundational and human decision-making.

Open access · 100%

No paywall, no journal embargo.

the philosophy

Where it goes. How it works. Who it answers to.

A horizon decades away. The daily practice of moving toward it. Seven principles the studio holds itself to, with or without anyone looking. Five codes the studio answers to when no external authority requires them. Each statement enforced internally. Each verifiable from outside.

Vision and Mission

The destination, and the work that gets there.

Vision and mission, stated directly. What the studio is working toward, and what it does today.

principles

Seven standards the studio holds in every paper.

Seven standards held against every paper, every conversation, every relationship the studio enters. Decision-making, rigour, independence, transparency, originality, curiosity, and courage.

governance

How the studio governs itself.

Self-regulated science. Published standards, open methods, full results regardless of what they show.

Correspondence

For invitations, inquiries, and conversations worth having.

Press, academic peers, conference organisers, policy bodies, industry practitioners, and readers reach the studio here.

Average response
Within 10 working days
Speaking lead time
8 to 12 weeks
Visiting positions
Open for 2026 and 2027
Press inquiries
Fast-tracked
speaking and lectures

What I come to do.

Six formats, from public keynote to closed doctoral seminar. The full range is welcome; the substance of the questions decides the invitation.

visiting and residency

Where I come to stay.

Four positions, from visiting researcher to fellowship, with two scheduled per calendar year. A residency produces sharper work than a single talk because the conversation extends.

press and licensing

What is already prepared.

Press kit with bios, headshots, and topic briefs is ready to download. Lectures, learning materials, and the architecture itself are licensable.