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Mental Models

Goodhart's Law

The Proxy and the Prize

Why we measure stand-ins at all, why a proxy is trustworthy only because of a correlation we didn't create, and how attaching stakes to the number is the exact act that breaks it.

12 min Updated Jul 10, 2026

The intro left us with a promise: every case of Goodhart’s Law begins with an innocent, sensible decision. Not a villain, not a con — just someone facing something they genuinely care about and can’t see directly, reaching for the next best thing they can see. That reach is where the whole story starts. So before we watch any number go bad, let’s slow down on the moment before it does: why we measure a stand-in at all, and what quietly holds it together.

Before you read — take a guess

Take a guess before we start. A hospital measures 'A&E four-hour wait time' as a stand-in for 'patient health'. Why is that a reasonable thing to measure — before anyone's judged on it?

Why we ever measure a proxy

Start with what you actually care about. Call it the goal (or target): the real outcome you’re after — a child who has learned, a patient who is healthier, a codebase that works, a scientist doing good science. Now notice the cruel thing these have in common: you cannot see any of them directly, cheaply, or in time to act. “Did this child learn?” is answered honestly only years later. “Is this patient healthier?” needs a doctor, a history, a follow-up. Goals are slow, fuzzy, and expensive to observe.

So you reach for a proxy: a cheap, fast, visible measurement that stands in for the goal. Test scores stand in for learning. A&E four-hour wait time stands in for system health. Reported incidents stand in for safety. Lines of code stand in for programmer output. Citation counts stand in for scientific merit. None of these is the goal — they’re windows onto it.

Info:

Two words, kept straight all course

The goal is what you truly want (learning, health, safety). The proxy is the measurable stand-in you actually track (scores, wait times, incident reports). Goodhart’s Law is entirely about the gap that can open between these two — so if you ever feel lost, ask: which one is this, the thing or the stand-in for the thing?

Worked example — health → the four-hour wait. England’s National Health Service wanted “A&E departments are serving patients well.” Unmeasurable in the moment. So they picked a proxy: the share of patients seen, treated, and admitted or discharged within four hours. Before anyone’s career depended on it, this was a genuinely good proxy. A hospital with enough staff, free beds, and a slick process moves people through in under four hours; a swamped, under-resourced one doesn’t. Measure the wait, and you’d learn something real about the health of the system. That’s the honest starting point — and, as we’ll see, honesty is exactly the thing that doesn’t last.

The pitfall to name here is the opposite of cynicism: don’t conclude “measuring is bad.” Refusing to measure means flying blind, which is worse. A proxy is a reasonable, often necessary tool. The problem is never that we chose to measure — it’s what happens next.

When a proxy is doing its job

A proxy earns its keep when it’s cheap to read, hard to fake, and moves in step with the goal for reasons you didn’t have to arrange. Right up until someone starts pushing on it, a good proxy is one of the most useful things you can have. The skill this course builds isn’t “stop using proxies” — it’s knowing the precise conditions under which one is still telling you the truth.

The correlation you borrowed but didn’t build

Here’s the load-bearing idea for the entire course, so read it twice. A proxy is trustworthy only because of a correlation you did not create and do not control. In the wild — before any stakes — better teaching causes higher scores; a healthier, better-run hospital causes shorter waits; safer operations cause fewer incidents. The proxy tracks the goal because, out in the world, the goal quietly drives the proxy.

That correlation is borrowed, not guaranteed. You didn’t wire scores to learning; the world did, as a side effect of how learning and tests happen to relate when nobody’s manipulating either. And a borrowed correlation holds under exactly one condition: nobody is optimising the proxy. The moment effort is aimed at the number itself rather than the goal beneath it, the link that made the number meaningful is the first thing to snap — because it was never a law of nature, just an incidental by-product you were leaning on.

Warning:

The sentence that carries the whole course

A proxy measures the goal only for as long as no one is trying to move the proxy. The correlation is a loan from a world where nobody’s gaming — and the loan is called in the instant you attach a stake.

Pin down why a proxy can be trusted at all.

Pick the right option for each blank, then check.

A is a cheap stand-in for the thing we truly want. We can trust it only because of a between the two that we did not create — and that link holds only while .

Attaching a stake: the fateful act

Everything so far has been calm. Now we do the one thing that turns a useful proxy into a trap: we attach a stake to it. A bonus for hitting the number. A league table that ranks you by it. Funding, promotion, or a headline that follows it. The size of that reward — how hard reality now presses on people to move the number — is what we’ll call optimisation pressure.

Info:

Optimisation pressure, defined

Optimisation pressure is the strength of the stakes riding on a proxy — the degree to which someone’s pay, rank, funding, reputation, or survival depends on the number going up. Zero pressure: the metric is just an observation. High pressure: the metric is the prize, and moving it is the job.

Watch what optimisation pressure does. The instant the number becomes the reward, the rational move is no longer to improve the goal — it’s to improve the proxy, by whatever route is cheapest. And gaming the proxy is almost always cheaper than achieving the goal. Teaching better is hard and slow; drilling last year’s exam paper is fast. Genuinely healthier operations take years; reclassifying a patient as “not yet officially waiting” takes a keystroke. So effort floods toward the proxy — and remember what the proxy’s value rested on: a borrowed correlation that only held while nobody was pushing. Pushing is precisely what we just started.

Here’s the punchline, and it’s the shape of every Goodhart disaster to come: you get the number without the substance. Scores rise while learning stalls. Waits “improve” while sick people queue in ambulances outside the door, uncounted. Incident reports fall not because work got safer but because reporting got punished. The proxy soars, the goal sags, and the two — once faithful companions — walk off in opposite directions.

DomainGoal (what we want)Proxy (what we measure)How the number is moved without the substance
SchoolsChildren who’ve learnedStandardised test scoresTeach the test, drill past papers, exclude weak pupils on test day
A&EHealthier, well-served patients% seen within four hoursHold patients in ambulances “off the clock”, reclassify the queue
SafetyFewer people actually hurtReported incidentsDiscourage or punish reporting so incidents “fall”
SoftwareWorking, valuable softwareLines of code writtenWrite bloated, verbose code that does little
ScienceGood, true scienceCitation countsSelf-cite, form citation rings, chase flashy over solid

Every row is the same skeleton in a different costume: a proxy that was honest in the wild, a stake bolted on, and effort rerouted from the goal to the gameable number.

Watch the correlation crumble

Reading about it is one thing; watching it happen is another. Below, every dot is a person being measured. Their real quality runs along the horizontal axis; the proxy score we judge them by runs up the vertical. At zero pressure, every dot sits neatly on the honest diagonal — the proxy equals reality, and the number tells the truth.

Now drag the optimisation-pressure slider up from 0 and watch three things at once: the measured score rockets (the number looks like a triumph), the real value sags (the thing you cared about is quietly getting worse), and the proxy ↔ reality correlation crumbles toward zero — and can even flip negative. That last part is the sting: when the correlation goes negative, your top scorers are your best gamers, not your best performers. The number hasn’t just stopped tracking the goal; it’s started pointing the wrong way.

Goodhart's law

Crank the stakes, break the measure

Each dot is a person being measured. Their real quality (horizontal) and the proxy we score them on (vertical) start out in step — every dot on the honest diagonal. Now raise the optimisation pressure and watch them game the number: the proxy climbs, real quality sinks, and the link between them dissolves.

050100050100True quality →Measured proxy →Honest measure

At 0% pressure the average measured score is 52 while real value is only 52. The correlation between the proxy and the thing it was meant to track is +0.98 — and 0% of everyone’s effort now goes into gaming the number, not doing the work. The measure has stopped measuring.

Measured score
52
Real value
52
Proxy ↔ reality
+0.98
Gaming effort
0%
No stakesCareer-defining
No dot ever improves its real quality by gaming — gaming only inflates the proxy and erodes the truth. The dots that fly highest are the keenest gamers, which is exactly why the correlation dies.

Notice why it happens in the model: each person has a hidden real quality and a completely separate gaming ability. At zero stakes, gaming ability is dormant and irrelevant — the proxy reads real quality. Add pressure, and the people who happen to be good gamers pull their scores up regardless of their real quality, while the effort spent gaming actively drags that real quality down. The borrowed correlation had no defence against this, because it was never built to survive someone optimising the number. It was a loan, and the slider is the world calling it in.

In the dial, as you raise optimisation pressure the proxy↔reality correlation falls and can go negative. What does a negative correlation mean in plain terms?

So when is a proxy safe?

If proxies break under pressure, is measuring hopeless? No — and this is the foreshadowing for the fixes lesson. A proxy stays honest under three conditions, and loses one of them at your peril:

  • Low stakes. The smaller the reward riding on the number, the less optimisation pressure, and the longer the borrowed correlation survives. A metric you merely watch is far safer than one you pay for.
  • Hard to game. If moving the proxy without moving the goal is expensive or impossible, gaming isn’t worth it and the link holds. Proxies die fastest when cheating them is cheaper than achieving the goal.
  • One of several cross-checks. A single proxy is a single point of failure. Watch several imperfect measures that are gamed in different ways, and gaming one tends to betray you on another — no single number becomes the whole prize.
Success:

The trap to remember

The deadliest mistake is treating a currently honest proxy as a permanently honest one. The four-hour wait was a fine measure — right up until it decided careers, at which point it started measuring how good managers were at reclassifying queues. A proxy’s honesty isn’t a fixed property of the metric; it’s a fragile state that lasts only while the stakes stay low, the number stays hard to game, and it isn’t standing alone. We’ll turn each of these into a concrete defence later.

So the map of this lesson is simple, and it’s the seed of everything ahead: we measure a proxy because the goal is invisible; we can trust the proxy only because of a correlation we borrowed from a world with no stakes; and the moment we attach a stake, optimisation pressure floods toward the number and snaps the very link that made it meaningful. Number up, substance down. That gap — soaring measure, sinking reality — is Goodhart’s Law, and now you can name every part of it.

Recap

Big picture

Proxy vs goal

  • The proxy and the prize
    • We measure a PROXY
      • The GOAL is invisible, slow, expensive
      • The proxy is cheap, fast, visible
    • Trust rests on a BORROWED correlation
      • The world wired proxy to goal, not you
      • It holds only while nobody optimises the proxy
    • Attaching a STAKE is the fateful act
      • Optimisation pressure = size of the stakes
      • Effort floods to the number, not the goal
      • You get the number without the substance
    • When is a proxy safe?
      • Low stakes, hard to game, cross-checked
      • Never mistake currently-honest for permanently-honest

Next we’ll open up the fateful act itself: how exactly the seams split under pressure — Campbell’s Law, and the four distinct flavours of Goodhart that decide which way your number betrays you.

Mark lesson as complete