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Goodhart's law

Adage about statistical measures

  • 4 min read
  • 3 chapters

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Through Monetary policy, Economics and Extinction

Any observed statistical regularity will tend to collapse once pressure is placed upon it for control purposes.

Priority and background

Numerous concepts are related to this idea, at least one of which predates Goodhart's statement. Notably, Campbell's law likely has precedence, as Jeff Rodamar has argued, since various formulations date to 1969. Other academics had similar insights at the time. Jerome Ravetz's 1971 book Scientific Knowledge and Its Social Problems also predates Goodhart, though it does not formulate the same law. Ravetz discusses how systems in general can be gamed, focusing on cases where the goals of a task are complex, sophisticated, or subtle. In such cases, the skilled person executing the tasks properly wants to meet their own goals to the detriment of the assigned tasks. When the goals are instantiated as metrics, this could be seen as equivalent to Goodhart and Campbell's claim.

Shortly after Goodhart's publication, others suggested closely related ideas, including the Lucas critique (1976). As applied in economics, the law is also implicit in the idea of rational expectations, an economic theory that those aware of a system of rewards and punishments will optimize their actions within that system to achieve their desired results. For example, if an employee is rewarded based on the number of cars sold each month, they will try to sell more cars, even at a loss.

While it originated in the context of market responses, the law has profound implications for the selection of high-level targets in organizations. Jon Danielsson states the law as

Any statistical relationship will break down when used for policy purposes.

And suggested a corollary for use in financial risk modelling:

A risk model breaks down when used for regulatory purposes.

Mario Biagioli related the concept to consequences of using citation impact measures to estimate the importance of scientific publications:

All metrics of scientific evaluation are bound to be abused. Goodhart's law [...] states that when a feature of the economy is picked as an indicator of the economy, then it inexorably ceases to function as that indicator because people start to game it.

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