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Categorizing Variants of Goodhart's Law

David Manheim, Scott Garrabrant

2018 · arXiv

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From the abstract

There are several distinct failure modes for overoptimization of systems on the basis of metrics. This occurs when a metric which can be used to improve a system is used to an extent that further optimization is ineffective or harmful, and is sometimes termed Goodhart's Law. This class of failure is often poorly understood, partly because terminology for discussing them is ambiguous, and partly because discussion using this ambiguous terminology ignores distinctions between different failure modes of this general type. This paper expands on an earlier discussion by Garrabrant, which notes there are "(at least) four different mechanisms" that relate to Goodhart's Law. This paper is intended to explore these mechanisms further, and specify more clearly how they occur. This discussion should be helpful in better understanding these types of failures in economic regulation, in public policy, in machine learning, and in Artificial Intelligence alignment. The importance of Goodhart effects depends on the amount of power directed towards optimizing the proxy, and so the increased optimization power offered by artificial intelligence makes it especially critical for that field.

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8 selected excerpts · 8 total mentions

divan
Strong recommendation · rule
Interesting links in the article and comments, but it seems like two different concepts are mixed here – the nature of bureaucracies and wrong incentives. I struggle to understand how cobra and rat cases are "institutions trying to preserve the problem". Cobra effect, in particular, is an immensely interesting topic of how rewarding the metrics can distort the system, otherwise known as Goodhart's effect. I highly recommend reading these two papers on the subject for anyone interested: - Categorizing Variants of Goodhart's Law [1] - Building less-flawed metrics: Understanding and creating better measurement and incentive systems [2] Adding the "Cognitive Surplus" book to…
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the to-do shelf, but it seems like Shirky principle is mostly about institutions and the nature of bureaucracies. Now, a good question would be - when and why Shirky principle does not apply to the institutions. My first thought is the difference between bureaucracies that have "owner" and ones who lost it. When a bureaucracy has an owner (person or group of people) who can change the bureaucracy in response to external events, then it's probably unlikely to have Shirky effect (WHO and smallpox example in comments). However, bureaucracies that have lost their owner will most likely have this effect. The best thing I read on this subject (how bureaucracies work) is Samo Burja's "Great Founder Theory" [3]. If anyone can suggest something along these lines on the fundamental principles of bureaucracies, I would appreciate a lot. [1] https://arxiv.org/abs/1803.04585 [2] https://www.sciencedirect.com/science/article/pii/S266638992... [3] https://samoburja.com/gft/
pikwip
Recommendation · rule
Here's a interesting paper I found that attempts to categorize the mechanisms by which Goodhart's Law operates in the real world. The variants are separated into Causal and Non-causal mechanisms. https://arxiv.org/abs/1803.04585
davidmanheim
Neutral mention · rule
Others pointed out that it's hard to measure subjective factors well. I'd point to a different issue - if you have a metric for, say, wellbeing which is correlated with what you actually care about, putting pressure on other parts of the system - like maximizing engagement - will systemically warp those metrics to be less accurate. For an extensive discussion of how this can happen, see: https://arxiv.org/abs/1803.04585
divan
Neutral mention · rule
There is a deeper and largely overlooked problem with sports judging, especially in the sports with artistic component (like gymnastics or figure skating) – Goodhart's effects. Goodhart's effect stands for "when the metric becomes a target it stops being a good metric". As soon as you make measurement part of the reward system, it changes the whole system. Take figure skating as an example. Since 2006, ISU has introduced a similar judging system - IJS – that uses points for elements and an increasingly complex code of rules on how to assign those points. Each element has a so-called "base value" and judges determine GOE value in the range from -5 to +5 for each element.…
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The computer averages that and takes trimmed mean to produce the final points for the element. Those base values and points are logically assigned by the complexity of elements. More complex elements cost more. Great skaters can perform more complex elements. Sounds logical, right? What has happened, though, is that using these points as a target has changed the way how skaters train. Why spend time learning "easy" elements that give little points? All time must be spent now learning "complex" elements that give more points. In a way, before, IJS skaters were chasing overall greatness; now, they chase points. "Skater's greatness" – whatever that means – is hard to define, let alone measure. The ability to perform complex jumps was a consequence of it, not a cause. Using points as a metric changes the whole system of training, and a new generation of skaters can perform insane quads (often because of pre-puberty body sizes, though), but no one would call them great skaters. I'm not even starting with how these points affected artistry. "Program components" (PCS) that should measure artistry are practically a joke now. You basically can multiply jump scores by some constant and get PCS. [1] All skating programs look the same now and are very predictable because of points maximization. Back to AI. The rules for figure skating become more and more complex each year in order to duct-tape the constantly emerging issues. Many judges admit that complexity is so high that the human brain can't even possibly apply them in real time and has to resort to cognitive shortcuts. There are some early flirtations with using AI for judging figure skating [2], but nothing serious yet. As outlined in the "Categorized Variants of Goodhart's Law" [3], one of the major reasons of this effect in sports is not just the fact that elements != greatness, but the fact that there is no shared definition of what is a True Goal of this sport. What exactly judging system try to measure? What would constitute the best skater? Where there is no explicitly stated True Goal, any proxy variable used as metrics (like "ability to perform complex elements") will be far from good and will be distorting the system even further. Eventually, this boils down to the structure and decision-making in the international federation that governs this sport. And these things cannot be solved by AI. In a way, using AI is a yak-shaving for ever-increasing rules of an inherently wrong judging system. [1] http://libjournals.unca.edu/OJS/index.php/mas/article/view/2... [2] https://www.youtube.com/watch?v=pq_mv1eyZyA [3] https://arxiv.org/abs/1803.04585
divan
Neutral mention · rule
Right. Do you have any good recommendations to read on this matter? Here are a couple of good papers on how metrics distort systems and what can be done to mitigate this. [1] [2]. And then a new post by Cedric Chin on practical examples of mitigating Goodhart's law in Amazon. Really good read: [3] But generally, I feel like not many people or organizations care about this. The non-profit sports world is conservative and slow, organizations and corporations are also often slow, and there some psychological/social effects linked to the metrics-that-don't-work-anymore. --- - [1] Categorizing Variants of Goodhart's Law - https://arxiv.org/abs/1803.04585 - [2] Building Less Flawed Metrics: Dodging Goodhart and Campbell's Laws - https://www.researchgate.net/publication/334478956_Building_... - [3] https://commoncog.com/goodharts-law-not-useful/
divan
Neutral mention · rule
Exams and sports competitions are a particularly nasty example of Campbell's Law (or Goodheart's Law) – collapsing the correlation between metric and the true goal. Exams, for example, are supposed to measure how much students progressed. "True goal" - learn some knowledge or master some skill. "Metric" is the quiz/tests/exam result. If you try to design an exam for any new skill or knowledge, you'll come up with a pretty good metric. But soon, people will start ignoring the true goal and focus on the metric. Instead of "measuring" how well they learned the skill, your metric measures "how well they overfitted for the exam". In a way, the mere fact that people need to…
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"prepare for exams" is a testament to how failed the system is. Sport is similar. The initial idea of the judging system and competitions is to "measure" the performance of the athlete. Rewards and rules are introduced to make this metric clear and unambiguous. Fast-forward a couple of decades, and athletes and coaches don't care about overall performance – they care about winning the medal, so they focus only on the subset of a skill that gives points. This problem is especially horrifying in the sports like figure skating after introducing the IJS system in 2006. Correlation between "true goal" (skating skills) and "metrics" (points given for specific elements) is collapsed – people chase points, not the skill. It's not a simple problem. There are few neat papers on how to approach solving Goodheart's problems ([1] [2]). But on a practical level, the number one tool seems to be to decrease the importance of the metric. Some sports, for example, have "one major competition" once in 4 years (Olympic Games). The price of winning it is insane. Who cares about the true goal if it's almost life-and-death importance? You chase the points. But other sports have a more healthy approach – tennis, for example, doesn't care much about the Olympics. They have Slams and different surfaces competitions throughout the year. You lost a game - not the end of the world. There will be many more. The higher prize is to win all four Slams in your career, so the price of the metric at a single competition is not that huge. And this collapsing metric is a reason why people cheat. You can't cheat on a true goal, only on a proxy metric. [1] Categorizing Variants of Goodhart's Law - https://arxiv.org/abs/1803.04585 [2] Building Less Flawed Metrics: Dodging Goodhart and Campbell's Laws - https://www.researchgate.net/publication/334478956_Building_...

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