First Derivatives

Lebron James is obsessed with golf. His new YouTube channel is what is getting the most attention, but this has been a publicly known fact for a while. There’s even a (largely unevidenced) theory that he chose to play his potentially final season in Philadelphia for it’s proximity to elite golf courses.

I just want to take this time to deconstruct why Lebron’s golf obsession is interesting. It’s a reminder that first derivatives often matter more than both absolute values and higher order derivatives. Let me explain.

Lebron at 41 years of age, in the face of history, experience, and logic, is still one of the 20 very best human beings at basketball in the world. So, in terms of absolutes, playing basketball should still give him immense satistfaction. The problem, of course, is his personal reference point (how good he used to be) and the rate of decay he is experiencing from that reference point. This is a person who spent more than two decades getting better and better at something, who arrived at a point where they were literally the very best in the world at it, only to then at some point in time arrive at the awareness that they were in fact getting worse at it. To be clear, that rate of decay is far slower than anyone could have predicted, but it remains decay nonetheless. And it’s not just “getting worse”. It’s getting worse at something that you are orienting your every day around. Your meals, your sleep, your family life, everything, all in dedication to something you are getting worse at.

I’m now going to generalize from my own lived experience, but I think the emotional returns to dedication are always stronger when the first derivative is positive, but no amount of work can guarantee it. You can work harder and increase the positive gains or, failing that, slow down the decay, but at some point the decay is inevitable (i.e. the work shows up in the second derivative). And no matter how much you slow it down, decay just isn’t as satisfying as the day-to-day lived experience as improvement or even plateauing.

And this is where golf comes in. Golf is a sport that has much lower athletic barriers to entry and, for Lebron or anyone who is starting out, a vastly lower reference point for quality. It is entirely likely that every time Lebron has ever picked up a golf club he is better at golf than he was the previous month. It is the 100% inverse to what Lebron has experienced playing basketball for at least 7 or 8 years now, likely longer. The relief he must feel, directly experiencing and observing the returns to his efforts.

Coming to terms with being past your prime is a standard trope in narrative fiction of all formats, but from an actual mental health point of view, I don’t think it is given enough attention, particularly for those at the tops of their field. There are vanishingly few purely natural elites in any profession, vocation, or craft. Most have had to sacrfice whole avenues of life experiences to achieve such levels, and when they do begin to decay they either have to endure public scrutiny bordering on censure, or the quiet tragedy of being alone in their ability to discern just how much they have lost. The latter is almost worse. Almost.

As a final tidbit, let me make a loose connection to technological innovation and AI specifically. Obsolescence hurts. A negative first derivative hurts. But what hurts even more is an unexpected shock that accelerates that decay. Injuries are mentally hard for athletes, in part, because of their often discontinuous nature. They were still improving, the rate at which they were improving was accelerating, until they weren’t. There are professions that are wrestling with this right now. There are professionals who reasonably expected to have another half decade before the decay began. That timeline is now in question. And most of us don’t have the luxury of being a generationally great athlete who can immediately become great at something completely new.

Social Media, Mental Health, and Young People

What’s the connection between social media use and mental health, especially among young people? You’ve probably heard a lot about this recently, in the media, by politicians, and among friends chatting about their kids. Lots of assertions are made, but there is also a bit of research on this topic. As someone who frequently uses social media myself, as well as a parent of young children, and a teacher that works every week with young college students, I am particularly interested in this topic.

Jonathan Haidt and various co-authors have been trying to catalog all the research on the topic and figure out if there is a connection between the decline in teenage mental health and the rise of social media use. Haidt also has a new book on this topic, as well as the decline of “free play” among kids, which I have not yet read but I’ve looked through his documents that contain all of the underlying and summaries of the research he is citing. I’ll read the book soon, as I’m certainly part of the intended audience (see the last sentence of the above paragraph). And while this research is very much outside of my area of expertise, my training as an economist has taught me how to read academic papers and to be convinced by evidence, so once again I’m very much the intended audience on this score as well.

Please read this post as my attempt to understand the evidence and start to form conclusions and/or critique what Haidt is saying. It’s a work in progress, and I’ll write more as I read and think more about it.

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Certificate of Need and Mental Health

Most US states require hospitals and other healthcare providers to obtain a “Certificate of Need” (CON) from a state board before they are allowed to open or expand. These laws seem to be one reason why healthcare is often so expensive and hard to find. I’ve written a lot about them, partly because I think they are bad policies that could get repealed if more people knew about them, and partly because so many aspects of them are unstudied.

States vary widely in the specific services or equipment their CON laws target- nursing homes, dialysis clinics, MRIs, et c. One of the most important types of CON law that remained unstudied was CON for psychiatric services. I set out to change this and, with Eleanor Lewin, wrote an article on them just published in the Journal of Mental Health Policy and Economics.

We compare the state of psychiatric care in states with and without CON, and find that psychiatric CON is associated with fewer psychiatric hospitals and beds, and a lower likelihood of those hospitals accepting Medicare.

Together with the existing evidence on CON (which I tried to sum up recently here), this suggests that more states should consider repealing their CON laws and letting doctors and patients, rather than state boards, decide what facilities are “economically necessary”.