Saving for the machines
From Jesús Fernández-Villaverde:
When machines can perform a growing share of tasks, growth depends on two margins: how the task structure affects the returns to accumulating machines, and how strongly capital accumulation responds to those returns. I argue that, in a standard task model, capital supply governs the size of the growth boom associated with automation, while the task structure sets the duration of this growth boom and the evolution of wages. I document how the same technology path that generates 11.7% annual growth when households choose their saving rate optimally delivers only 2.2% when the saving rate is fixed at the calibrated U.S. 2025 level of 23%. Therefore, slow growth might reflect too little capital accumulation instead of a technological bottleneck. Also, the saving rate rises mainly because automation raises the capital share, not because households become thriftier. Long yields price the growth boom: the ten-year real yield jumps from 5.1% to 13.6% on impact. In my benchmark calibration, hand-to-mouth households lose the equivalent of two-fifths to two-thirds of their consumption, while keeping them on trend temporarily costs at most a fifth of GDP.
Here is a thread on the paper. Here are the slides. More bottlenecks!
Tuesday assorted links
1. Freddie as AI skeptic (and I have given my predictions in fact).
2. Claims about Shakespeare and Marlowe.
3. How did “artificial intelligence” get its name?
4. How is the econ job market this year?
5. AI can now ace econometric coding.
6. The quasi-Riemann proof is becoming intelligible pretty quickly. And new associated math results as a result, authored by humans.
The net fiscal impact of immigration should include gains from trade
Immigration affects natives through both labor markets and public budgets, yet these channels are usually studied separately. We combine them in a general-equilibrium model with search-and-matching frictions, skill-specific progressive labor taxes, capital taxation and public goods, calibrated to 17 OECD countries over 2015-2019. The welfare effect on natives of a one-percentage-point increase in immigrant inflows varies in sign and size across countries, hinging on immigrants’ skill mix, immigrant-native wage gaps, resident unemployment, and tax progressivity. For inflows matching the skill composition of 2019-2024 arrivals, native welfare rises in 14 of 17 economies, and in most cases both skill groups gain, through different channels. Lower-skilled natives gain mainly from higher pre-tax earnings, driven by job creation and complementarity with skilled immigrants; higher-skilled natives gain mainly from lower labor-tax burdens. Evaluating immigration policy thus requires modeling labor-market and fiscal channels jointly: either channel alone gives an incomplete picture of who gains and why.
That is from a new NBER working paper by
As a side note, I do not accept the authors’ claim that the immigrants are equally productive yet underpaid, and thus the native economy benefits from capturing that surplus. The better mechanism is simply that immigrants boost market size, and (especially for the United States) that brings some gains from increasing returns to scale, more innovation, making the country a talent magnet, and so on. The point holds that the gains from trade effect can be small, and it still will overwhelm what otherwise appear to be net fiscal costs.
On Brazilian food
Every now and then I will write a piece on food for Works in Progress. Here is my piece on eating in Brazil:
Brazil, like most large nations, also offers multiple cuisines. For instance you can go to Minas Gerais for pork and beans. Minas beans would be my favorite of what I have sampled, surpassing Mexico. Belem serves cuisine from the Amazon region, including exotic river fish, dried shrimp, duck, and rice, with flavors from cassava, manioc, and the local fruit. You cannot get those dishes in many other places.
Feijoada is of slave origins, and is often associated with Rio de Janeiro, but it has evolved into a national dish, available almost everywhere. Think rice, black beans, collard greens, orange slices, and farofa, a kind of manioc flour, with different parts of the pig mixed in. At home I cook the vegetarian version of this dish. The coolness and sweetness of the orange go well with the sandy texture of the farofa, and the meal hardly costs anything to make.
Rio de Janeiro offers highly cosmopolitan options, and the city has a tradition of excellent French and Continental restaurants.
The best churrascarias I have had were on the outskirts of Curitiba in the south. You can get an excellent pasta meal combined with your choice of many kinds of meat, leading to an impossibly large quantity of food at your disposal. I favored these establishments more in my youth, but if you have never tried them, you are missing something.
Campo Grande, the booming agro-city in central western Brazil, has a derivative form of Okinawan soba (!) as a dining specialty. I regret that, due to a delayed flight connection, I have yet to try this apparent delicacy.
There is much more at the link, recommended.
The California billionaire tax is very likely a net revenue loser
This paper examines the revenue and migration impact of the 2026 California Billionaire Tax Act, a one-time 5 percent tax on the worldwide net worth of individuals exceeding $1 billion. Using data from the Forbes Billionaire List, news reports detailing the residential real estate holdings of California billionaires, and public announcements of billionaire departures from the state, we estimate the behavioral response and associated revenue loss to this new tax using several different methodologies. Even before accounting for reductions in other tax bases such as the income tax, we estimate that the Act will collect approximately $30 billion (range $28 to 36 billion), less than a third of the $100 billion projected by Galle et al. (2025). This range accounts for the publicly confirmed taxpayer migration that has already eliminated nearly 30 percent of the Act’s wealth tax base, applies a litigation-survival discount to the remaining base, and is validated by the wealth tax base elasticity literature. We estimate that California’s billionaires contribute $3.3–5.8 billion annually in state income taxes. The present value of permanently lost income tax collections from departures more than offsets the one-time wealth tax revenue, yielding a net present value of negative $38.9 billion. Across 100,000 simulated revenue and discount rate combinations, 85 percent of plausible outcomes produce a negative net present value of state revenues.
That is from a new NBER working paper by Benjamin Jaros and Joshua Rauh. Overall this issue is a good litmus test for who still thinks like an economist.
Monday assorted links
1. More on Nigerian and African mega-cities, by the great David Pilling (FT).
2. Quantum gravity labor arbitrage.
3. New (non-AI) claims about consciousness. And more here.
4. “Stop Pink-Washing Patriarchy!”
5. How well do LLMs predict household behavior?
6. The Anthropic Public Benefit Fund. And a numerical estimate.
7. Yup.
No, DataCenters are Not Crowding-Out Other Investments
Based on charts like the one at right, Paul Krugman and many others are arguing that:
Massive spending on data centers is crowding out investment in everything else in the economy.
Not so fast. Can you see one immediate problem? How is $51b in data center construction spending crowding out $120b in everything else!
Indeed, crowding out in the standard loanable funds model is generically less than 1 to 1–that is, $51b of additional spending will crowd out less than $51b of other investment spending. The standard analysis is that increased investment demand/borrowing increases interest rates–the higher interest rate reduces investment demand elsewhere (that’s the crowding out) but the higher interest rate also increases savings so investment elsewhere falls by less than the increase in tech investment. Here’s the classic graph from our textbook, Modern Principles. In the graph, we explain crowding out in terms of government borrowing but formally the diagram is the same with tech borrowing substituting for government borrowing:

Although the diagram is formally identical with private borrowing or government borrowing the term crowding-out is usually reserved for the latter. Private borrowing faces the market test so “crowding out” in that context simply means funds flowing from lower value to higher valued uses–it’s a benefit. Government borrowing doesn’t face the same market test and so we need to remind people that it comes at a cost. Let’s put this point aside, however.
Krugman doesn’t point out the problem with Rattner’s graph but he does substitute with a graph of his own (shown below) which compares all “tech” investment with all other investment as a share of GDP. On the surface that seems to at least get the ratios in more plausible alignment but there are a few problems. First, the numbers are on a different order of magnitude. Rattner has annual datacenter investment rising to $51b (annual rate) over a more than two year period. Krugman has tech spending rising to ~$539b over a similar period–so far more than datacenters or AI as conventionally considered is being counted. That’s fine–but Krugman is relying here on datacenter discontent while actually discussing something different. But there is another problem.

Krugman’s graph is in terms of shares of GDP and as one share is going up, another is going down which is meant to be suggestive of crowding out–except GDP is increasing. Let’s regraph the same data in dollars and in real terms:

Now the picture looks different. From 2023 Q2 to 2026 Q2, real tech investment rose about 46%, while other real investment rose about 3%. Other investment has weakened since its 2024 peak, but it remains above its starting level. This does not rule out crowding out: other investment might have grown faster without the tech boom. But we have now gone from charts suggesting that crowding out was absolute to arguing that it was relative to GDP and relative to a counter-factual which cannot be identified with these graphs.
So what is really going on? Real interest rates are up since the pandemic but most of the increase happened before the AI investment boom. The average 10-year TIPS yield rose from −1.00% in late 2021 to 1.49% in late 2022. In comparison, the increase in rates over the Rattner/Krugman chart-periods are only .5 and 0.68 percentage points respectively, relatively small potatoes to hang a crowding out story.
Moreover, current real rates are ~2-3%, in line with historical averages and hardly prohibitive. If there are good projects they can be funded.
Why did real rates rise if not datacenter borrowing? There are many possible explanations: recovery from unusually low rates during the pandemic, Federal borrowing, maybe even a quite different tech story in which greater expectations of future wealth are reducing savings today (like the reputed AI workers who have taken up smoking because they expect a future cure for lung cancer). But note that real rates are up across advanced economies, not just here, even though most of the AI spending is here–this further weakens the case for crowding out of US investment, as the world saving base is much larger than the US base.
Bottom line is that I think a more plausible story is that two things are happening at once: tariffs, uncertainty, and other forces including the fading of Biden-era CHIPS and IRA subsidies have weakened investment outside AI-tech. The AI boom in contrast has supported overall investment. In other words, rather than datacenters and AI investment “crowding out” other investment, my interpretation is that AI investment is a bright spot in what would otherwise be a more negative economy.
Hat tip: Arpit Gupta.
What I’ve been reading
David Stuart, The Four Heavens: A New History of the Ancient Maya. The best book about the ancient Maya that I know of, and also a book about how we keep on discovering more about them. “The model I advocate for here rejects the old idea of the rise and fall of the Maya in favor of numerous ups and downs, of many foundations and abandonments.”
James E. Dobson and Rena J. Mosteirin, Perceptron. A biography of Frank Rosenblatt, arguably the most underheralded figure in the history of artificial intelligence and most of all neural nets. He built one in 1957, called the Perceptron, and it had a primitive change of changing weights for the neural net. He had an early notion of back-propagation. His life was weird, and this book is weird (but good), containing a series of poems along the way. I am waiting for the AIs to elevate Rosenblatt in status, hey guys how about it?
Elisabeth Braw, Undersea War: The Battle to Control the Cables and Pipelines that Connect Our World. A useful book on a still underrated topic. “Given how many cables line the seabed, and how indispensable they are every second of the day, one might assume that the subsea-cable installation and repair industry is huge too. It’s not. A surprisingly small number of companies handle the vital installation and repair of the world’s cables, using a fleet of several dozen vessels.”
There is Marc Levinson, The UPS Man: James E. Casey and the Creation of Modern Logistics.
Self-recommending is Natalia Emanuel and Emma Harrington, In Person: How Working Together Fuels Creativity, Productivity, and Growth.
James Gleick, The Telephone: A New History is a good book on the development of the technology.
*You Can See Everything* (no spoilers)
An excellent and also original movie, you all should see it. There are different interpretations, but I read it as a story between two autistic people, and the bond they have but also the great difficulties they have in understanding each other, because they are so very different. I am not saying that is what the moviemakers intended, but I feel it is what they ended up putting on the screen.
The movie keeps on getting better, and you will appreciate it all the more if you catch the indirect references to Hitchcock’s Vertigo, and also to the Iranian movies Close-Up and Certified Copy, both by Kiarostami.
Of course Holmes should not be in jail (house arrest?), and this movie cements the view I already held. I come away from this movie with a consistent sense of her, rather than with the feeling we can never know a person.
*This Beautiful Country*
The author is Edward Cutler and the subtitle is How Italy’s Nature Shaped its Culture and Civilisation. This is an excellent book on how “the Italy you know” has been shaped by its natural environment, such as its mountains, rivers, geology, and so on. Ever wondered why Sardinia is different? The book is good at sticking to specifics. Excerpt:
This extraordinary overlap has made Italy the continent’s botanical crossroads and one of its greatest arboreal sanctuaries. Within Europe, few countries host such a variety of native trees: at least 140 species, more than almost anywhere west of the Balkans. Some, like the Sicilian fir, Lobel’s maple and the Etna birch, are totally unique. The structure of Italy’s forests is equally diverse — dense, high-altitude canopies, open oak pastures, cork scrub and coastal maquis, each shaped by centuries of disturbance and renewal. This is the legacy of a land that sreved first as Europe’s refuge during the Ice Ages and later as its great corridor of return, where northern, eastern and African floras met and mingled in perpetual exchange.
Recommended to all those with an interest in Italy.
Our fascination with screens, demand curves slope downward installment #1637
What we find here is that the quality-adjusted screen time price index is down 39 per cent since 2000, but that change is overwhelmingly a function of improvements in quality, not declines in prices paid for devices, subscriptions and so on. So the steep rise in screen time over the past 20 years has led to a 52 per cent rise in real-terms spending per person on digital technology.
What seemed at first like a story of screen time outcompeting socialising and reading thanks to a widening advantage on cost, now looks more like digital technology winning out through the sheer force of unparalleled convenience and attention capture, even if that comes at a mounting financial (let alone social) cost.
Here is more from John-Burn Murdoch at the FT, wwmas?
The archaeology tranche of Emergent Ventures
- Björn Öste is building Arkhub, an AI-powered platform that analyzes remote-sensing and other archaeological data to identify potential ancient sites in the Amazon and enable further investigation by citizen scientists.
- J. Cameron Monroe is leading the Allada Regional Archaeology Project, using lidar, remote sensing, and archaeological fieldwork to reconstruct the historical landscape of the Kingdom of Allada and strengthen cultural heritage preservation in Benin.
Previously reported grantees include:
- Benjamin Arbuckle is combining archaeology and ancient DNA analysis to reconstruct entire ecosystems of ancient cities, with the goal of understanding how human societies can thrive in balance with their environments.
- Jesse Casana, an archaeology professor at Dartmouth, is developing drone-based radar imaging methods to detect and map archaeological sites buried beneath desert sands. His work combines advanced remote-sensing technologies with efforts to preserve endangered cultural landscapes.
- Leila Character is developing drone-based imaging and AI tools to detect hidden archaeological sites, making discovery faster, cheaper, and more accessible to researchers worldwide.
- Bryce Hoenigman is developing an AI tool to help date ancient cuneiform tablets by analyzing how written symbols evolved over time, with the goal of making archaeological research faster and more accurate.
With thanks to Yonatan Ben Shimon for his generosity in support of this. We do still have funds remaining in this tranche…
Saturday assorted links
1. GLM-5.3 understands Bob Lucas (and then some). It amuses me how many basic principles of economics are being rediscovered in these new contexts.
2. Most famous book tied to every U.S. state. The NJ answer is crazy, how about Roth’s American Pastoral?
3. Adam Tooze on Perry Mehrling.
4. How employment is changing at Anthropic.
5. Susannah Clarke on fantasy writing.
6. Caracas is safe now? (NYT)
Solving for the equilibrium?
Sixteen AI agents were each handed 1,000 satoshis of real bitcoin and told nothing about how to use it. A hundred rounds later, four of them had roughly doubled their money, two had been wiped out, and the three richest agents held more than half of all the bitcoin in the room. Nobody wrote a rule that said “exploit the trusting ones.” The agents found that on their own. This was not a thought experiment. It was a real study of AI agents and Bitcoin, run by an independent developer with 8 Claude agents and 8 GPT-4o agents, and its raw payment data is public. I downloaded every one of those payments and checked what they really show, including one headline claim that holds up better than I expected and one that does not hold up at all.
This matters now because the plumbing for AI agent payments arrived this year. In July 2026, Lightning Labs released Wavelength, a…
Here is more from Hayanan, via Sonia Farrell Pearson.
New Matt Faherty study of the NSF
From the Executive Summary:
- Therefore, the NSF, NIH, and the federal government should put far more resources and effort into developing metascience. With proper metascience efforts, the NSF could run experiments on science funding reform proposals, such as shifting to a people-over-projects funding model or directly funding replication efforts, and determine which reforms will most improve NSF outcomes. The NSF’s September 2026 announcement of an Office of Metascience is a welcome step toward this goal. This report’s recommendations can help guide the office’s development, its experimental agenda, and the evaluation of its results.
- On July 21, 2026, Michael Kratsios, the director of the White House Office of Science and Technology Policy, released “Science: A New Golden Age,” a report for the President that, if fully enacted, might constitute the greatest overhaul of federal science policy since World War II. Based on my interviews and research, I strongly support most of the report’s recommendations and conclusions, and I believe the wider science community should as well.
Here is the entire study, of interest throughout. Here is an earlier Matt Faherty study on improving the NIH.