Does GDP Growth Mislead Us About Quality of Life?

In this episode, we discuss “When GDP Misleads: Inferring Living Standards from the Value of a Statistical Life”, written by Stanford/Anthropic economist Chad Jones and Stanford/Epoch economist Philip Trammell. The word “AI” never appears in it, yet every argument about whether AI will show up in the statistics runs through the question of whether the statistics were ever measuring the right thing.We start with priors. Has real GDP per capita over- or underestimated welfare growth? Andrey’s case for over: China’s real GDP per capita is up over 70 times since the early 1950s, and life is not 70 times better.The paper poses a dilemma, suppose you have two goods (food and string quartets) with different productivity growth. The counterintuitive result in the paper is that inventing the low-productivity good makes people better off while slowing measured GDP growth. The paper then proposes to use the value of a statistical life as a measure of welfare. It is the nominal price for being alive, so its growth rate, deflated by the marginal utility of consumption and pinned down by the intertemporal Euler equation, gives you the growth rate of lifetime utility. Seth likes it, while Andrey explains why dissatisfaction with the Euler equation was in the top three reasons he didn’t become a macroeconomist.The results: welfare growth of 2.3% a year since 1940 — and a decline from 1980 to 2024. We get into how VSL is actually estimated (hedonic wage regressions identified off coal miners and other people with unusual preferences about dying), the 1% discount rate that arrives uncited in a one-sentence paragraph, whether mortality risk is being double-counted, and the robustness table where moving the interest rate by a single percentage point in either direction swings the 1940–2020 welfare gain.Links & ReferencesThe paper* Charles I. Jones & Philip Trammell, “When GDP Misleads: Inferring Living Standards from the Value of a Statistical Life” — headline results: 2.3%/year welfare growth 1940–2024 (6.9×), negative 1980–2024; robustness range 16.1× to 3× on a ±1pp interest-rate change* Charles I. Jones — Stanford GSB* Philip Trammell — Global Priorities Institute, Oxford* Charles I. Jones, “The AI Dilemma: Growth versus Existential Risk” — the previous Chad Jones paper we covered; bounded utility drives an ever-widening wedge between welfare and GDPThe value of a statistical life* US DOT departmental guidance on VSL in economic analysis — the paper cites $13.7 million for 2024 (we said $14.5 million on air; see Corrections)* Dora L. Costa & Matthew E. Kahn, “Changes in the Value of Life, 1940–1980” — Journal of Risk and Uncertainty, 2004; the compensating-wage-differential estimates the paper’s VSL time series rests on. “I don’t think any value of statistical life paper is very good.”Concepts discussed* The intertemporal Euler equation — and Andrey’s objections: it fails for a large enough subset of people, individual Euler equations don’t aggregate into a linear functional form, and it implies Ricardian equivalence, which is “so provably false as to invalidate this entire approach”* New goods and variety growth — the food-and-string-quartets example; why the moment of invention (price falling from infinity to finite) is the hard part of any variety adjustment; and the composite-smartphone problem in quality adjustment* Robert Nozick’s experience machine — the eudaimonia button, and what it would mean for measured welfare* Derek Parfit on personal identity and future Tuesday indifference — is your discount rate even something a social welfare function should respect?* Charles I. Jones & Peter J. Klenow, “Beyond GDP? Welfare across Countries and Time” — AER 2016;* Trammell’s bull case for AI welfare: not more stuff per person, but vastly more beings capable of having utility — a total-utilitarian argument that this paper’s single representative agent can’t representPreviously on Justified Posteriors* How much should we invest in AI safety? — our earlier Chad Jones episode (existential risk vs. growth)Corrections* VSL figure: On the episode we said the US DOT value of a statistical life was $14.5 million for 2024. Jones & Trammell cite $13.7 million for 2024 (DOT guidance; current DOT table also lists $13.7M for 2024 / $14.2M for 2025). The slip doesn’t affect the paper’s growth-rate results.* China GDP multiple: On the episode we said China’s real GDP per capita was up over 50× and as high as 72× since 1952/1962. A cleaner figure: 2025 real GDP per capita was about 82× its 1962 level.Chapters* (00:00) Cold open: would you rather be middle-class today, or the king of China?* (00:27) Intro — the paper, and why an AI podcast is covering a paper that never says “AI”* (02:12) Priors: has GDP per capita been a good proxy for welfare?* (03:47) Everything good is correlated with GDP — until you look closely* (05:29) China, 1952 to today: 72× GDP per capita. Is life 72 times better?* (06:32) Two concerns: diminishing returns, and growth in varieties* (07:08) Over or under? Andrey’s split verdict on China and the US* (07:43) 116% since 1980 — “they already had pinball machines”* (08:51) Seth’s prior: diminishing returns dominate, and why the AI age might flip the sign* (10:09) Haven’t we already had huge variety growth? Podcasts, Prairie Home Companion, and the eudaimonia button* (11:15) Putting numbers on it: 95% and 80% that GDP still overstates* (11:36) How much better is life since 1986? Andrey says 25%* (12:12) The benchmark: life expectancy × log consumption, and 41% since 1980* (13:25) The paper’s setup: food, string quartets, and a productivity gap* (15:05) Why inventing the new good makes us better off and slows measured growth* (16:37) Quality adjustment, and the composite-smartphone problem* (17:08) The problem that exists even before invention: satiation* (17:41) Varieties vs. abundance: the king of China, at length* (19:01) Trammell’s actual bull case: more beings, more utility* (19:44) The clever idea: the value of a statistical life as a nominal price for being alive* (21:10) $14.5 million — but 14.5 million what?* (21:50) The deflator problem, Weimar Germany, and the marginal utility of consumption* (24:12) “Micro or macro?” — the Euler equation and the conditions it needs* (25:54) Discount rate vs. mortality risk — is something being double-counted?* (27:17) The magic equation, in two equivalent forms* (28:59) “The intertemporal Euler is getting some intertemporal shade”* (29:40) Ricardian equivalence, aggregation, and “I have told Chad this”* (31:04) Seth’s defense: welfare on the left, nominal on the right* (31:49) How VSL is actually measured: Costa & Kahn, and the death risk of coal mining* (33:04) Identification off the highest-risk jobs — and the people such jobs attract* (34:44) “It’s just made up”: the $14.5M highway-safety number* (35:22) The other inputs: a 1% discount rate, uncited, and T-bills plus a convenience yield* (35:53) The results: 2.3% a year since 1940* (37:19) …and negative since 1980. Life peaked in 1984* (38:05) 6.9× vs 2.4×: could you convince me life is seven times better than 1940?* (39:27) “For whom?” — the representative agent, the 10th percentile, and changing demographics* (41:19) Should a social welfare function respect your discount rate at all? Parfit and future Tuesday indifference* (42:07) Posteriors* (43:37) The robustness table: one percentage point, 16.1× or 3×* (45:10) Sign-off Get full access to Justified Posteriors at empiricrafting.substack.com/subscribe