Public Goods and Spending on lighthouses in Antebellum America

I have been working the last two weeks on a revise and resubmit for a journal article regarding the provision of lighthouses in antebellum America (1790-1860). This is in relation with other works I am doing or have already done (see here, here, here, and here) with respect to the provision of public goods by states or markets (i.e., remember that lighthouses were/are a frequent textbook example of public goods). In the process of doing the revisions, I assembled data on all expenditures by the Lighthouse Establishment and Lighthouse Board to 1860. This includes appropriations for new constructions, salaries of keepers, provisions for operation and maintenance expenditures. I divided these expenditures by GDP to yield the graph below.

There is not a ton to say about this here on this blog except the following three interrelated comments. First notice that the scale means that lighthouse spending to GDP is always less than 0.05% of GDP. That is small. Second, notice that the trend is up over time. It goes from 0.01% to a bit than 0.05% in peak years. These first two comments matter because you would expect the small share to grow smaller over time. Why? Remember the definition of public goods — non-rivalrous and non-excludable. The first part of that definition implies that you take the sum of marginal benefits at any quantity for everyone in a society to arrive at the societal benefit of an extra unit of public goods. If the marginal cost of providing the public good is zero, is constant or is only increasing at a slow pace, this means that adding an extra person would add more to the benefits than the cost. Phrased differently, this means that we should expect lighthouse spending to fall or stay constant as a share of GDP. This is because GDP goes up when more people are added (and the benefits of the public good scale up with extra people) while costs do not increase as much. Ergo, the trend in the graph below should fall.

Figure 1: Lighthouse Spending in America Divided by GDP, 1791 to 1860

Willingness to be Paid Paper Accepted

I am pleased to announce that my paper “Willingness to be Paid: Who Trains for Tech Jobs?” has been accepted at Labour Economics.

Having a larger high-skill workforce increases productivity, so it is useful to understand how workers self-select into high-paying technology (tech) jobs. This study examines how workers decide whether or not to pursue tech, through an experiment in which subjects are offered a short programming job. I will highlight some results on gender and preferences in this post.

Most of the subjects in the experiment are college students. They started by filling out a survey that took less than 15 minutes. They could indicate whether or not they would like an invitation for returning again to do computer programming.

Subjects indicate whether they would like an invitation to return to do a one-hour computer programming job for $15, $25, $35, …, or $85.[1]This is presented as 9 discrete options, such as:

“I would like an invitation to do the programming task if I will be paid $15, $25, $35, $45, $55, $65, $75 or $85.”,


“I would like an invitation to do the programming task if I will be paid $85. If I draw a $15, $25, $35, $45, $55, $65 or $75 then I will not receive an invitation.”,

and the last choice is

“I would not like to receive an invitation for the programming task.”

Ex-ante, would you expect a gender gap in the results? In 2021, there was only 1 female employee working in a tech role at Google for every 3 male tech employees. Many technical or IT roles exhibit a gender gap.

To find a gender gap in this experiment would mean female subjects reject the programming follow-up job or at least they would have a different reservation wage. In economics, the reservation wage is the lowest wage an employee would accept to continue doing their job. I might have observed that women were willing to program but would reject the low wage levels. If that had occurred, then the implication would be that there are more men available to do the programming job for any given wage level.

However, the male and female participants behaved in very similar ways. There was no significant difference in reservation wages or in the choice to reject the follow-up invitation to program. The average reservation wage for the initial experiment was very close to $25 for both males and females. A small number of male subjects said they did not want to be invited back at even the highest wage level. In the initial experiment, 5% of males and 6% of females refused the programming job.

The experiment was run in 3 different ways, partly to test the robustness of this (lack of) gender effect. About 100 more subjects were recruited online through Prolific to observe a non-traditional subject pool. Details are in the paper.

Ex-ante, given the obvious gender gap in tech companies, there were several reasons to expect a gender gap in the experiment, even on a college campus. Ex-post, readers might decide that I left something out of the design that would have generated a gender gap. This experiment involves a short-term individual task. Maybe the team culture or the length of the commitment is what deters women from tech jobs. I hope that my experiment is a template that researchers can build on. Maybe even a small change in the format would cause us to observe a gender gap. If that can be established, then that would be a major contribution to an important puzzle.

For the decisions that involved financial incentives, I observed no significant gender gaps in the study. However, subjects answered other questions and there are gender gaps for some of the self-reported answers. It was much more likely that women would answer “Yes” to the question

If you were to take a job in a tech field, do you expect that you would face discrimination or harassment?

I observed that women said they were less confident if you just asked them if they are “confident”. However, when I did an incentivized belief elicitation about performance on a programming quiz, women appear quite similar to men.

Since wages are high for tech jobs, why aren’t more people pursing them? The answer to that question is complex. It does not all boil down to subjective preferences for technical tasks, however in my results enjoyment is one of the few variables that was significant.

People who say they enjoy programming are significantly more likely to do it at any given wage level, in this experiment.

Fig. 3 Histogram of reservation wage for programming job, by reported enjoyment of computer programming (CP) and gender, pooling all treatments and samples

Figure 3 from the paper shows the reservation wage of participates from all three waves. Subjects who say that they enjoy programming usually pick a reservation wage at or near the lowest possible level. This pattern is quite similar whether you are considering males or females.

Interestingly, enjoyment mattered more than some of the other factors that I though would predict willingness to participate. About half of subjects said they had taken a class that taught them some coding, but that factor did not predict their behavior in the experiment. Enjoyment or subjective preferences seemed to matter more than training. To my knowledge, policy makers talk a lot about training and very little about these subjective factors. I hope my experiment helps us understand what is happening when people self-select into tech. Later, I will write another blog about the treatment manipulation and results, and perhaps I will have the official link to the article by then.

Buchanan, Joy. “Willingness to be Paid: Who Trains for Tech Jobs.” Labour Economics.

[1] We use a quasi-BDM to obtain a view of the labor supply curve at many different wages. The data is not as granulated as that which a traditional Becker-DeGroot-Marschak (BDM) mechanism obtains, but it is easy for subjects to understand. The BDM, while being theoretically appropriate for this purpose, has come under suspicion for being difficult for inexperienced subjects to understand (Cason and Plott, 2014). We follow Bartling et al. (2015) and use a discrete version.

Highlights from EA Global DC

I was in DC last weekend for the Effective Altruism Global conference. I met a lot of smart people who are going to have a huge impact on the world, and some who already are. I’ll share a few of my favorite highlights here, with the disclaimer that most quotes won’t be exact:

The mistake every do-gooder makes is coming to a country and thinking ‘I’m just here to help people, I’m not a political actor.’ Guess what? You are. What you do changes the balance of power, often toward the center

Chris Blattman

I’m funding the Yale spit test? The world doesn’t make sense [Yale, NIH, et c should be on it]… its like, if I won an academy award or NBA MVP, how screwed up would the world be?

Tyler Cowen, referring to Fast Grants

You should all be political independents, both parties are terrible. You should be voluntary social conservatives, behave like Mormons…. we need a marginal revolution toward the better parts of the Mormon / social conservative package

Tyler Cowen
“Keep right” indeed

Tyler later specified that the main things he meant by this were to marry young and not drink, though I don’t think he realized how common the latter already is:

As he often does, Tyler recommend that people travel more:

If I meet someone who’s been to 40 countries I tell them they should travel more, and to weirder places

Tyler Cowen

But when someone asked “How much travel is too much”, he came up with this limiting principle:

How much travel is too much travel? 10% after your significant other gets mad at you

Tyler Cowen

I asked Matt Yglesias how much of his policy influence comes just from writing things online, and how much from personal connections and being in DC. He said something like:

Personal connections matter a lot given how real people change their minds, but there’s also less of a dichotomy than you’d think. For instance, a WaPo column of mine was getting passed around the White House, but I wrote it because someone in the WH suggested the topic. Politicians often communicate with each other via the media, though I wish they wouldn’t. Just talk to each other, you work in the same building!

Matt Yglesias

His take on the changing media environment:

My tweets are more influential than my columns & substack, because they are read so much more & I’m followed by many journalists. Overall though now is a great time for specialists, obsessives and weirdos. Construction Physics is a great blog now but if he’d written it in 2003 people would just be like, WTF. On the other hand my [generalist] college blog did well in 2003 but if a college student wrote the same kind of things today people would say, who cares?

Matt Yglesias

Journalists are suspicious haters, that’s our function in society

Can’t remember if this was Matt Yglesias or Kelsey Piper

Tyler and Matt were both telling people that you can accomplish your goals more effectively by being more “normie” in some ways. This can be a bit of a sacrifice, but:

If you can give a kidney, you can learn to tie a tie, give a firm handshake, and look people in the eye

Matt Yglesias

I’m some combination of smart enough and arrogant enough that its normally rare for me to meet someone and think “oh, you’re smarter than I am”. But at EAG it was common; not just because of the ridiculous numbers of top-university degrees and real-world accomplishments, but the breadth and depth of the conversations, everything from mental math to number theory, AI to finance, to a surprisingly convincing pitch for the relevance of metaphysics for political theory.

The other main place I think this is SSC / ACX meetups

It wasn’t a step up for everyone though; I talked to someone at a top hedge fund who said the people he worked with were “are the smartest, most dedicated people I’ve been around…. smarter than EAs, more able to execute than mathematicians at [top PhD program he was at]”. They work 12 hour days, actually working the whole time (no long lunch break, small talk with colleagues, reading social media on their computers)… but all in a ruthless, selfish, impressively successful quest to outsmart the market and make more money.

Overall it was a great time and helped me narrow down my plans for what to do with my time and brainpower post-tenure. If you’re interested there are more conferences ahead.

Millennials Have Caught Up to Boomers: Generational Wealth Update (2022q2)

Last week I wrote about wealth growth during the pandemic, but my favorite way to look at wealth data is comparing different generations. Last September I wrote a post comparing Boomers, Gen Xers, and Millennials in wealth per capita at roughly the same age. At the time, Millennials were basically equal to Gen X at the same age, and we were a year short of having comparable data with Boomers.

What does it look like if we update the chart through the second quarter of this year?

I won’t explain all of the data in detail — for that see my post from last September. I’ll just note a few changes. We now have single-year population estimates for 2020 and 2021, so I’ve updated those to the most recent Census estimates for each cohort. Inflation adjustments are to June 2022, to match the end of the most recent quarter of data from the Fed DFA. We still have to use average wealth rather than median wealth for now, but the Fed SCF is currently in progress so at some point we’ll have 2022 median data (most recent currently is 2019, and there’s been a lot of wealth growth since then).

What do we notice in the chart? First, we now have one year of overlap between Boomers and Millennials. And it turns out… they are pretty much at the same level per capita! Millennials have also now fallen slightly behind Gen X at the same time, since they’ve had no wealth growth (in real, per capita terms) since the end of 2021 to the present.

But Millennials have fared much better in 2022 with the massive drop in wealth: about $6.6 trillion in total wealth in the US was lost (in nominal terms) from the first to the second quarter of 2022. None of that wealth loss was among Millennials, instead it was roughly evenly shared among the three older generations (Boomers hid hardest). This difference is largely because Millennials hold more assets in real estate (which went up) than in equities (which went way down). The other generations have much more exposure to the stock market at this point in their life.

You can clearly see that affect of the 2022 wealth decline if you look at the end of the line for Gen X. You can’t see the effect on Boomers, since I cut off the chart after the last Gen X comparable data, but they saw a big decline since 2021 as well: about 6% per capita, along with 7% for Gen X. Even so, Gen X is still about 18% wealthier on average than Boomers were at the same age.

Of course, even since the end of the second quarter of 2022, we’ve seen further declines in the stock market, with the S&P 500 down about 4%. And who knows what the next few months and quarters will bring. But as of right now, Millennials don’t seem to be doing much worse than their counterparts in other generations at the same age.

Get Easy Government-Guaranteed 4% Interest on Your Money with Treasury Bills

The interest paid on most bank checking and savings account is still very low.  Bank of America is paying 0.01-0.04% (i.e., practically zero) on savings accounts, and 0.05% (still nearly zero) on a 10-month CD. You can get over 2%, but mainly by opening an account with some little outfit  you have never heard of. Money market funds are offering a little over 2%.

Courtesy of the Fed and its rate-raising, the interest on 6-12 month Treasury bills is now around 4%. Here is a graph of all Treasury bill/bonds (interest rate versus how long till bonds mature). So: Instead of leaving money in a bank account or in your broker’s money market fund, I suggest you take that money, transfer it to a brokerage account (e.g. at Vanguard or Schwab or Fidelity for low fees);  then use that money to buy T-bills. Most brokerages have a simple, automated process for doing that.  Below I will list the complete steps for doing this at Vanguard. (Buying other types of bonds might be more involved).

Example: I bought $10,000 worth of six-month T-bills a couple of days ago. I paid $9,824 for them now (in September, 2022). I can redeem them for their face value of $10,000 in March, 2023. That works out to an annualized interest rate of about 3.8%. (It would have been 4.0 % if I went for a 12-month T-bill). These short-term T-bills do not pay monthly or quarterly interest. You get your interest benefit by buying them at a discount to the face value.

No matter what interest rates or the economy does between now and March, Uncle Sam guarantees that I will get my $10,000. If I want to cash out before then, I can just sell some or all of my T-bill holdings back into the market. Again, no matter what happens, I can pretty well count on getting my full money back.

This is obviously a bit more trouble than just buying share in a bond mutual fund or exchange traded fund (ETF). Why go to this extra trouble? My big reason is that with a bond fund, its value can slosh up or (these days mainly) down by a significant percentage. So you might put $10,000 in today, and have it worth only $9,500 in a couple of months. I don’t mind stock prices flopping up and down, but not with bonds that I might want to cash in at any time.           

If you buy say a longer-term bond, say a five-year Treasury bond, yes, you are guaranteed to collect the full face value in five years, but if you want to sell it into the market a year from now, you may find that its market value has gone down (or up) compared to what you paid for it, if interest rates have changed in the meantime. This adds a layer of uncertainty in managing your money. That is why I am recommending shorter-term (typically 1-year) T-bills.

One other comment on money management: for money you don’t think you will need for at least a year, one of the best places to put it is in U.S. government I-series savings bonds. These I-bonds pay whatever is the prevailing inflation rate, e.g., are paying now 9.6% (!!!). That is an astonishingly high yield for a government guaranteed bond.  Bonus: the interest on I-bonds, like the interest on T-bills and other federal obligations, is typically exempt from state and municipal income taxes.

After holding an I-bond for at least a year, you can cash out at any time for the face value. (There is a modest interest rate penalty for redeeming in less than five years). There are two minor hitches with I-bonds. One is that you have to open a “Treasury Direct” account with the Treasury to purchase (and redeem) I-bonds. No big deal, just another account to monitor and make up a password for. The other hitch is that you can only buy up to $10,000 per year of I-bonds. That said, you should go make the extra effort and put the first $10,000 of your bond-type savings into I-bonds.


Once you know how things flow, it only takes a few minutes to complete a purchase. Presumably other brokerages have similar procedures. ( There is a Treasury web site here which with a huge table of all T-bill maturities and current prices, but it’s probably easier to find what you are looking for in the Vanguard system).

( 1 ) On your main (“Holdings”)  display page for your account, choose Transact:

( 2 ) Select the “Trade Bonds or CDs” option

( 3 ) This will bring up a “Check rates and trade bonds” page. Choose your account you want to transact in, and click Continue.

( 4 ) Which brings you to the “Find brokered CDs and bonds” page. For 6-month T-Bills, click as marked in red below:

( 5 ) This brings you to the “Now, select which Treasury you want” page. For approximately six-month T-Bill , probably select the first one on the list (red arrow, below). As of trading day 9/23/2022, that one maturing 3/16/2023 was the closest to 6-months. Note that I paid $98.25 (per $100 face value) for this T-bill. It does not pay monthly interest, but it is guaranteed to be redeemed at $100 when it matures in six months. The effective annual interest rate on this transaction is 3.8%. After selecting which T-Bill, click Continue.

( 5  ) This brings you to the “Next, provide the amount you want to invest” page. Here you input how much money you put into this transaction. Since T-Bills come in denominations of $1000 or more, so you have to input thousand dollar amounts here. (e.g. $3000 or $12000, but not $4500).

What I’ve been reading

Inflammatory Political Campaigns and Racial Bias in Policiing

Simple, clever, poignant. I wish I’d thought of it.

Congressmen earn disproportionate returns in the stock market

File under: duh, but that doesn’t mean someone shouldn’t reinvestigate this every 12 months.

Pounds that Kill: The External Costs of Vehicle Weight

This is the kind of thing that basic economic theory combined with Force = Mass X Acceleration will get you all the way to the conclusion, but that doesn’t have a chance at affecting policy until someone credibly estimates the costs. These estimates are credible and they should effect policy. I’ll give you my takeway though: this matters more as we transition to electric vehicles. As the cost incentives of gasoline become a weaker constraint on vehicle size, we will need to introduce new ways to internalize the external costs. Obvious policy solution: tax vehicles by the pound.

Monopsony in the US Labor Market

I’m working on monopsony in the paper I’m presenting at Geoerge Mason University next week. This is the final published version of the paper that presents the bleeding edge of the research in question. You should come to my talk if you’re in town.

Lomborg’s public choice problem

I am a big fan of Bjørn Lomborg but not for the reasons you think. Most Lomborg fans highlight the Skeptical Environmentalist as their preferred work. I admire How to Spend $50 Billion to Make the World a Better Place. The logic in that book is elegantly simple for an economist as it argues for dealing with the world’s problems using cost-benefit analysis. After all, you cannot deal with every problem and priorities must be set according to which priority is most likely to generate massive benefits.

Obviously, some nuances can be made. For example, I am inclined to think that a sizable share (but not the majority) of the cost of climate change can be dealt with by encouraging economic development. As Richard Tol argued in this Review of Environmental Economics and Policy article, “poverty reduction complements greenhouse gas emissions reductions”. However, this criticism is one that alters the ranking of priorities only.

There is a deeper criticism that has been lurking in my mind since 2010. I never formulated it directly in link with Lomborg’s work even though I did include elements of this criticism in this published article of mine (see here in the Review of Austrian Economics). The criticism amounts to a simple point: can governments actually achieve the proposals in the book. Do they have the ability to intelligently invest $50 billion to fight communicable diseases? Would they be able to invest $50 billion to improve educational access? The answer may very well be “yes”, but no one has considered the risk of government failure in trying to organize the ranking of priorities to deal with. Essentially, this is the “public choice” criticism of Lomborg’s work (which does not require a stand on the climate change portion which has been the object of so many debates). This is not a trivial criticism as it could be that the ranking is all wrong or that the solutions are simply not politically accessible.

Since 2010, I have not seen any “public choice” criticism of Lomborg. Today, while writing this blog post, I spent a good hour trying to find a criticism in either peer-reviewed journals such as Public Choice, Journal of Public Finance and Public Choice and Constitutional Political Economy. None had such criticisms. Similarly, I tried looking at think tanks and newspaper. Again, I came up empty-handed.

If someone knows a piece that makes this case, send it my way. If you are a graduate student looking for an article to write, this might be a good idea!

Credit Card Limits for Men and Women

Yesterday Federal Reserve researcher Nathan Blascak presented a paper at my Economics Seminar Series that was a surprise hit, with the audience staying over 40 minutes past the end to keep asking questions. So today I’ll share some highlights from the paper, “Decomposing Gender Differences in Bankcard Credit Limits”

The challenge here is that its hard to get data that includes both gender and credit card limits (its illegal to use gender as a basis for allocating credit, so credit card companies don’t keep data on it, as they don’t want to be suspected of using it). The paper is original for managing to do so, by merging three different datasets. But even this merged data only lets them do this for a fairly specific subgroup- Americans who hold a mortgage solely in their name (not jointly with a spouse). Even this limited data, though, is quite illuminating.

Their headline result is that men have 4.5% higher credit limits than women. Women actually have slightly more credit cards (3.38 vs 3.22), but have lower limits on each card; summing up their total credit limit across all cards yields an average of $28,544 for women vs $30,079 for men.

Source: Table 1 of this paper

Two of the big factors that determine limits, and so could cause this difference, are credit scores and income. The table above shows that men and women have remarkably similar credit scores, while men have higher incomes. Still, when the paper tries to predict credit limits, controlling for credit scores, incomes, and other observables explains only about 13% of the gender gap.

Men have 4.5% higher credit limits on average, but this difference varies a lot across the distribution. For credit scores, the gap is narrow in the middle but bigger at the extremes. For income, we see that men get higher limits at higher incomes, but women actually get higher limits at lower incomes- and not just “low incomes”, women do better all the way up to $100,000/yr:

The papers data covers 2006-2018, so they also show all sorts of interesting trends. The average number of credit cards held by men and women plunged after the 2008 recession and remains well below the peak. Total credit limits plunged too, though they were almost totally recovered by 2018.

There’s lots more in the paper, which is a great example of the value of descriptive work with new data. If anything I’d like to see the authors push even harder on the distribution angle. Its nice to see how limits vary across all incomes and credit scores, but why not show the full distribution of credit card limits by gender? My guess is that the 1st and 99th percentiles are very interesting places, because there’s all sorts of crazy behavior at the extremes. Finally, I wonder if higher limits are actually a good thing once you get beyond a relatively low amount- do you know of anyone who ever had a good reason to get their personal credit card balances over $20,000?

Wealth Growth During the Pandemic

In the US wealth distribution, which group has seen the largest increase in wealth during the pandemic? A recent working paper by Blanchet, Saez, and Zucman attempts to answer that question with very up-to-date data, which they also regularly update at As they say on TV, the answer may shock you: it’s the bottom 50%. At least if we are looking at the change in percentage terms, the bottom 50% are clearly the winners of the wealth race during the pandemic.

chart created at

Average wealth of the bottom 50% increased by over 200 percent since January 2020, while for the entire distribution it was only 20 percent, with all the other groups somewhere between 15% and 20%. That result is jaw-dropping on its own. Of course, it needs some context.

Part of what’s going on here is that average wealth at the bottom was only about $4,000 pre-pandemic (inflation adjusted), while today it’s somewhere around $12,000. In percentage terms, that’s a huge increase. In dollar terms? Not so much. Contrast this with the Top 0.01%. In percentage terms, their growth was the lowest among these slices of the distribution: only 15.8%. But that amounts to an additional $64 million of wealth per adult in the Top 0.01%. Keeping percentage changes and level changes separate in your mind is always useful.

Still, I think it’s useful to drill down into the wealth gains of the bottom 50% to see where all this new wealth is coming from. In total, there was about $2 trillion of nominal wealth gains for the bottom 50% from the first quarter of 2020 to the first quarter of 2022. Where did it come from?

Continue reading

Doobies over Butts: More Americans Now Smoke Marijuana Than Cigarettes

Gallup has polled Americans for many decades about their smoking habits. About 40-45% of adults smoked cigarettes from about 1945-1975, but the percentage has dropped steadily since then. A 2022 poll showed a new low of 11% being smokers. Roughly three in 10 nonsmokers say they used to smoke.

On the other hand, marijuana usage has climbed steadily since Gallup first asked about it in 1969. Some 16% of Americans say they currently smoke marijuana, while a total of 48% say they have tried it at some point in their lifetime:

Younger adults (18-34) are much more likely to be current users, but the 55+ crowd tried it nearly as much (44%) as the younger cohorts:

Among all adults, opinion is about evenly split on whether marijuana has a positive or negative effect on society and on people who use it. However, opinion is skewed very positive among those who have actually tried it, and negative among those who have not:

(I can’t resist inserting a consistent anecdotal observation by reliable people I know or know of, that habitual smoking of MJ tends to be highly correlated with passivity / lack of initiative, especially among young men. When one young man I know of told his counselor, “Nothing happens [when I smoke weed]”, the response was, “That’s the problem, nothing happens [because with weed you just chill and don’t do the stuff you need to do].” Of course, correlation says nothing about the direction of causation here).

The big gorilla of substance usage is still alcohol. About 45% of Americans have had an alcoholic drink within the past week, while another 23% say they use it occasionally. Alcohol use has remained relatively constant over the years. The average percentage of Americans who have said they are drinkers since 1939 is 63%, which is close to Gallup’s most recent reading of 67%.