Lukas Püttmann    About    Blog

German incomes in 2014

Here’s a booklet by the German Statistical Office on incomes in Germany in 2014:

  • Mean gross income was 3441 euros for full time employees. I couldn’t find the median anywhere, but eyeballing the graph it looks to be about 2500 Euros.

    Income distribution Germany 2014

  • Income differences between East and West are still quite pronounced. Compare Hessen and Thüringen, for example. The following shows hourly gross incomes by states:

    Hourly gross pay by German state 2014

  • The minimum wage is the same across Germany, so how binding it is varies depending on the local income level. Here’s the minimum wage relative to mean income across states:

    Relative size minimum wage across German states 2014

  • 6% of gross hourly income differences between men and women cannot be explained by observable characteristics.
  • Incomes for women flatten after childbirth. The following are gross hourly incomes (blue for men, yellow for women, the black line is the average age of the mother at the birth of the first child):

    Income age profiles by Gender Germany 2014

  • Germany taxes households, not individuals which subsidizes families where only one parent works. Singles keep about 60% of their gross income and for families with two children and one working parent net incomes are about 70% of gross incomes.


Collected links

  1. A Fine Theorem on David Donaldson winning the John Bates Clark Medal:

    Donaldson’s CV is a testament to how difficult this style of work is. He spent eight years at LSE before getting his PhD, and published only one paper in a peer reviewed journal in the 13 years following the start of his graduate work. “Railroads of the Raj” has been forthcoming at the AER for literally half a decade, despite the fact that this work is the core of what got Donaldson a junior position at MIT and a tenured position at Stanford. Is it any wonder that so few young economists want to pursue a style of research that is so challenging and so difficult to publish? Let us hope that Donaldson’s award encourages more of us to fully exploit both the incredible data we all now have access to, but also the beautiful body of theory that induces deep insights from that data.

  2. Jonathan Taplin in the New York Times: “Is It Time to Break Up Google?”:

    At a minimum, these companies should not be allowed to acquire other major firms, like Spotify or Snapchat.

  3. Hunter Clark, Maxim Pinkovskiy, and Xavier Sala-i-Martin: “Is Chinese Growth Overstated?
  4. John J. Horton: “A Way to Potentially Harm Many People for Little Benefit”:

    I spent 5 years in the Army as a tank platoon leader & company executive officer, after 4 years at West Point. Of my active duty time, 15 months were spent in Iraq (Baghdad and Karbala). It was, without a doubt, the worst experience of my life—nothing else even comes close, and I got off easy.

  5. Nate Silver on whether polling errors have become more common and differences between Trump and Le Pen:

    Ironically, the same type of sloppy thinking that led people to underestimate the chances for the Trump and Brexit victories may lead them to overestimate Le Pen’s odds.

  6. Philip Guo: “Five Years After My Ph.D. Thesis Defense

Roy model

In David Autor’s lecture notes on the Roy model he walks us through the migration choice model by Borjas (1987). In this model, agents decide between staying in the source country or migrating to a host country. The log wages in the source country () and in the host country () are given by:

The wage shocks and are drawn from a multivariate normal distribution and are correlated. The agents know all of these values and wages don’t adjust.

In Matlab, let’s simulate a number of agents:

N = 5000;  % number agents
c = 0.5;   % correlation between wage shocks

% Draw wage shock (correlated across countries)
SigmaInd = [1 c; c 1];          
z = mvnrnd([0 0], SigmaInd, N);

sigma0 = 30; % standard deviation wages source country
eps0 = z(:,1) * sigma0;

sigma1 = 100; % standard deviation wages host country
eps1 = z(:,2) * sigma1;

% Wages in source country
mu0 = 100;
w0 = mu0 + eps0;

% Wages in host country
mu1 = mu0;
w1 = mu1 + eps1;

We leave the two means and equal and concentrate on the effect of the relative standard deviations and the correlation. Next, we impose a cost of emigrating that rises in the source country wage and then check which agent wants to emigrate:

cost = 0.3 * w0; % cost rises in home country wages

% Choice
ixMigrate = (w1 - w0 > cost);

We can then make the following plot:

Roy model, positive hierarchical sorting

Every dot is one agent. The x-axis shows their source country wages and the y-axis their host country wages. The cloud of dots is centered on (100, 100).

Agents marked red choose to emigrate and agents marked blue choose to stay. The slope of the line separating the red and blue dots is steeper, the higher cost of moving we pick.

Autor shows that there are three cases for migration. With the current settings in the simulation, we get positive hierarchical sorting. This comes about if the wage shocks are sufficiently positively correlated across countries and the wage distribution is more dispersed in the host country than in the source country. Then, only the most productive will migrate. Those who migrate have above-average wages in both the source and the host country.

We get negative hierarchical sorting, if we change sigma0 = 100 and sigma0 = 30:

Roy model, negative hierarchical sorting

The wage shocks still need to be positively correlated across countries, but now the wages in the host country are more compressed than in the source country. Now, only less productive agents will migrate and emigration acts as an insurance. In this case, the mean wages (of those who choose to emigrate) is below the average of 100 in both countries.

The last case is refugee sorting, where the wage shocks are negatively correlated, so agents are below the mean income in the source country, but above the mean income in the host country. Set c = -0.5, sigma0 = 100 and sigma1 = 100 to get:

Roy model, refugee sorting

Here, migrants go from below-average wages in the source country to above-average wages in the host country. This could be the case if highly productive people are suppressed in their home countries.

Autor concludes with:

The growing focus of empirical economists on applying instrumental variables to causal estimation is in large part a response to the realization that self-selection (i.e., optimizing behavior) plagues interpretation of ecological relationships. […] But instrumental variables are not the only answer to testing cause and effect with observed data. Self-selection also points to the existence of equilibrium relationships that should be observed in ecological data […], and these can be tested without an instrument. In fact, there are some natural sciences that proceed almost entirely without experimentation — for example, astrophysics. How do they do it? Models predict nonobvious relationships in data. These implications can be verified or refuted by data, and this evidence strengthens or overturns the hypotheses. Many economists seem to have forgotten this methodology.

Collected links

  1. A question from Chris Blattman’s midterm:

    Suppose, in 1900, Nate Silver wanted to build a model for predicting autocracy—that is, which countries in the world would end up more or less democratic in 2000. Knowing everything you know today, what do you think would be the five most influential variables that would help Nate predict dictatorship versus democracy? These can be historical, geographic, cultural, political, economic, or something else—it is entirely up to you. They just have to be 1900 or pre-1900 measures. And you must justify your choice of these five variables and link them to the readings or lecture material.

  2. Rachel Laudan “I’m a Happy Food Waster”:

    It would be wonderful if the “don’t waste” value never clashed with other values such as safety, health, taste, choice, respect, and financial sense.

    Life’s not like that. Values clash all the time. Behaving well as an adult means making choices about which values are most important.

  3. Michael Nielsen on the tradeoff between accuracy and desirability

  4. Ricardo Reis:

    On top of this, asking an active researcher in macroeconomics to consider what is wrong with macroeconomics today is sure to produce a biased answer. The answer is simple: everything is wrong with macroeconomics. […] Researchers are experts at identifying the flaws in our current knowledge and in proposing ways to fix these. That is what research is.

    [...]

    There is something wrong with a field when bright young minds no longer find its questions interesting, or just reproduce the thoughts of close-minded older members. There is something right with it when the graduate students don’t miss the weekly seminar for work in progress, but are oblivious of the popular books in economics that newspapers and blogs debate furiously and tout as revolutionizing the field.

Joseph Henrich on modern causal reasoning

[E]ducated Westerners are trained their entire lives to think that behaviors must be underpinned by explicable and declarable reasons, so we are more likely to have them at the ready and feel more obligated to supply “good” reasons upon request. Saying “it’s our custom” is not considered a good reason. The pressure for an acceptable, clear, and explicit reason for doing things is merely a social norm common in Western populations, which creates the illusion (among Westerners) that humans generally do things based on explicit causal models and clear reasons. They often do not.

This is by Joseph Henrich in his book “Secret of Our Success: How Culture Is Driving Human Evolution, Domesticating Our Species, and Making Us Smarter”.

He contrasts this world view with traditional societies that follow rituals derived from cultural evolution that have a purpose, but people don’t know what it is. Henrich discusses the example of a Fidjian island, where women avoid eating sharks and eal when pregnant. This makes sense, as it avoids a food poison that could threaten the baby. But when they asked the women why that is, they came up with various reasons and none were right.

Coding interviews

When interviewing for programmer positions, why do people have to solve algorithmic questions on whiteboards that have little resemblance to what people will do in their job?

Here is Gayle Laakmann McDowell in “Cracking the Coding Interview”:

  1. False negatives are acceptable, but false positives aren’t.

    [The firm is] far more concerned with false positives: people who do well in an interview but are not in fact very good.

  2. Problem-solving skills are valuable.
  3. Basic data structure and algorithm knowledge is useful.

    Other interviewers justify the reliance on data structures and algorithms by arguing that it’s a good “proxy.”

  4. Whiteboards let you focus on what matters.

    Whiteboards also tend to encourage candidates to speak more and explain their thought process. When a candidate is given a computer, their communication drops substantially.

  5. But it’s not for everyone or every company or every situation.

This actually reminds me of consulting interviews.

I picked up the book as I was curios what a programmer is expected to know. You might also like the book if you enjoy solving coding puzzles and the general interviewing advice is good. The book also has a nice introduction to the big O notion of computational complexity.

The examples are usually written in Java, but just knowing Matlab or some other language it’s easy to understand what the code does.

"2001: A Space Odyssey", by Arthur C. Clarke

This book is what I imagine Elon Musk dreams after reading the Martian, Superintelligence and Faust.

Clarke wrote it in 1968 in conjunction with the movie of the same name by Stanley Kubrick and he’s prescient of technological developments:

When he tired of official reports and memoranda and minutes, he would plug his foolscap-sized Newspad into the ship’s information circuit and scan the latest reports from Earth. One by one he would conjure up the world’s major electronic papers; he knew the codes of the more important ones by heart, and had no need to consult the list on the back of his pad.

[...]

The text was updated automatically on every hour; even if one read only the English versions, one could spend an entire lifetime doing nothing but absorbing the ever-changing flow of information from the news satellites.

[...]

There was another thought which a scanning of those tiny electronic headlines often invoked. The more wonderful the means of communication, the more trivial, tawdry, or depressing its contents seemed to be.

And I also like this line:

The truth, as always, will be far stranger.

Collected links

  1. Johannes Mauritzen reviews Tim Harford’s “Messy”:

    I enjoyed this book - it is a delightful page-turner. I am also sympathetic to the main argument. The world is a messy, complicated place, and nice neat solutions, while seemingly satisfying, can have unintended consequences. But, perhaps fittingly, the book itself sometimes felt a bit messy, with only faint connections between the chapters and subjects. I recognised some of the serious ideas that lie behind many of the stories Hatford tells. But these ideas —upon inspection— are often distinct from each other. I haven’t quite decided whether pulling them together under the banner of “messy” is appropriate. Finally, I suspect that readers looking for advice on “how to succeed at life”, may be advised to look elsewhere.

  2. Noah Smith: “Anti-empiricism is not humility”. And The Undercover Historian (Beatrice Cherrier): “How much do current debates owe to conflicting definitions of economics?”:

    I’m thus left wondering to what extent current debates about the state of economics are nurtured by conflicting definitions of economics. Here’s my speculation: those economists who believe the shape of economics is good usually endorse the rational decision definition. Yet in the past decades, they have shifted toward a tool-box vision of their practices. They thus view interdisciplinarity as tool exchanges. Meanwhile, critics are pushing back toward a definition of economics that was in wide currency in the early XXth century, one concerned with understanding the economy as a system of production and distribution, one rooted in capitalist accumulation, technological change, etc. They believe economists should borrow from other scientists whatever models, concepts and theories will improve their understanding of how the economy works.

  3. Edward Tuft on “Displaying estimates +/- error, confidence bounds”.
  4. Lucas, Nicolini and Weber:

    Over the last three decades, most economists and central bankers have come to doubt the usefulness of money supply measures for conducting monetary policy, and have turned to macroeconomic models in which monetary aggregates have no role.

    [...]

    In a recent paper, using a specific, narrow monetary aggregate, M1, we study a dataset comprising 32 countries since the mid-19th century (Benati et al. 2016). The main finding of this large-scale investigation is that, contrary to conventional wisdom, in most cases statistical tests do identify with high confidence a long-run equilibrium relationship between either M1 velocity and a short-term interest rate, or M1, GDP, and a short rate – that is, a long-run money demand.

  5. Tyler Cowen:

    It was to be an intellectual paradise. What we got was…the blogosphere. Still a paradise of sorts! And free. But not a scientific paradise.

  6. Sindre Sorhus: “Mac OS tips and tricks

  7. Dietrich Vollrath’s insightful discussion of the construction of capital output shares and the special role that owner-occupied housing plays in it:

    The total amount of GDP getting paid to owners of homes is rising over time (Rognlie). But at the same time, the required rate of return on capital is falling (Barkai and BLS), which means that the profits on owner-occupied housing must be rising.

    What do I mean by profits? Remember that these are economic profits, not accounting profits. Owners of homes are not seeing an increase in their cash flow. […]. Those economic profits are coming in the form of a higher imputed flow of GDP from my house over time. This implicit flow of value, a rent I’m charging myself, is getting cranked upwards over time, even if I don’t see it.

    [...]

    The implications of an increasing profit share coming from owner-occupied housing are a lot different from the implications of an increasing profit share coming from corporate market power or concentration.

    Update: Here.

"It’s a weird place man."

Malcolm Gladwell interviews Michael Lewis on “The Undoing Project”, the book on Daniel Kahneman and Amos Tversky’s friendship (slightly edited):

Gladwell: This is the first book where you explore academia.

Lewis: It’s a weird place man. It’s really is odd. It reminded me a little bit of Hollywood, watching these movies get made. They spend three, four our five months making the movie and then eight months in award season, celebrating each other. They spend so much time celebrating each other, they don’t have time to make the movies. […]

In all arenas of ambition, the people are very status-conscious in them. This is true of Wall Street, this is true in Washington, but the way that people are so sensitive about their stature in their community - the only thing I’ve seen like it was in Hollywood. Academics spend a lot of time telling each other what geniuses they are. And at the dullest possible kind of events.

And the other thing that’s odd about them is that they write all these kind of papers that really aren’t meant to be read. They aren’t written to engage a reader. […] They’re written in a defensive crouch. They are written to survive their readers. […] I felt so sorry for academics by the end of the thing. (link)