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Working Paper
An Assignment Model of Knowledge Diffusion and Income Inequality
Randomness in individual discovery tends to spread out productivities in a population, while learning from others keeps productivities together. In combination, these two mechanisms for knowledge accumulation give rise to long-term growth and persistent income inequality. This paper considers a world in which those with more useful knowledge can teach those with less useful knowledge, with competitive markets assigning students to teachers. In equilibrium, students who are able to learn quickly are assigned to teachers with the most productive knowledge. The long-run growth rate of this ...
Working Paper
Spatial Structural Change
Between 1880 and 1920, the US agricultural employment share fell from 50% to 25%. However, despite aggregate demand shifting away from their sector of specialization, rural labor markets saw faster wage growth and industrialization than non-agricultural parts of the US. We propose a spatial model of the structural transformation to analyze the link between aggregate structural change and local economic development. The calibrated model shows that rural areas adapted to the decline of the agricultural sector by adopting technologies already in use in urban locations. Without such catchup ...
Report
Jacks of All Trades and Masters of One: Declining Search Frictions and Unequal Growth
Declining search frictions generate productivity growth by allowing workers to find jobs for which they are better suited. The return of declining search frictions on productivity varies across different types of workers. For workers who are "jacks of all trades" in the sense that their productivity is nearly independent from the distance between their skills and the requirements of their job—declining search frictions lead to minimal productivity growth. For workers who are "masters of one trade" in the sense that their productivity is very sensitive to the gap between their individual ...
Working Paper
Has Intergenerational Progress Stalled? Income Growth Over Five Generations of Americans
We find that each of the past four generations of Americans was better off than the previous one, using a post-tax, post-transfer income measure constructed annually from 1963-2022 based on the Current Population Survey Annual Social and Economic Supplement. At age 36–40, Millennials had a real median household income that was 18 percent higher than that of the previous generation at the same age. This rate of intergenerational progress was slower than that experienced by the Silent Generation (34 percent) and Baby Boomers (27 percent), but similar to that experienced by Generation X (16 ...
Working Paper
Four Models of Knowledge Diffusion and Growth
This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning. In a large economy, there is a continuum of long-run growth rates and associated stationary distributions when it is possible to learn from individuals in the right tail of the productivity distribution. What happens in the long run depends on initial conditions. Two distinct literatures, one on reaction-diffusion equations, and another on quasi-stationary distributions suggest a unique long-run outcome when the initial productivity distribution ...
Working Paper
State Capacity and Public Goods: Institutional Change, Human Capital, and Growth in Early Modern Germany
What are the origins and consequences of the state as a provider of public goods? We study legal reforms that established mass public education and increased state capacity in German cities during the 1500s. These fundamental changes in public goods provision occurred where ideological competition during the Protestant Reformation interacted with popular politics at the local level. We document that cities that formalized public goods provision in the 1500s began differentially producing and attracting upper tail human capital and grew to be significantly larger in the long-run. We study ...