A microfoundation for normalized CES production functions with factor-augmenting technical change

Based on a tractable “endogeneous technology choice” framework, we provide a microfoundation for aggregate normalized constant elasticity of substitution (CES) production functions with non-neutral, factor-augmenting technical change. In this framework, firms are allowed to choose unit productivities of capital and labor optimally from a technology menu constructed under the assumption that unit factor productivities (UFPs) are independently Weibull-distributed. The Weibull distribution itself is also microfounded here: based on extreme value theory, it is found to be an accurate and robust approximation of the true UFP distribution if technologies consist of a large number of complementary components.     

The World Technology Frontier: What Can We Learn from the US States?*

We re‐estimate the world technology frontier non‐parametrically using a dataset covering OECD country‐level data and US state‐level data on GDP per worker and the stocks of physical capital, unskilled labour and skilled labour. The auxiliary use of US state‐level data significantly reduces the upward bias in cross‐country estimates of technical efficiency, and so does allowing for imperfect substitutability between skilled and unskilled labour. We then use our adjusted estimate of the world technology frontier in a series of decompositions of productivity differences and sources of economic growth in the OECD in 1970–2000, including also ‘appropriate technology vs. efficiency’ decompositions.     

Knife-edge conditions in the modeling of long-run growth regularities

Balanced (exponential) growth cannot be generalized to a concept which would not require knife-edge conditions to be imposed on dynamic models. Already the assumption that a solution to a dynamical system (i.e. time path of an economy) satisfies a given functional regularity (e.g. quasi-arithmetic, logistic, etc.) imposes at least one knife-edge assumption on the considered model. Furthermore, it is always possible to find divergent and qualitative changes in dynamic behavior of the model – strong enough to invalidate its long-run predictions – if a certain parameter is infinitesimally manipulated.     

A new class of production functions and an argument against purely labor‐augmenting technical change

This paper derives the macro‐level production function from idea‐based microfoundations. Labor‐augmenting and capital‐augmenting developments are assumed to be Pareto‐distributed and mutually dependent. Using the Clayton copula family to capture this dependence, a new “Clayton–Pareto” class of production functions is derived that nests both the Cobb–Douglas and the constant elasticity of substitution. In the most general case, technical change is not purely labor‐augmenting over the long run, but it augments both capital and labor. Under certain parametrizations, the derived elasticity of substitution between capital and labor exceeds unity and, therefore, gives rise to long‐run endogenous growth.     

Beyond the Linearity Critique: The Knife-edge Assumption of Steady-state Growth

The “linearity critique” of endogenous growth models is presented in a general context of an arbitrary growth model and reassessed. It is argued that presence of linearities is not a valid criterion for rejecting growth models. Existence of exponential/geometrical steady-state growth (i.e. of a balanced growth path with strictly positive growth rates) necessarily requires some knife-edge condition which is not satisfied by typical parameter values. Hence, balanced growth paths are fragile and sensitive to smallest disturbances in parameter values. Adding higher order differential/difference equations to a model does not change the knife-edge character of steady-state growth.     

WILL THE “TRUE” LABOR SHARE STAND UP? AN APPLIED SURVEY ON LABOR SHARE MEASURES

Labor's share of income is a key variable in economics. It plays a leading role in analysis of (in)equality, globalization, technical change, growth theories, etc. Notwithstanding this broad application, there are many different definitions of the labor share. Understanding and synthesizing those differences is the purpose of this applied survey. Empirical measures may vary reflecting the allocation of income components that cannot be directly ascribed to capital or labor. We examine the alternative assumptions made in the literature in this regard and quantify and motivate the resulting discrepancies. Focusing (mostly) on US data, we show that different measures can have very distinct properties in terms of the observed stochastic trends, shares of short‐, medium‐, and long‐run variation and volatilities, persistence and mean‐reversion properties, and susceptibility to structural breaks. For instance, while “short‐run” properties of the surveyed labor share measures are relatively consistent across all definitions (and countercyclical), their “medium‐” and “long‐run” trends may diverge substantially (and are procyclical). To substantiate our analysis, we document the implications of discrepancies in the empirical labor share definition for growth accounting, analyzing the effect of technology shocks, and for estimating inflation dynamics.     

Production functions and distributions of unit factor productivities: Uncovering the link

We derive a reversible “endogenous technology choice transform,” according to which firm-level production functions and distributions of unit factor productivities are two sides of the same coin. The Cobb–Douglas function relates to Pareto distributions, and the CES to Weibull distributions.     

Poland’s uninterrupted growth performance: new growth accounting evidence

Since 1992 Poland has experienced an exceptionally long spell of output growth that was not interrupted even by the global economic crisis. Using a growth accounting exercise based on new estimates of flows of capital and labour services in the Polish economy during the period 1996–2013, we study the structure of this growth, highlighting the key role of certain supply-side factors. Most notably, unlike other European countries, the Polish economy recorded both a marked increase in capital deepening, a big improvement in workforce composition (driven mostly by educational attainment), and an uninterrupted process of productivity convergence. We also comment on the supply-side factors which contributed to Poland’s relative resilience to the global economic crisis of 2007–2010.     

The contribution of immigration from Ukraine to economic growth in Poland

Review of World Economics - From 2014 onwards Poland witnessed an unprecedented inflow of immigrant workers from Ukraine. Coupled with strong labour demand, this surge in labour supply provided a...