Long-run growth and welfare effects of public policies with distortionary taxation

In a one-sector growth model with infrastructure investment, we study the impact of fiscal policies on growth. The government collects taxes on labor income and profits. The government uses these revenues to purchase infrastructure investment, provide utility enhancing government services, and to provide transfer payments to the households. We show that the balanced growth rate is an increasing function of the percent of government revenues that goes to infrastructure. We find that the growth maximizing mix of taxes depends on the elasticity of substitution between inputs. In particular, with distortionary taxes, the growth maximizing tax rate on capital is higher the lower the elasticity of substitution between private physical capital and public capital. In addition, the growth maximizing size of the government is higher when the elasticity of substitution between public and private inputs is low. We also investigate welfare effects of other public expenditures as well. Depending on the elasticity of substitution in production, the welfare implications of different public policies can be substantial.     

Variable markups in the long-run: A generalization of preferences in growth models

This paper introduces variable markups in a horizontal-differentiation growth model by considering a larger class of preferences that nests the classic “CES” specification usually present in the workhorse love-for-variety models. Our first result is to obtain a generalized characterization of the Euler condition for this broader class of utility functions: in our model, the Euler rule features a supplementary term aiming at compensating the consumer for variations in the preference for variety along the consumption level. We are then also able to demonstrate that in our generalized framework, the economy’s balanced growth path displays both endogenous markups and a strictly positive growth rate of the number of available varieties (being the engine of growth). Finally, we show that under endogenous markups, the economy’s growth rate and firms’ market power can display a negative correlation, as opposed to the standard result obtained in the CES framework.     

Belief-driven growth slowdowns and zero-bounded risk-free rate

The literature presents mounting evidence that global long-run growth has been declining since the recession of 2008. Thus, to explore possible reasons for the growth slowdown and its risk-free rate and risk premium implications, this study constructs an endogenous growth model to examine the US economy before the 2008 recession and during the subsequent recovery period. The model features technological externalities that imply multiple perfect foresight balanced growth paths. In this setup, a change in agents’ beliefs may trigger persistent slumps, low interest rates, and elevated risk premium, consistent with the recent US experience. Numerically, using the Epstein and Zin preferences, the model calibration suggests that the historical data moments can be accommodated by persistent regimes and high intertemporal elasticity of substitution. Notably, the study’s simple-structured model with multiplicity and a regime-switching structure is a preliminary contribution to the field of economics, paving the way for future empirical studies.     

Socio-political instability and growth dynamics

We develop an overlapping generations (OLG) monetary endogenous growth model characterized by socio-political instability, with the latter being specified as a fraction of output lost due to strikes, riots and protests. We show that growth dynamics arise in this model when socio-political instability is a function of inflation. In particular, two distinct growth dynamics emerge, one convergent and the other divergent contingent on the strength of the response of socio-political instability to inflation. Since our theoretical results hinge on socio-political instability being a function of inflation, we test the prediction that inflation affects socio-political instability positively by using a panel of 156 countries for the 1980–2012 period, and allowing for country and time fixed effects. The results indicate that inflation relates positively with socio-political instability. Policy makers should be cognisant that it is crucial to maintain long-run price stability, as failure to do so may result in high inflation emanating from excessive money supply growth, leading to high (er) socio-political instability, and ultimately, the economy being on a divergent balanced growth path.     

Endogenous growth with addictive habits

In this paper, we investigate the global dynamics of an endogenous growth model with linear technology and addictive habits. We find feasible parameters’ conditions under which: (a) the resulting equilibrium consumption path is steeper than in a standard AK model; (b) endogenous fluctuations in the form of damping fluctuations around the balanced growth path emerge; (c) the Easterlin’s paradox emerges. The relevance of these results is explained comparing our findings with the results already known in the existing literature.     

Energy intensity and directed fiscal policy

This paper assesses the effects of fiscal policy on economy-wide energy intensity within an endogenous growth framework. To this end, we first develop a two-sector (investment good and consumption good) augmented AK model by integrating the Uzawa model with Rebelo’s AK model, and assume that a non-renewable resource is one of the factors of production. Using this framework, we solve the model for the short and long run, identifying the sufficient parameter conditions that ensure higher energy intensity in the investment goods sector. We then introduce a balanced budget government, whose objective is to decrease the economy-wide energy intensity by levying tax on the energy-intensive investment goods sector and subsidizing the consumption goods sector. Contrary to our expectations, we find that this fiscal policy design increases economy-wide energy intensity as it leads to a decline in real GDP without changing total energy consumption. On the basis of this model, we propose the concept of a ‘directed fiscal policy’, which connotes a reduction of the economy-wide energy intensity by following a heterogeneous taxation policy across sectors.     

Indeterminacy in a finance constrained unionized economy

We introduce labor unions and unemployment in a finance constrained monetary economy with heterogenous agents and productive labor externalities. We find that unions, introducing endogenous markup variability, influence the dynamics of the model. Although a lower bound for labor externalities is always required for indeterminacy, this lower bound decreases with union power when the elasticity of substitution between capital and labor is above one. For values of this elasticity below one, this result is reversed. We also show that Hopf bifurcations may occur as union bargaining power crosses a critical value. Finally, we find that unions increase simultaneously steady state employment, capital accumulation and welfare iff the (equilibrium) marginal productivity of labor is decreasing in employment.     

The golden rule of urban transportation investment

The purpose of this paper is to find an optimal taxation rule for transportation investment in an ever growing urban economy. First we dynamize a standard circular-city model with identical residents by introducing population growth and transportation improvements over time. Assuming that utility functions are of a constant-elasticity form and transportation investment is financed by an income tax, we prove the existence, uniqueness and stability of a balanced growth equilibrium for each given tax rate. Then, an optimal tax rate is determined so as to maximize the balanced growth equilibrium level of utility for every resident in the city. It is also shown that our simple rule remains valid in the case of two income classes.     

The effects of public spending externalities

We conduct a positive analysis on the effects of ‘externalities’ produced by government spending. To this effect, we estimate, using U.S. data, an RBC model with two salient features. First, we allow government consumption to directly affect the marginal utility of consumption. Second, we allow public capital to shift the productivity of private factors. We provide an identification analysis that supports the strategy adopted for estimating the parameters governing these two channels. On one hand, private and government consumption are robustly estimated to be substitute goods. Because of substitutability, labor supply reacts little to a government consumption shock, so the estimated output multiplier is much lower than in models with separabilities. On the other hand, our results point towards public investment being ‘unproductive’.     

The Dynamic Leontief Model and the Theory of Endogenous Growth

This paper shows that the dynamic Leontief model can be interpreted as a linear model of endogenous growth. The long-term rate of growth is determined within the economic system - either as the outcome of the saving and investment behaviour of agents or as the outcome of some planner's maximization of some objective function.     

Competitive equilibrium cycles with endogenous labor

In this paper, we study a two-sector optimal growth model with elastic labor supply. We show that the modified golden rule is saddle-point stable when the investment good is capital intensive. To characterize stability with a capital intensive consumption good, we focus on either additively separable or homothetic preferences. In the first specification, we show that optimal oscillations require the elasticity of intertemporal substitution in consumption to be high enough while the elasticity of labor needs to be low enough. At the same time, we prove that with a linear utility in leisure the modified golden rule is always saddle-point stable. In the second specification for preferences, we show that the local dynamic properties of the optimal path depend instead on the shares of consumption and leisure into total utility. We prove that endogenous fluctuations are even more likely with homothetic preferences.     

A two sector endogenous growth model with habit formation

In this paper, we study an endogenous growth model with physical and human capital in which consumption habits enter the utility function multiplicatively. We show that although the utility function with multiplicative habits is nonconcave and unbounded, an interior optimal growth path still exists, it is uniquely determined and it converges to a balanced growth path. We also find that habit formation in consumption lowers the convergence speed of the optimal path toward the balanced growth path.     

信贷内生扩张能力、投资外生收益冲击与价格波动——对我国投资与通胀关系的一个新的解释视角

本文从一个新的视角——信贷内生扩张能力和投资外生收益冲击,对我国近些年来的投资与通胀的关系进行了解释。具体分析过程是先建立一个信贷内生扩张约束条件下的厂商长期投资动态最优化模型,并给出一个有关投资外生收益对价格影响的命题。在此基础上,我们以中国为对象,对命题成立的三个条件进行了实证检验,并对其中两个关键条件成立的背后动因进行了分析,且给出了长期增长与政策含义。     

Production Technology Estimates and Balanced Growth

Capital‐labour substitution and total factor productivity (TFP) estimates are essential features of many economic models. Such models typically embody a balanced growth path. This often leads researchers to estimate models imposing stringent prior choices on technical change. We demonstrate that estimation of the substitution elasticity and TFP growth can be substantially biased if technical progress is thereby mis‐specified. We obtain analytical and simulation results in the context of a model consistent with balanced and near‐balanced growth (i.e. departures from balanced growth but broadly stable factor shares). Given this evidence, a constant elasticity of substitution production function system is then estimated for the US economy. Results show that the estimated substitution elasticity tends to be significantly lower using a factor‐augmenting specification (well below one). We are also able to reject conventional neutrality forms in favour of general factor augmentation with a non‐negligible capital‐augmenting component. Our work thus provides insights into production and supply‐side estimation in balanced‐growth frameworks.     

信贷内生扩张能力、投资外生收益冲击与价格波动——我国投资与通胀关系的一个新的解释视角

本文从一个新的视角--信贷内生扩张能力和投资外生收益冲击,对我国近些年来的投资与通胀的关系进行了解释.具体分析过程是先建立一个信贷内生扩张约束条件下的厂商长期投资动态最优化模型,并给出一个有关投资外生收益对价格影响的命题.在此基础上,我们以中国为对象,对命题成立的三个条件进行了实证检验,并对其中两个关键条件成立的背后动因进行了分析,且给出了长期增长与政策含义.     

On the closed-form solution of an endogenous growth model with anticipated consumption

This paper derives a closed-form solution of the AK endogenous growth model with logarithmic preferences and anticipated future consumption which enters additively into effective consumption. We get an explicit representation of the time paths of the economic variables in level by resorting to Gaussian Hypergeometric functions. We compare the model with anticipated future consumption to the model with habit formation. The maximum utility attainable in the model with anticipation is shown to be higher than the one attainable in the model with habits. Using the derived explicit expressions, we perform some comparative-dynamics and -statics analyses with respect to relevant parameters. Numerical simulations complement the theoretical results. Thus, this work provides further support to the usefulness of especial functions in the study of economic dynamics.     

技术外溢与吸收能力:基于开放经济下的内生增长模型分析

通过构建中间产品种类扩张型的内生增长模型，本文探讨了开放经济条件下技术外溢与本国技术吸收能力影响长期经济增长的内在机理。对模型的竞争性市场均衡分析得到了均衡增长路径的稳态增长率，并就解的政策含义进行了讨论。模型的基本结论是：技术吸收能力的提高、人力资本积累以及适度的知识产权保护有利于长期经济增长，然而贸易开放度、技术水平差距对稳态增长率的影响效应具有不确定性。     

THE DECADES‐LONG DISPUTE OVER SCALE EFFECTS IN THE THEORY OF ECONOMIC GROWTH

The so‐called “new growth theory” is characterized by the now Nobel Prize winning insight that ideas are a nonrival input to and output from endogenous investment in innovation. Nonrivalry implies increasing returns to scale, but this also unintentionally creates an empirically disputed scale effect that a growing population implies an ever‐increasing growth rate. Empirical evidence supports fully‐endogenous growth without scale effects, but theoretical issues sustain the decades‐long dispute over exactly how to negate the scale effect. This article surveys theoretical approaches to resolving the scale effect and shows how four generations of endogenous growth theory are defined by the maturing of modeling techniques for constraining increasing returns. The synthesis suggests that the dispute over scale effects is really a narrative about how the powerful application of increasing returns has followed a standard theoretical development pattern. This implies that a fourth generation is now emerging that negates the scale effect while retaining fully‐endogenous growth without relying on assumptions of linearity. Instead, the market response to excessive increasing returns to innovation constrains explosive growth by expanding the market, rather than by a linear assumption. This latest class of endogenous growth models may be the final chapter to resolving the long‐running dispute.     

Risk aversion in a model of endogenous growth

Despite the evidence on incomplete financial markets and substantial risk being borne by innovators, current models of growth through creative destruction predominantly model innovators’ as risk neutral. Risk aversion is expected to reduce the incentive to innovate and we might fear that without insurance innovation completely disappears in the long run. The present paper introduces risk averse agents into an occupational choice model of endogenous growth in which insurance against failure to innovate is not available. We derive a clear negative relationship between the level of risk aversion and long run growth. Surprisingly, we show that in an equilibrium there exists a cut-off value of risk aversion below which the growth rate of the mass of innovators tends to a strictly positive constant. In this case, innovation persists on the long run and consumption per capita grows at a strictly positive rate. On the other hand, for levels of risk aversion above the cut-off value, the economy eventually stagnates.     

Wants and past knowledge: Growth cycles with emerging industries

This paper develops a theory of endogenous growth cycles focusing on the interaction between consumers' desire to satisfy an indefinite range of wants and firms' incentive to utilize knowledge from past production experiences. We show that firms endogenously form a number of distinguishable industries as accumulated knowledge induces them to agglomerate in the technology space. Knowledge accumulation in existing industries reduces production costs, but, as the diminishing returns from learning sets in, some firms start to adopt previously unexplored technologies so that their new goods fit consumers' unsatisfied wants and attract large demand. Thus, sporadic emergence of new industries generates growth cycles, where both the timing and the new technology to be adopted are endogenously determined. New industries based on new technology reduce the rate of per capita GDP growth in the initial phase, but nonetheless are indispensable for sustained economic growth in the long run.