Friedman meets Becker and Mulligan in a monetary neoclassical growth model

We study a neoclassical growth model with the time preference determined by resources spent on imagining future pleasures along the line of Becker and Mulligan (Q J Econ 112:729–758, 1997). We introduce money into the economy via a cash-in-advance constraint and study the effect of higher seignorage taxes or higher monetary growth rates on capital, consumption and welfare in the long run. We find that if the fraction of investment constrained by cash is smaller than a threshold, the negative-monetary-growth Friedman (The Optimum Quantity of Money and Other Essays, 1969) rule does not hold and the optimal inflation rate is positive. Calibrating our model yields a mild optimal inflation rate per annum with a switch from zero inflation to optimal inflation creating a sizable welfare gain in terms of consumption equivalence.     

Technological-knowledge bias and the industrial structure under costly investment and complementarities

We develop an extended directed technological change model with vertical and horizontal R&D to analyze the economic growth rate, the technological-knowledge bias and the industrial structure, assuming: (i) complementarities between intermediate goods, and (ii) internal costly investment. We find that complementarities directly affect long-run technological-knowledge bias and relative production, both elements influence the economic growth rate and neither affects the skill premium and the relative number of firms. We also verify that the relationship between the relative supply of skills and both economic growth and the industrial structure suggested by our model is qualitatively consistent with recent empirical data for a number of developed countries.     

Growth and optimal policies in an R&D-growth model with imperfect international capital mobility

In this paper, we examine the effects of international capital mobility on innovation, growth, and optimal growth policies in a small open economy with R&D-driven growth. Households can borrow funds from an imperfect international capital market to finance their investment in R&D firms. We show that the economy can reach a higher growth rate if international capital is more mobile. This result is consistent with recent empirical findings. Moreover, we show that the common growth-enhancing policies, such as patent protection and the R&D subsidies, have an additional negative welfare effect when households can access the international capital market. Accordingly, the optimal patent protection and R&D subsidy should be smaller when the degree of international capital mobility is higher.     

Can a larger market foster R&D under monopolistic competition with variable mark-ups?

We study monopolistic competition with symmetric directly additive preferences (generating variable mark-ups) and an endogenous technology choice. Each firm chooses an investment in R&D to decrease its marginal cost. We prove that the equilibrium R&D investment increases with market size (a larger population or trade) only if the price-elasticity of demand is an increasing function. Together with the output levels, such equilibrium investments may be socially excessive or insufficient, depending on whether the elasticity of the subutility is increasing or decreasing. The main implication is that opening up to free trade can foster R&D through variable mark-ups.     

A multi-region model of economic growth with human capital and negative externalities in innovation

We use a multi-region model and provide the first theoretical analysis of the effects of human capital use and a particular kind of innovative activity on economic growth. In each of the N heterogeneous regions in our model, consumers have constant relative risk aversion preferences, there are negative externalities in innovation, and there are three kinds of manufacturing activities involving the production of blueprints for inputs or machines, the inputs or machines themselves, and a single final good for consumption. Our analysis generates four salient findings. First, for each of the N regions, we define a balanced growth path equilibrium, we characterize the market clearing factor prices, and we determine the free entry condition in the R&D sector. Second, we show that without growth in human capital, there is no sustained economic growth in any of the N regions. Third, we show that human capital growth generates sustained economic growth in each of the N regions. Finally, when discussing the above three findings, we shed light on the spatial dimensions of economic growth in our multi-region aggregate economy.     

The creative class, its preferences, and unbalanced growth in an urban economy

We theoretically analyze unbalanced growth in an urban economy arising from the preferences of the creative class concerning the relative desirability of agricultural, manufacturing, and service goods. We study two cases. In the first case, the production functions for the three categories of goods are identical. Our analysis leads to four results. First, we compute the equilibrium physical to creative capital ratios and the relationships between the neutral productivity shifters and the output prices. Second, we show that agricultural and services consumption are a constant multiple of manufacturing consumption. Third, we note that under certain conditions, an equilibrium in which all sectors of our urban economy grow at a constant rate does not exist. Fourth, we show that a constant growth path (CGP) equilibrium exists in which, across the three sectors, the pattern of consumption changes and there is a reallocation of creative capital. In the second case, the production functions for the three categories of goods are dissimilar. In this more realistic setting, we study generalizations of the previously described four results.     

Lotteries, Sunspots, and Incentive Constraints

We study a prototypical class of exchange economies with private information and indivisibilities. We establish an equivalence between lottery equilibria and sunspot equilibria and show that the welfare and existence theorems hold. To establish these results, we introduce the concept of the stand-in consumer economy, which is a standard, convex, finite consumer, finite good, pure exchange economy. With decreasing absolute risk aversion and no indivisibilities, we prove that no lotteries are actually used in equilibrium. We provide a simple numerical example with increasing absolute risk aversion in which lotteries are necessarily used in equilibrium. We also show how the equilibrium allocation in this example can be implemented in a sunspot equilibrium. Journal of Economic Literature Classification Numbers: D11, D50, D82.     

The Political Economy of Environmental Taxes with an Aging Population

This paper develops a two-period overlapping-generations model with environmental externalities and uncertain lifetimes, and studies how two sources of population aging, greater longevity and a lower rate of population growth, affect the politically determined environmental tax and the quality of the environment. It is shown that greater longevity and a lower rate of population growth have entirely different effects on these factors; greater longevity has no effect on the environmental tax and has a non-positive effect on the environmental quality, whereas a lower rate of population growth has a negative effect on the tax and has a positive effect on the quality. In addition, the political decision-making on the tax leads to an inefficient allocation of capital and environmental quality.JEL classifications: D72, D78, D91, H41, O40, Q20, Q28     

The inflationary bias of real uncertainty and the harmonic Fisher equation

Summary. We argue that real uncertainty itself causes long-run nominal inflation. Consider an infinite horizon cash-in-advance economy with a representative agent and real uncertainty, modeled by independent, identically distributed endowments. Suppose the central bank fixes the nominal rate of interest. We show that the equilibrium long-run rate of inflation is strictly higher, on almost every path of endowment realizations, than it would be if the endowments were constant.Indeed, we present an explicit formula for the long-run rate of inflation, based on the famous Fisher equation. The Fisher equation says the short-run rate of inflation should equal the nominal rate of interest less the real rate of interest. The long-run Fisher equation for our stochastic economy is similar, but with the rate of inflation replaced by the harmonic mean of the growth rate of money.Received: 25 February 2005, Revised: 26 May 2005, JEL Classification Numbers: C7, C73, D81, E41, E58.An earlier version of this paper “Inflationary Bias in a Simple Stochastic Economy,” as a 2001 Cowles Foundation Discussion Paper No. 1333.     

Optimal Environmental Management in the Presence of Irreversibilities

We consider an environment of a fixed size that can be converted to another use. This conversion can be made in steps, but it is irreversible. The future benefits (per unit) from the original use, and from the alternative use, follow a diffusion process. For a fairly general case, we show that the value function must be the unique (viscosity) solution to the associated Hamilton-Jacobi-Bellman equation. We also exhibit several properties of the solution for the case of constant relative risk aversion between 0 and 1, and a log-linear diffusion for the benefits. Journal of Economic Literature Classification Numbers: C61, D90, Q30.     

Beliefs and Pareto Efficient Sets: A Remark

We show that, in a two-period economy with uncertainty in the second period, if an allocation is Pareto optimal for a given set of beliefs and remains optimal when these beliefs are changed, then the set of optimal allocations of the two economies must actually coincide. We identify equivalence classes of beliefs, giving rise to the same set of Pareto optimal allocations. Journal of Economic Literature Classification Numbers: D51, D61.     

Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible and Indivisible Commodities and Linear Production Technologies

In this paper we consider a class of economies with a finite number of divisible commodities, linear production technologies, and indivisible goods and a finite number of agents. This class contains several well-known economies with indivisible goods and money as special cases. It is shown that if the utility functions are continuous on the divisible commodities and are weakly monotonic both on one of the divisible commodities and on all the indivisible commodities, if each agent initially owns a sufficient amount of one of the divisible commodities, and if a “no production without input”-like assumption on the production sector holds, then there exists a competitive equilibrium for any economy in this class. The usual convexity assumption is not needed here. Furthermore, by imposing strong monotonicity on one of the divisible commodities we show that any competitive equilibrium is in the core of the economy and therefore the first theorem of welfare also holds. We further obtain a second welfare theorem stating that under some conditions a Pareto efficient allocation can be sustained by a competitive equilibrium allocation for some well-chosen redistribution of the total initial endowments. Journal of Economic Literature Classification Numbers: D4, D46, D5, D51, D6, D61.     

Comparative dynamics in a productive asset oligopoly

We build a subgame perfect Nash equilibrium of a common property productive asset oligopoly and analyze separately the impact of a change in the implicit growth rate of the asset and a change in the number of firms exploiting the asset. We show that the steady state level of asset can be a decreasing function of the asset's implicit growth rate. This phenomenon arises when the initial stock of asset is below a certain threshold. In the short-run we show that firms’ exploitation rate can be a decreasing function of the implicit growth rate. We study the impact of a change in the number of firms that share access to the asset. Reducing the number of firms can result, in the long-run, in higher industry production. In the short-run, it can result in an increase of the industry's exploitation and a decrease of the level of the asset's stock.     

A new impetus for endogenous growth: R&D offshoring via virtual labor mobility

We develop a simple North–South model of quality ladders to show that the virtual mobility of labor across time zones, facilitated by the advance in communication technology, can raise the endogenous growth rate of the world economy. The unique balanced growth rate is increasing in the endowments of skilled labor in both countries and decreasing in the rate of impatience. Moreover, we find that partial R&D offshoring to the South has initially a negative effect on the level of skilled wages in the North, but this is compensated for by its positive effect on the growth rate in both North and South.     

股市投机泡沫:理论模型、检验与度量方法研究

投机泡沫是导致泡沫经济并引发经济危机的重要根源,而不断扩大的股市泡沫则预示着泡沫经济的到来。投机泡沫的度量方法包括股价指数的上涨时间、上涨速度和换手率、股票市场的相对成长性估值类方法和Q比率方法。但是这些方法对经济发展及社会的经济环境不能全面地考虑。应构造建立在股票内在价值基础上的检验方法,运用相对估计指标对泡沫进行全面的度量,从而提高泡沫检验的准确度和对股票价值检验及预测的实际应用能力。     

COMMUNITY HOMOGENEITY AND REVEALED PREFERENCES FOR ENVIRONMENTAL GOODS

This paper examines the links between community homogeneity and the demand for environmental quality. Using data from California, this paper shows that communities that are more homogeneous in terms of race and educational attainment are more likely to support the public provision of environmental goods, after controlling for political ideology, voter turnout, and the distribution of benefits and costs across communities. The models also reveal nonmonotonic relationships between racial and social groups and support for the public provision of environmental amenities. Support for environmental initiatives in a community typically increases at an increasing rate the greater the concentration of Whites. On the other hand, support generally increases at a decreasing rate the greater the share of African Americans and Asians in the population. Results for a proposal that would have imposed a tax on oil extraction to fund alternative energy projects suggest a different pattern of nonlinear associations. (JEL D72, H42, Q51, Q58)     

Monetary Regime Choice and Optimal Credit Rationing at the Official Rate: The Case of Russia

ABSTRACT

Stabilizing monetary policy in a small open economy is constrained by the open economy trilemma. In this paper, we investigate whether foreign exchange market interventions and the Central Bank’s credit rationing at the official rate (CROR) may soften this constraint and improve the results of monetary policy for different monetary regimes. We construct a dynamic stochastic general equilibrium (DSGE) model appropriate for analyzing the forward-looking behavior of households facing non-zero probabilities of losing access to financial market and CROR. We have found significant credit rationing in the quarterly Russian data of 2001:Q1–2014:Q2. The probability of losing access to financial market and the probability of CROR are estimated as 22% and 66%, respectively. Using Russian data of 2001:Q1–2014:Q2 we demonstrate that CROR provoked forward-looking activity in financial market, which led to more Ruble devaluation in the crises of 2008–2009. It improved poor countercyclical performance of two Russian monetary policy rules, whereas made small effect on welfare. Welfare maximization exercises reveal a tradeoff between low-inflation and high-welfare solutions and favor of a floating exchange rate regime. We found the optimal value of the probability of CROR in both exchange rate-based and Taylor rule-based models but resulting improvement in welfare is very small.     

Social status,human capital formation and the long-run effects of money

This study examines the effects of monetary policy in a two-sector cash-in-advance economy of human capital accumulation. Agents concern about their social status represented by the relative physical capital and relative human capital. We find that if the desire for social status depends only on relative physical capital, money is superneutral in the growth-rate sense. However, if the desire for social status depends on relative human capital, the money growth rate will have a positive effect on the long-run economic growth rate. Furthermore, an increase in the desire to pursue human capital will raise the long-run growth rate, but an increase in the desire to pursue physical capital will lower it.     

Recursive preferences and balanced growth

We study a class of utility functions that are defined recursively by an aggregator W(x,y) where u_t=W(c_t,u_t+1). In single-agent economies it is known that a sufficient condition for the existence of a balanced growth path is that utility should be homogenous of degree γ. In the context of a multi-agent economy we show that this restriction implies that either a balanced growth equilibrium fails to exist or all agents have the same constant discount factor. We suggest a generalization of recursive preferences wherein the intertemporal utility function is time dependent. Within this class we establish that there may exist a balanced growth equilibrium even if agents are different.     

The optimal depletion of exhaustible resources: A complete characterization

We provide the closed form solution to the Dasgupta–Heal–Solow–Stiglitz (DHSS) model. The DHSS model is based on the seminal articles Dasgupta and Heal, 1974, Solow, 1974 and Stiglitz (1974) and describes an economy with two assets, man-made capital and a nonrenewable resource stock. We explicitly characterize, for such an economy, the dynamics along the optimal trajectory of all the variables in the model and from all possible initial values of the stocks. We use the analytical solution to prove several properties of the optimal consumption path. In particular, we show that the initial consumption under a utilitarian criterion starts below the maximin rate of consumption if and only the resource is abundant enough and that under a utilitarian criterion, it is not necessarily the present generation that benefits most from a windfall of resources.