Capital–labor substitution and equilibrium indeterminacy

This paper examines the quantitative relationship between the elasticity of capital–labor substitution in production and the conditions needed for equilibrium indeterminacy (and belief-driven fluctuations) in a one-sector growth model. With variable capital utilization, the substitution elasticity has little quantitative impact on the minimum degree of increasing returns needed for indeterminacy. However, when capital utilization is constant, a below-unity substitution elasticity sharply raises the minimum degree of increasing returns because it imposes a higher effective adjustment cost on labor hours. Overall, our results show that empirically-plausible departures from the Cobb–Douglas production specification can make indeterminacy more difficult to achieve.     

Productivity gaps and capacity utilization in the manufacturing sectors of five OECD-countries, 1963–1982

The purpose of this paper is to apply some novel features in the theory of productivity indexes to the measurement of productivity gaps. It advances the proposition that one reason for the persistence of productivity gaps might be that the methodology of measuring gaps does not separate shifts of the production function due to intercountry efficiency from shifts due to intercountry differences in capacity utilization.In this paper we calculate productivity gaps for four OECD countries relative to the U.S., adjusted for cyclical variations in capacity utilization for the period 1963–1982. The theoretical foundation of our measurement is based on a variable cost function approach with short-run fixity of capital. Without adjusting for differences in capacity utilization within the countries, productivity gaps are a mixture of differences in productivity and in capacity utilization.The refereeing process of this paper was handled through C. Morrison.     

The relationship between carbon dioxide emissions and economic growth: quantile panel-type analysis

This paper samples the data of 138 countries during the 1971–2007 period, and performs an empirical test to validate the relationship between carbon dioxide emissions and economic growth. It first performs panel data analysis and quantile regression analysis to estimate the long-run elasticity relationships, and then analyzes the short-run error correction model to verify the causal relationship between the two. The empirical results indicate the following. (1) The long-run relationship between global carbon dioxide emissions and GDP is stable, with 32.6% of the sampled countries showing cross-coupling of the two (with an elasticity value of greater than 1), 47.1% reporting relative-decoupling (with an elasticity value between 0 and 1), and 20.3% seeing absolute-decoupling (with an elasticity value of smaller than 0). (2) The quantile regression shows that long-run elasticity declines along with the rise of carbon dioxide emission quantiles. In other words, cross-coupling turns into relative-decoupling. (3) The analysis of short-run panel data and quantile regressions mostly support the feedback relationship between carbon dioxide emissions growth and economic growth. This is consistent with the hypothesis developed by Kuznets. (4) According to the results of the quantile regression, the higher the quantiles, the faster and more stable of the short-run error-correction mechanism of the adjustments from short-run disequilibrium to long-run equilibrium. (5) Under the low-quantile carbon dioxide emissions growth and economic growth, the relationship between these two is not stable of the short-run disequilibrium adjustments in the error-correction adjustment process. However, the relationship between these two is steady and feedback in the case of high quantiles. Therefore, the first priority to combat global warming is to focus on the countries with high economic growth and high carbon dioxide emissions growth.     

Rationally inattentive macroeconomic wedges

This paper argues that the solution to a dynamic optimization problem of consumption and labor under finite information-processing capacity can simultaneously explain the intertemporal and intratemporal labor wedges. It presents a partial equilibrium model where a representative risk adverse consumer chooses information about wealth with limited attention. The paper compares ex-post realizations of models with finite and infinite capacity. The model produces macroeconomic wedges and measures of elasticity consistent with the literature. These findings suggest that aconsumption-labor model with information-processing constraints can explain the difference between predicted and observed consumption and employment behavior.     

Rivalry Restraint as Equilibrium Behavior

Rivalry restraint has received a lot of attention as a theory of profits in recent research on business strategy. Its economic rationale is explained as the consequences of either exogenous or endogenous anticompetitive forces present in different industries. In this paper, we use a dynamic oligopolistic industry model and show that rivalry restraint emerges as equilibrium behavior among firm owners who delegate decisions to managers. In the corresponding two‐stage game, managers choose optimal production rates in a dynamic Cournot market and owners set incentives for managers, acting sequentially rational. Equilibrium incentives correspond to rivalry restraint, that is, managers are less aggressive in the product market with lower outputs and increasing profits for all firms in the industry.     

Scale Economy Measures and Subequilibrium Impacts

Morrison (1985), Morrison and Siegel (1997) and Morrison and Schwartz (1994) have suggested using an expression for total scale or cost economies to disentangle determinants of cost efficiency, including short run subequilibrium effects. Fousekis (1998) has noted that the derivation of such an expression is based on imputation of the long run, which implicitly suggests evaluation at steady state values. Measurement of elasticities imputing values not observed in the data, however, invariably requires some type of approximation. The Fousekis approach represents one view of the relevant approximation, which is not conceptually appropriate for most applications, and disallows evaluation of the implied adjustment process to long run values. This article highlights the underlying assumptions that raise questions about this approach, and overviews alternative approaches to and rationales for computing these types of elasticity estimates.     

Evolution in a General Equilibrium framework

In this paper, we consider a general equilibrium model in which the economies are characterized by the distribution of firms on a set of branches of production; we will show that based on the decisions of the managers of the firms, it is possible to build a dynamic system whose solutions reproduce the possible trajectories of the economy. Once the initial state of an economy is known, that is, the initial distribution of firms, we will have a unique solution for this dynamic system, which will coincide with the evolution of the economy, that is, the evolution of prices and equilibrium allocations.The investment decisions of the administrators of the companies will change the distribution over the set of existing productive branches, which in turn will produce changes in the wealth of consumers who are also shareholders of the companies and then as a consequence, their demand will change, and therefore the equilibrium allocations and prices will too.In most cases, these decisions lead to an improvement in the efficiency of the productive side of the economy and an increase in the welfare of the economy as a whole, but, as we will show, under some particular circumstances, even when it comes to rational decisions from the point of view of administrators, this can lead to undesirable repercussions on the welfare of consumers. Besides, in a neighborhood of a critical economy, even when these decisions may involve small changes in the distribution of companies, they can cause abrupt and unexpected changes in the behavior of the economy, or in other words, they can cause an economic crisis. These are characterized by large changes in the prices, in the demand, and in the supply of goods. In contrast, in a sufficiently small neighborhood of a regular economy, small changes in the distribution of firms produced by the investment decisions of managers do not lead to large changes in the subsequent behavior of the economy. We will exemplify these statements with several numerical examples.     

经济函数在经济案例中的应用分析

经济函数是联系经济和数学的纽带,建立相应的数学模型,找出经济变量之间的函数关系。本文主要介绍了几种常用的经济函数,结合经济案例讨论了最大利润问题、最低成本问题、需求弹性问题和价格弹性问题。     

Supplier incentives and resource constraints under uncertainty

Procurement in environments of cost uncertainty and asymmetric information require special arrangements such as the linear incentive contract. Usually the buyer is motivated to make investments that can relieve temporary supplier resource constraints during the procurement. Special problems arise, however, due to interactions between investments in suppliers and the risk-incentive trade-off achieved by the incentive contract. A cost signaling model is proposed to overcome these problems, where a supplier offers an equity share in the profit from the incentive contract to the buyer in return for a priori investment. The equity share signals the supplier's private cost information, and forms the basis for the buyer's investment decision. Under equilibrium the buyer can expect to recover the entire amount provided to the supplier through his or her share of the profit.     

基于局部调整模型的我国现阶段货币需求函数分析

借鉴成本最小化行为引发的局部调整模型,采用1999年一季度至2005第三季度数据,建立我国短期动态货币需求函数。回归结果显示,实际货币需求的收入弹性为0.166,利率弹性为-0.096,通货膨胀弹性为-0.645,基本符合一般市场经济特质。根据我国近期宏观调控目标进行短期动态预测,得出2005年四季度至2006年四季度名义货币供应量M1季度同比增长率平均为13.2%,表明在当前错综复杂的经济形势下,特别是外部冲击形成空前压力下,我国货币政策应保持谨慎紧缩倾向。     

Demand and supply estimation biases due to omission of durability

We build a dynamic equilibrium model of a durable goods oligopoly with a competitive secondary market to evaluate the bias in estimating the structural parameters of demand and supply when durability is omitted. We simulate data from our dynamic model and use them to estimate the model’s static counterpart. We find that the static estimate of the elasticity of demand is an overestimate of the true elasticity and that the static estimate of the markup is an underestimate. Our results provide a benchmark on the magnitude and sign of the bias when static models are used for economic inference.     

Capital utilization, economic growth and convergence

Optimal decisions by economic agents regarding the utilization of capital lead to empirically plausible speeds of convergence in one-sector models of economic growth. The relationship between depreciation and capital utilization plays a crucial role in slowing down convergence to the steady state. Cross-country differences in the extent to which the capital utilization decision is internalized along the transition path may lead to differences in convergence rates, even for countries with similar initial and terminal conditions. Finally, by assuming a constant depreciation rate and full capital utilization, standard growth models may be overstating the magnitude of the steady-state equilibrium.     

How does interest rate policy affect inflation? A simple general equilibrium model with the interest rate as the policy instrument

This paper analyses the connection between the assumptions often made on the utility functions of economic agents when general equilibrium is considered. Concretely, we analyse the effect of certain assumptions regarding the elasticity of marginal utility for both the existence of equilibrium and, assuming equilibrium exists, for the effect that raising the nominal interest rate has on the equilibrium inflation rate. Typical macroeconomic wisdom states that an increase in the interest rate will decrease inflation, and this seems to have been the basis for real-life macroeconomic policy in several countries. However, this wisdom is based on models in which the money supply, and not the interest rate, is the policy instrument. Using a very simple general equilibrium model of intertemporal consumption, this paper finds sufficient conditions for the negative relationship to hold (and for it not to hold) in the short run, when monetary policy is characterised by a given nominal interest rate. Above all, it is shown how the relative risk aversion characteristics that are assumed of the economic agents are important.     

Excess capacity: a permanent characteristic of US airlines?

This paper examines the permanence of excess capacity in the US airline industry. To avoid the problems with the standard engineering measure of capacity utilization, load factor, we define and measure capacity as an economic concept. Two measures of economic capacity utilization are then computed—one, a demand-based measure and the other an output-based measure of capacity utilization. Both measures share little in common with the standard engineering measure (load factor) and reveal some interesting attributes of airline travel demand. This paper also provides interesting new insights into the role of deregulation and the costs of excess capacity during regulation. Specifically, it is found that deregulation with the concomitant rationalization of route structures enabled airlines to move closer to their optimal levels of capacity and facilitated substantial improvements in capacity utilization and cost reductions over the period considered. © 1998 John Wiley & Sons, Ltd.     

Optimal investment with vintage capital: Equilibrium distributions

The paper concerns the study of equilibrium points, or steady states, of economic systems arising in modeling optimal investment with vintage capital, namely, systems where all key variables (capitals, investments, prices) are indexed not only by time but also by age. Capital accumulation is hence described as a partial differential equation (briefly, PDE), and equilibrium points are in fact equilibrium distributions in the variable of ages. A general method is developed to compute and study equilibrium points of a wide range of infinite dimensional, infinite horizon, optimal control problems. We apply the method to optimal investment with vintage capital, for a variety of data, deriving existence and uniqueness of equilibrium distribution, as well as analytic formulas for optimal controls and trajectories in the long run. The examples suggest that the same method can be applied to other economic problems displaying heterogeneity. This shows how effective the theoretical machinery of optimal control in infinite dimension is in computing explicitly equilibrium distributions. To this extent, the results of this work constitute a first crucial step towards a thorough understanding of the behavior of optimal paths in the long run.     

Equilibrium asset pricing with Epstein-Zin and loss-averse investors

We study multi-period equilibrium asset pricing in an economy with Epstein-Zin (EZ-) agents whose preferences for consumption are represented by recursive utility and with loss averse (LA-) agents who derive additional utility of gains and losses and are averse to losses. We propose an equilibrium gain-loss ratio for stocks and show that the LA-agents are more (less) risk averse than the EZ-agents if their degree of loss aversion is higher (lower) than this ratio. When all the agents have unitary relative risk aversion degree and elasticity of intertemporal substitution, we prove the existence and uniqueness of the equilibrium and the market dominance of the EZ-agents in the long run. Finally, we extend our results to the case in which the LA-agents use probability weighting in their evaluation of gains and losses.     

Investment shocks and the comovement problem

Recent work based on sticky price-wage estimated dynamic stochastic general equilibrium (DSGE) models suggests investment shocks are the most important drivers of post-World War II US business cycles. Consumption, however, typically falls after an investment shock. This finding sits oddly with the observed business cycle comovement where consumption, along with hours-worked and investment, moves with economic activity. We show that this comovement problem is resolved in an estimated DSGE model when (i) the cost of capital utilization is specified in terms of increased depreciation of capital, as originally proposed by Greenwood et al. (1988) in a neoclassical setting, or (ii) there is no wealth effect on labor supply. The data, however, favors the first channel. Traditionally, the cost of utilization is specified in terms of forgone consumption following Christiano et al. (2005), who studied the effects of monetary policy shocks. The alternative specification we consider has two additional implications relative to the traditional one: (i) it has a substantially better fit with the data and (ii) the contribution of investment shocks to the variance of consumption is over three times larger. The contributions to output, investment, and hours, are also relatively higher, suggesting that these shocks may be quantitatively even more important than previous estimates based on the traditional specification.     

Deposits,Loans, and Banking: Clarifying the Debate

The relationship between banking deposits and loans is contentious. While the defense of a 100 percent reserve clause to eliminate fractional reserves has commonly been asserted on economic and ethical grounds, Huerta de Soto (2006) arguments are largely ignored. Rozeff (2010) is an example. We show that treating a loan and a deposit interchangeably is impermissible due to both established and a priori legal principles. At best, fractional reserves may be considered an aleatory contract but this is incompatible with the reason individuals hold money—mitigating uncertainty. Deposit and loan contracts are distinct, and may not be contractually melded together.     

The fundamental law of highway congestion revisited: Evidence from national expressways in Japan

The fundamental law of highway congestion states that when congested, the travel speed on an expanded expressway reverts to its previous level before the capacity expansion. In this paper, we propose a theory that generalizes this statement and finds that if there exists a coverage effect, that is, the effect of longer road length on traffic conditional on capacity, then the new equilibrium travel speed could be lower than its previous level. Given the fundamental law, the theory predicts that the elasticity of traffic to road capacity is at least 1. We estimate this elasticity for national expressways in Japan and test this prediction. Using the planned national expressway extension as an exogenous source of variation for capacity expansion, we obtain elasticity estimates ranging between 1.24 and 1.34, consistent with the prediction of our theory. We further investigate the sources of the larger-than-unity elasticity and find that the coverage effect plays a critical role, compared with the effect due to lane expansion.     

Size of home,homeownership, and the mortgage interest deduction

This paper offers an empirical test of the effect of the mortgage interest deduction (MID) on both the extensive (own vs. rent) and intensive (size of home) housing purchase margins. Using state level differences in MID availability to identify, I examine this relationship using standard ordinary least squares, instrumental variables, regression discontinuity, and sample selection estimation techniques. I find the MID to be responsible for a 10.9–18.4% increase in the size of home purchased, but that no relationship exists between the MID and home ownership. These results imply an elasticity of home size with respect to changes in user cost between ?1 and ?1.4.