Estimating risk aversion coefficients for dry land wheat,irrigated corn and dairy producers in Kansas

The risk attitudes of dry land wheat, irrigated corn, and dairy producers in Kansas are examined using the nonlinear mean–standard deviation approach. Results of analyses indicated that dryland wheat and dairy producers are characterized by increasing absolute and increasing relative risk aversion while irrigated corn producers are characterized by constant absolute and increasing relative risk aversion. Both crop enterprises exhibited constant returns to scale technology while the dairy enterprise exhibited decreasing returns to scale. Gross farm income was significant and positively related to relative risk aversion.     

Export Processing Zones, Backward Linkages, and Variable Returns to Scale

This paper investigates the effects of forming export processing zones on factor rewards, national income, and the intermediate-good-producing sector under variable returns to scale (VRS). It is shown that the results obtained in the model under constant returns to scale are substantially modified if VRS is incorporated into the model.     

收益递增、运输成本与贸易模式

本文建立一个两国模型,研究存在运输成本和收益递增场合贸易的模式与利得分配,探讨成本递减作为贸易保护理由的条件,拓广Ethier(1982a)的分析。模型中制成品的生产可选用现代技术或传统技术,前者带来规模收益递增。基本结论是:模型参数及初始条件决定贸易均衡的类型以及贸易利益的得失。若收益递增越强、运输成本越低、制成品支出份额越高或相对经济规模越大则越容易形成专业化的生产与贸易格局,且专业化的格局类似于李嘉图模式(无运输成本、收益不变)的分析,即各国出口其具有比较优势的产品;出口收益递增产品的一方总是从贸易中获利,另一方可能获利也可能受损。建议政府大力扶持收益递增产业,积极推动工艺创新。     

Malmquist and Törnqvist productivity indexes: returns to scale and technical progress with imperfect competition

Caves, Christensen and Diewert proposed a method for estimating a theoretical productivity index for a firm using Törnqvist input and output indexes, augmented by exogenous estimates of local returns to scale. However, in order to implement their method, they assumed that the firm maximized revenue in each period, conditional on the observed input vector in each period, taking output prices as fixed. This assumption is not warranted when there are increasing returns to scale. Thus in the present paper, it is assumed that the firm solves a monopolistic profit maximization problem when there are increasing returns to scale and the results of Caves, Christensen and Diewert are modified in accordance with this assumption.     

Price expectations,disequilibrium adjustments,and macroeconomic price stability

This paper examines the possibility of extending the basic theorems of the risk-free, two-sector, two-factor, constant returns to scale model of production to cover situations with price uncertainty. It is shown that the Rybczynski and Stolper-Samuelson theorems may fail to hold for certain cases while the factor price equalization theorem cannot carry over to the stochastic world, provided firms in the uncertainty sector exhibit decreasing absolute risk aversion. The implications of uniform (relative) changes in both factor endowments and in both (expected) commodity prices are also explored.     

Indeterminacy,capital maintenance expenditures and the business cycle

This paper examines how maintenance expenditures affect the occurrence of indeterminacy in a two-sector model economy, motivated by the empirical fact that equipment and structures are maintained and repaired. McGrattan and Schmitz's (1999) survey on ‘Capital and Repair Expenditures’ in Canada indicates that maintenance expenditures account for a substantial fraction of output and new investment. It is shown that the endogenous maintenance expenditures reduce the requirement of the degree of increasing returns to scale to generate sunspot equilibria. In fact, the minimum level of the returns to scale required could be as low as 1.0179. This aspect is important since empirical works such as Basu and Fernald (1997) suggest that returns to scale is close to constant.     

The effect of differential shift costs on capital utilization

This paper presents the results of a micro study of the influence of the shift differential factor on utilization rates in Kenyan manufacturing. Qualitative information about the nature of technology and of shift differentials is incorporated into models of the choice of utilization rate under the alternative assumptions of constant returns to scale and increasing returns to scale. Econometric tests are then used to show that 1971 data is consistent with the theoretical predictions, although the results suggest that the quantitative significance of the shift differential factor in causing excess capacity should not be overstated.     

Non‐Scale Endogenous Growth with R&D and Human Capital

This paper examines the conditions under which increasing knowledge, encapsulated in ideas for new technology through R&D and embodied in human capital through education, sustains economic growth. A general model is developed where, consistent with recent literature, growth is non‐scale (not increasing in population size) and endogenous (generated by factors within R&D and education). Recent models feature the counterfactual assumption of constant returns to existing knowledge and restrict the substitutability of inputs within R&D and education. We find that non‐scale endogenous growth is possible under less stringent conditions. The findings reconcile sustained economic growth with evidence of diminishing marginal returns in education and R&D, which suggests an ambiguous role for R&D policy.     

Returns to scale in DEA models for performance evaluations

The technology industry is a major driving force in Taiwan's economic development. The Taiwan government employed technology development programs (TDPs) to stimulate industrial technology research and development to enhance industry competitiveness. This paper uses Data Envelopment Analysis (DEA), a nonparametric approach, to evaluate the relative efficiency of decision-making units (DMUs) that use multiple inputs to produce multiple outputs, to evaluate the relative managerial efficiency of TDPs. The inputs are human resources and expenditures. The outputs are patents and technology outcomes. We investigated TDP performance over the period from 1999 to 2003. This study uses CCR and BCC models, which are DEA model variants, to calculate efficiency indexes. CCR is adopted under the assumption of constant returns to scale. BCC is used to understand the variable returns to scale, including the constant, decreasing and increasing. We found that TDPs in the material and chemical engineering fields in 1999 and 2001, machinery and aerospace fields in 1999, and communication and optoelectronics fields in 2002 had better performance than the other TDPs. We provide potential improvements for inefficient DMUs.     

Increasing returns,exhaustible resources,and optimal growth

It is shown that in an optimal growth model having inputs of flows from an exhaustible resource and services of reproducible capital, constant returns to scale is boundary separating paths of non-steady state development from those of steady development including asymptotic steady state growth. The absence of growth in output was observed by Dagsupta and Heal, and Solow for the case of non-increasing returns to scale.     

Endogenous time-varying risk aversion and asset returns

Stylized facts about statistical properties for short horizon returns in financial markets have been identified in the literature, but a satisfactory understanding for their manifestation is yet to be achieved. In this work, we show that a simple asset pricing model with representative agent is able to generate time series of returns that replicate such stylized facts if the risk aversion coefficient is allowed to change endogenously over time in response to unexpected excess returns under evolutionary forces. The same model, under constant risk aversion, would instead generate returns that are essentially Gaussian. We conclude that an endogenous time-varying risk aversion represents a very parsimonious way to make the model match real data on key statistical properties, and therefore deserves careful consideration from economists and practitioners alike.     

On the Limits to the Long-Period Method in Classical Economics: A note

On a first reading of Theory of Production, Kurz & Salvadori (1995) appear to confine the empirical domain of the long-period models of the classical theory of value and distribution to stationary economies with non-constant returns to scale and to growing economies with constant returns to scale. Such a reading is shown to be untenable since it merges the two levels of exploring the extension of a model and of testing a theoretical hypothesis. Conversely, the way Kurz & Salvadori tackle the problems of price dynamics and returns to scale in growing economies is shown to be compatible with what appears to be Sraffa's (implicit) strategy of research.     

External Economies of Scale and Optimal Plant Location

This paper departs from earlier work on location theory by introducing external economies of scale into the Weber–Moses location model. It is shown that under Cournot–Nash competition, when external economies prevail, constant returns to scale at the firm level is not a sufficient condition for ensuring the invariance of the firm's optimal location with respect to a change in market demand, regardless of whether or not free entry is allowed. Moreover, when free entry is allowed and the production function exhibits decreasing returns to scale, but with very strong external economies, the optimal location moves towards or away from the market as demand increases according to whether the demand function is convex or concave. These results are different significantly from the conventional wisdom.     

Technical progress,urban unemployment,outputs, and welfare under variable returns to scale

This paper analyzes the implications of technical progress for a small Harris–Todaro (H–T) economy under variable returns to scale (VRS). It is shown that under VRS, technical progress occurring either in the agriculture or the manufacturing may be immiserizing; the effects of technical progress on sectoral outputs, factor prices, urban unemployment, and welfare crucially depend on the signs and the relative magnitudes of sectoral elasticities of returns to scale and the employment effect; the Corden–Findlay type of ultrabiased output effect of technical progress in the constant returns to scale (CRS) H–T model carries over to the case of VRS, but with much more stringent conditions than the CRS case.     

A new production function? Bowled by a googly

This paper clarifies the nature of the CES production function described in a recent paper by Bairam, Howells and Turner (BHT) in this journal. It is shown that the standard constant returns to scale CES function is a special case of the BHT function. In all other cases, the BHT function is not homogeneous of any degree in its inputs, and hence cannot be considered a neoclassical production function. Further, the BHT function is restrictive in that it does not admit homogeneous non-constant returns to scale CES functions.     

Recursive equilibrium in endogenous growth models with incomplete markets

This paper analyzes the existence of recursive equilibria in a class of convex growth models with incomplete markets. Households have identical CRRA-preferences, production displays constant returns to scale with respect to physical and human capital, and all markets are competitive. There are aggregate productivity shocks that affect aggregate returns to physical and human capital investment (stock returns and wages), and there are idiosyncratic shocks to human capital (idiosyncratic depreciation shocks) that only affect individual human capital returns. Aggregate and idiosyncratic shocks follow a joint Markov process. Conditional on the aggregate state, idiosyncratic shocks are independently distributed over time and identically distributed across households. Finally, households have the opportunity to trade assets in zero net supply with payoffs that depend on the aggregate shock, but markets are incomplete in the sense that there are no assets with payoffs depending on idiosyncratic shocks. It is shown that there exists a recursive equilibrium for which equilibrium prices (returns) only depend on the exogenous aggregate shock variable (the wealth distribution is not a relevant state variable). Moreover, the allocation associated with this recursive equilibrium is identical to the equilibrium allocation of an economy in which households live in autarky and face both aggregate and idiosyncratic risk.I would like to thank for helpful comments Peter Howitt, Bob Lucas, Michael Magill, Tomo Nakajima, Herakles Polemarchakis, Martine Quinzii, Kevin Reffett, an anonymous referee, and seminar participants at various universities and conferences.     

The nonlinear input-output model

This paper develops a nonlinear input-output model in which the production functions can exhibit a mixture of returns to scale at the various stages of production. It is shown that the traditional properties of the linear input-output model can be replicated under an extremely plausible assumption, which we call the uniform dominant diagonal condition. On the basis of this assumption it is shown that the model satisfies a contraction property. This open up the possibility of using some quite powerful results from the contraction mapping theory, establishes the existence of solutions, efficient computational procedures, and leads to a rather transparent mathematical theory for the nonlinear input-output model.     

The cost of equity capital: A simplification

Modigliani-Miller's theorem, which asserts that corporate financing policy is of no consequence, has been shown to hold true under a set of assumptions which is less restrictive than the original set used by MM. Preceding proofs were based on the theory of general equilibrium. Basically, this paper examines MM's second proposition—the linearity of the cost of equity capital with respect to financial leverage—when dropping a few of their basic assumptions but retaining their assumption about incomplete markets. In particular, this paper relaxes the assumptions that (a) the inflows are perpetual and that (b) the firm's future returns belong to the same risk class. The results of the analysis indicate that the linearity will be sustained. The nature of the financial risk premium (the slope), however, has to be modified.     

The Antonelli Versus Hicks Elasticity of Complementarity and Inverse Input Demand Systems

A true measure of input substitution associated with exogenous changes in input quantities requires that the output level be held constant. To this effect, this study presents the Antonelli elasticity of complementarity characterised by the distance function. The more common Hicks elasticity of complementarity assumes that marginal cost is constant and hence does not capture pure substitution effects. The two elasticities of complementarity are related to inverse demand systems and are shown to be equivalent under constant returns to scale. A framework for estimating the Antonelli elasticity from the uncompensated demand system is presented. Estimation results reveal substantial bias of input substitutability with the use of Hicks' measure.     

Are there diminishing returns to R&D?

Semi-endogenous models and, to some extent, also Schumpeterian models are based on the assumption of diminishing returns to R&D. This paper shows that the null hypothesis of constant returns to R&D cannot be rejected for the OECD countries.