On a generalization of a class of production functions

In Appl. Econ. Lett. 18 (2011), 1777–1784, as a natural generalization of some famous production models with two inputs, C.A. Ioan and G. Ioan introduced a new class of production functions with constant return to scale, called sum production function, and proved three theorems of characterization for such production models. In this article, we give new and more simple proofs of these theorems, extending also the results to the case of increased/decreased return to scale. The generalization to the case of an arbitrary number of inputs is also discussed.     

DETERMINATION OF PARTICIPATION DECISION, HIRING DECISION, AND WAGES IN A DOUBLE SELECTION FRAMEWORK: MALE-FEMALE WAGE DIFFERENTIALS IN THE U.S. LABOR MARKET REVISITED

The magnitude of the male-female wage differential is known to be highly sensitive to the specification of the wage equations used. An important source of misspecification is the failure to correct the sample selection bias that results from estimating the wage equation obtained through two sequential decisions: the worker's decision to participate in the labor market and the employer's decision to hire. Estimation of the wage equation ignoring this double selection process leads to biased estimates, and consequently the resulting male-female wage differentials are likely to be misleading. Following a double selection approach and using a sample from the National Longitudinal Survey of Youth, this article examines the determinants of not only the wage equation but also the worker's participation and the employer's hiring decisions in both male and female samples. The study further demonstrates that the unexplained male-female wage differential remains underestimated when the roles of both selection decisions are ignored in the estimation of wage equations.     

搜索、政府花费和失业

该文在将搜索理论和经典的经济增长理论结合的基础上引入生产性政府花费,讨论了政府花费对就业和消费的影响.利用最一般的生产和效用函数,证明了均衡状态存在的唯一性.当失业工人和空闲职位的匹配是有效时,表示经济系统的四维动力系统存在一个稳定的二维流形.     

Technology and public goods

This paper presents a theory of public goods based on production theory where public goods are viewed as inputs to the production process. We examine the pure case of public inputs (no private inputs) as well as the mixed case (private and public inputs). We show how the case of public inputs is related to certain forms of nonjoint production, and we characterize it in terms of variable profit and joint cost functions. Comparative statics results are derived graphically in the two-by-two case.     

A simple proof of the Sato proposition on non-homothetic CES functions

Summary. Based on some elementary results on duality, the paper proposes a much simpler way of deriving the class of non-homothetic CES production functions which was derived as a solution to a partial differential equation that defines the elasticity of substitution. Received: February 11, 1998; revised version: April 28, 1998     

A hedonic-output-index-based approach to modeling polluting technologies

Despite some recent criticisms, the conventional radial distance function, which treats undesirable by-products as either frontier shifters or inputs, remains a popular go-to formulation of polluting production processes among practitioners. This unfading popularity is arguably driven by the ability of radial distance functions, unlike alternative directional distance functions, to allow for unit-free multiplicative changes in arguments as well as, by implicitly postulating the radial direction, to free researchers from the dilemma of having to explicitly choose the directional vector. In this paper, we offer a generalization of the standard radial distance function to polluting technologies that can accommodate undesirable by-products in a more economically meaningful way. Specifically, we propose modeling undesirable outputs via a hedonic output index, which is meant to ensure that pollutants are treated as outputs, as opposed to inputs or theoretically unregulated frontier shifters, while also recognizing their undesirable nature. By using a radial input distance function generalized to encompass an (unobservable) hedonic output index of desirable and undesirable outputs, we are able to meaningfully describe relationships between different products (including the complementarity of desirable and undesirable outputs) within producible output sets as well as to represent technically feasible polluting production possibilities given inputs. An empirical application of our methodology to the case of Dutch dairy farms in 2001–2009 demonstrates the complexity of interactions between outputs, thereby attesting to the value of more elaborate representations of production possibilities.     

The softness of medical production and implications for specifying hospital outputs

This paper considers the implications of an inarticulate medical production function when specifying and interpreting estimated hospital production functions. Lack of scientific knowledge regarding the relationship between medical inputs and outputs results in variations in styles of care, and medical payment contains inefficient production incentives. These production distortions are implicit in reported hospital data. Empirical results of this study provide information regarding the extent and direction of bias resulting from estimating production functions using reported outputs under retrospective cost-reimbursement.     

Factor Demand in Pakistan's Manufacturing Sector

This paper estimate factor demand function by choosing appropriate technology. Departing from the conventioanl parting from the conventional practice of using and capital as factor inputs we extend the list of factors of production by including energy. Since we have more than two factor inputs the two-level (nested) CES production function is the natural choice for the appropriate technology. Using this technology we derive the factor demand for functions and estimate these for Pakistan's manufactruing sector covering a period from 1959-60 to 1982-83. The output elasticity of labour, capital and energy are found to be 0.47, 0.66 respectively. These informations, in particular, the employment elasticity are extremely important for manpower planning. These findings confirm the capital intensive structure of Pakistan's manufacturing units. [200]     

Imposing monotonicity on outputs in parametric distance function estimations

The technology set involved in the estimation of a multi-output production frontier theoretically implies monotonicity on outputs. This is because an efficient firm cannot reduce the vector of outputs holding the vector of inputs fixed while it still belongs to the frontier. In empirical studies dealing with the estimation of parametric distance functions, this hypothesis is often violated by observations with far from average characteristics. To overcome this limitation, we propose a new approach for allowing the easy imposition of monotonicity on outputs in this context. This methodology is tested in the educational sector using Spanish student level data from the Programme for International Student Assessment (PISA) database. The results indicate that a nonnegligible 8.33% of the production units break the monotonicity assumption. Furthermore, although there is no statistically significant difference in efficiency distribution by school ownership, our methodology helps to detect a slight worse mathematical performance for students attending public schools.     

Existence and Stability of Steady State in an Augmented Solow Model with Multiple Capital Goods

This paper relaxes two assumptions on the traditional augmented Solow model: strict concavity of production functions and dual capital goods. It generalizes traditional conclusions of the Solow model by demonstrating that neoclassical properties of a production function are sufficient for the existence and global stability of the steady state in the augmented Solow model with multiple capital goods. Moreover, we prove necessity of essentiality of inputs for a neoclassical production function and generalize the golden rule of capital accumulation.     

A translogarithmic cost function approach: Greece, 1953–1977

In this paper we use a two-output three-input specification to model the aggregate Greek economy. We use a translog joint cost function in lieu of its primal dual production function. Output consists of consumption and investment goods produced by the primary inputs and imports classified as a third agent of production. It is found that the cost minimizing input-mix is independent of the composition of output, that traditional functions are inappropriate in modeling Greek technology, and that the three factor inputs are substitutes for each other. Policies concerning the intensity of domestic inputs' use and the BOP are discussed.     

Production risk in multi-output industries: estimates from Norwegian dairy farms

Farmers who produce multiple outputs are portfolio managers in the sense that they use inputs to balance expected economic return and variance of return. This article estimates the structure of the stochastic multioutput production technology in Norwegian dairy farming, allowing for a more flexible specification of the technology than previous studies. We find that an increase in input levels leads primarily to higher output variability, and that inputs also influence the covariance of shocks between outputs. Risk reducing effects of inputs on outputs are primarily present in the covariance functions. Technical change leads to shifts in the profit distribution over the data period, but no welfare improvement for risk averse farmers.     

搜索、政府花费和失业

本文在将搜索理论和经典的经济增长理论结合的基础上引入生产性政府花费,讨论了政府花费对就业和消费的影响。利用最一般的生产和效用函数,证明了均衡状态存在的唯一性。当失业工人和空闲职位的匹配是有效时,表示经济系统的四维动力系统存在一个稳定的二维流形。     

Increasing returns and aggregate production efficiency by a monopoly

This paper considers an economy where there are many firms with increasing-returns-to-scale technologies and attempts to derive sufficient conditions ensuring that monopoly achieves aggregate production efficiency. In a setting of one output and many inputs, we obtain such sufficient conditions which can be interpreted as a nondecreasing generalized average productivity of inputs for each firm. We also show that a special class of generalized Cobb-Douglas production functions has such a property that monopoly always achieves aggregate production efficiency.     

Ingmar Prucha’s contributions to economics and econometrics

We study the link between two recent approaches to modeling emission-generating technologies: the by-production approach and the axiomatic approach. The by-production approach models these technologies as intersections of two independent sub-technologies reflecting (1) the relations between goods in intended-output production designed by human engineers and (2) the emission-generating mechanism of nature governed by material-balance considerations. The axiomatic approach proposes a set of axioms that a pollution-generating technology should satisfy. We show that the by-production technology satisfies these axioms and that, conversely, any technology satisfying the axioms can be decomposed into two sub-technologies satisfying the by-production properties. In either approach, the technology can be functionally represented by two radial distance functions with well-defined properties. These distance functions can also serve as measures of technological and environmental efficiency. We exploit the link between the by-production and axiomatic approaches to offer preliminary suggestions about suitable functional forms for the empirical estimation of the two distance functions.     

Valuing water for Chinese industries: a marginal productivity analysis

A marginal productivity approach is developed for valuing industrial use of water and applied using data from Chinese industrial firms, where water, as well as capital, labour and raw materials, are treated as inputs to a production function. Models on price elasticity of water demand associated with the marginal productivity approach are also developed and estimated for different Chinese industrial sectors.     

The importance of management and transaction costs for large UK firms

This article develops an approach to the firm using the principle that any organization is an amalgam of two production functions: a control function and a real function. The resulting non-linear regression equation allows estimation of model parameters that can be used to calculate firm-specific production and transaction costs. The paper uses a sample of large UK firms for the four years 1980, 1986, 1992 and 1997. The parameter and cost estimates appear intuitively plausible given developments in competitive conditions and environmental uncertainties. Broadly speaking the results support the view that transaction cost economizing is a primary determinant of improved firm performance. This result is particularly apparent when monopoly power and the positive dynamic advantages of firm slack are identified.     

INDEX NUMBERS AND THE COMPUTATION OF FACTOR PRODUCTIVITY1

For purposes of analyzing the nature and meaning of index number formulas to be used in the calculation of factor productivity, a distinction is made between interetemporal comparison of factor productivity for a single country and contemporaneous comparison of factor productivity in two different countries. In the former case, the country in question is supposed ideally to be realizing fully its production possibilities, and the concern is seen as appraisal of shifts in such possibilities over time due to the advance of technological knowledge. Following Moorsteen such an advance is taken to be represented by the change in capacity to produce a standard mix of outputs per unit of a standard mix of inputs. Any mix might be standard, but those actually realized at the times in question are of particular interest. The index number formulas to be applied then depend on the assumed shape of the functions representing production possibilities. The conventional practice of aggregating output arithmetically and inputs geometrically, for example, is in order where production possibilities are given by an elaborated Cobb-Douglas function, but achieves only more or less approximate results otherwise. The analysis necessarily bears also on the prices at which inputs and outputs are to be valued. For the case of contemporaneous comparison of different countries, technological knowledge is taken ideally to be the same in the countries considered. Hence the concern is to gauge differences in production efficiency, i.e., realization of production possibilities. With production capacity understood to reflect any shortfall from possibilities, and hence production inefficiency in that sense, the analysis proceeds much as before, but given the fact of inefficiency determination of suitable prices for valuation of inputs and outputs becomes relatively difficult. Alternative expedients, none entirely satisfactory, are explored.