The aggregate elasticity of factor substitution with middle products

The elasticity of substitution between factors in production relates the change in the ratio of factors used in a production process to a given change in the factor price ratio. An aggregate concept of such an elasticity relates a change in overall factor endowments to the resulting change in factor prices. For a closed economy the behavior of consumers is an important part of such an aggregate elasticity, since endowment changes can bring about changes in commodity prices and resulting adjustments to factor prices. For a small open economy, commodity prices in typical models are exogenous. In the model with middle products, all final consumer goods are non-traded, so that local consumer behavior can affect factor prices. The aggregate elasticity of substitution is shown to be an average of production elasticities and demand elasticity even for a small open economy.     

Welfare analysis in a two-stage inverse demand model: an application to harvest changes in the Chesapeake Bay

Like many agricultural commodities, fish and shellfish are highly perishable and producers cannot easily adjust supply in the short run to respond to changes in demand. In these cases it is more appropriate to conduct welfare analysis using inverse demand models that take quantities as given and allow prices to adjust to clear the market. One challenge faced by economists conducting demand analysis is how to limit the number of commodities in the analysis while accounting for the relevant substitutability and complementarity among goods. A common approach in direct demand modeling is to assume weak separability of the utility function and apply a multi-stage budgeting approach. This approach has not, however, been applied to an inverse demand system or the associated welfare analysis. This paper develops a two-stage inverse demand model and derives the total quantity flexibilities which describe how market clearing prices respond to supply changes in other commodity groups. The model provides the means to estimate consumer welfare impacts of an increase in finfish and shellfish harvest from the Chesapeake Bay while recognizing that harvests from other regions are potential substitutes. Comparing the two-stage results with single-stage analysis of the same data shows that ignoring differentiation of harvests from different regions, or the availability of substitutes not affected by a supply shock, can bias welfare estimates.     

Measurement of Changes in Economic Welfare in India: 1970–2001

This paper provides time series estimates of measures of economic welfare, inequality, decile class specific true cost of living index and poverty measures based on 20 rounds of National Sample Survey data for the period 1970–2001. It has estimated piece-wise Linear Expenditure System (LES) for very poor, moderately poor, non-poor low and non-poor high expenditure groups for rural as well as urban areas. Money metric utility for deciles are derived from the money metric utility function and social welfare index is constructed by aggregating metric utility of the deciles. Using social welfare index as well as real per capita consumption, the paper analyses the changes in economic welfare over the three decades. Using conventional measures, the paper analyses the changes in poverty and inequality during 1970–2001. The paper also provides estimates of the welfare effects of commodity prices.

     

More or better? Measuring quality versus quantity in food consumption

As people become richer they get the opportunity of consuming more but also qualitatively better goods. This holds for a basic commodity like food as well. We investigate food consumption in Russia, taking into account both expenditure and nutrition value in terms of calories. We analyse how food consumption patterns change with increasing income by considering both “quantity Engel curves” and “quality Engel curves.” The former describe the functional dependence of calories consumed on total expenditure. The latter trace out the dependence of unit value per calorie on total expenditure. We compare income elasticities of quantity with income elasticities of unit value and quality. In Russian household survey data for years 2000–2002 the reaction of quality to income changes is significantly stronger than the reaction of quantity to income changes suggesting that Russian households tend to choose higher quality food items as income rises.     

Consumption patterns in Sri Lanka: a decomposition analysis

Knowing consumer reaction to changes in prices and income is important in formulating microeconomic policies, such as public utility prices and commodity taxation. This paper analyses the consumption patterns of consumer goods grouped into eight broad commodities in Sri Lanka during the period 1975–2016, using a system-wide framework. The analysis indicates that Sri Lankan consumers allocate more than half of their income to food and nearly four fifths of their income to food, housing, and transport combined. The estimated income and own-price elasticities reveal that food, housing, medical care, and transport are necessities; clothing, durables and recreation are luxuries; and demand for all commodities is price inelastic except for recreation. To investigate the consumption growth pattern, we decomposed the growth in consumption and change in budget shares of the eight commodities into income, relative price, and change in taste. We also simulated per capita consumption expenditure of the eight commodities under various policy scenarios and found that income growth has played a significant role in Sri Lankan consumption patterns.     

A general theory of demand for information about product quality

The purpose of this paper is to construct a general theory—analogous to the neoclassical theory of consumer demand—of demand for information about product quality. The model proposed here introduces uncertain product quality by assuming that commodities possess attributes which consumers desire and that an uncertain commodity possesses are unknown quantity of some attribute. It is assumed that information about the quality of uncertain products is available. The consumer's utility function of information is derived and his information demand function is obtained.Partial analogues of the neoclassical theorems are proved for information demand. Roughly, we find that the Slutsky matrix is symmetric and that a submatrix is negative definite. The negative definite submatrix contains those terms which measure the effect of (income compensated) changes in information prices on information demand.The analysis employed to obtain these results parallels—with some important modifications—the neoclassical analysis of commodity demand. The method used to obtain expressions for the Slutsky substitution terms is an extension of the approach introduced by McKenzie [10] and later used by Hurwicz and Uzawa [6]. This approach uses an “income compensation” function to arrive at an “income compensated” demand function.     

V-Branch: A generalized utility function

Much of the work in demand theory is restricted by the functional form of the relationship The S-Branch utility function, which is a generalization of the linear expenditure system, corrects many of the restrictions. Many faults, however, still exist. The Allen partial elasticities of substitution are equal and constant for all commodities from different subsets of the function. The V-Branch utility function corrects many of these faults. The Allen partial elasticities of substitution are not restricted to be constant or equal either within or between commodity subsets. They vary according to the amount consumed of each commodity.     

Joint Allocation of Leisure and Consumption Commodities: A Japanese Extended Consumer Demand System 1979—90

In this study we estimate the parameters of a household expenditure function which includes joint choice of leisure and consumption commodities in scope without a separability assumption. We have used Japanese prices, wage rate, labour supply, and expenditure data on ten commodity groups, collected from 47 cities over 12 years. This data set has the advantage that separate observations are available for each data point for all the variables. We employed the AI demand system, for estimation. Controlling for time-specific effects, the result implied a definite rejection of the weak separability of labour supply and commodity choice, and non-rejection of the homogeneity and symmetry restrictions on the demand system. All the own-price elasticities are significantly negative, and both substitutes and complements are observed across commodity groups. As for the negativity, all but one of the eigenvalues of the substitution matrix are negative. The result as a whole showed consistency with demand theory. The estimated compensated labour supply elasticity is 0.39, which is in reasonable agreement with the previous studies.     

Import prices and the distribution of personal income

An indirect translog utility function is estimated for U.S. expenditure on domestically produced non-durables, durables, services and consumer imports. Empirical tests lead to the rejection of homogeneity and linear logarithmic utility as valid functional forms. Estimates of expenditure elasticities indicate that imported varieties of consumer goods are luxuries. An exogenous decrease in the price of these goods, which would occur when tariff barriers are relaxed, would be especially beneficial to upper income consumers. Finally, a redistribution of expenditure from upper income consumers to lower income consumers will increase expenditure on domestically produced goods and reduce expenditure on consumer imports.     

The displaced exponential as an Engel curve

An exponential function, vertically displaced, is considered as a relationship between expenditure on a particular commodity and total expenditure or total income. Economic properties are derived. The function is fitted to UK data, and fits more closely than quadratic functions.     

Wealth Effects and the Valuation of Common Access Facilities: Some Calculations*

Using a CES utility function modified to allow for zero usage of one commodity, this paper calculates the relative difference between compensating and equivalent variation measures of the welfare loss due to withdrawal of a commodity, for various plausible values of the relevant demand function parameters (income elasticity, expenditure share and substitution elasticity). Contrary to what is frequently asserted these differences can be quite significant     

Decomposition analysis of consumers' demand changes: an application to Greek consumption data

A decomposition analysis for consumer demand functions is developed. Changes in Marshallian demand or expenditure shares functions over time are decomposed into a total substitution effect, an income effect, and a habit effect. This framework is applied to post-war Greek consumption patterns through a habit persistence version of the Quadratic Almost Ideal Demand System (QUAIDS). It is found that for all commodity categories (i.e., food, beverages and tobacco, footwear and clothing, settling and housing, and others) the income effect was the main driving force in explaining changes in both quantity demanded and expenditure shares, followed by habit and total substitution effects.     

Factor Price Equality and Biased Technical Change in a Two-Cone Trade Model

We reconsider the effects of long‐run economic growth on relative factor prices across cones of specialization. We model economic growth as exogenous technical change. Allowing for capital biased technical change with a sector bias and for endogenous commodity prices, we find that economic growth may increase or decrease factor price differences across cones. For a neutral demand side and capital biased growth in the most capital intensive sector, we find that economic growth encourages less factor price diversity across cones.     

The demand for local public goods: choosing an appropriate functional form

The demand for public goods is typically specified in direct form (prices are assumed exogenous, quantities are the choice variable) based on cross-section data. The fact that public goods are characterized by jointness suggests that the indirect form (quantity exogenous) may be more appropriate than the direct form. In addition, it is not likely that cross-sectional data will satisfy integrability. In this paper integrability. In this paper integrability is tested for in both the direct and indirect form using data on a typical cross-section of municipalities. It is found that the homogeneity, equality and symmetry conditions are violated in both the direct and indirect forms.     

需求弹性理论分析及企业决策应用

需求价格弹性是需求弹性分类中的一种,它与企业的销售收入有着直接的关系,而传统理论对于需求价格弹性与企业销售收入间关系的结论不够准确,本文在传统理论的基础上,更进一步的给出相关的证明。并且本文也分析需求弹性理论在企业决策中的重要应用。     

The Emergence of the Law of Value in a Dynamic Simple Commodity Economy

Abstract

A dynamic computational model of a simple commodity economy is examined and a theory of the relationship between commodity values, market prices and the efficient division of social labour is developed. The main conclusions are: (i) the labour value of a commodity is an attractor for its market price; (ii) market prices are error signals that function to allocate the available social labour between sectors of production; and (iii) the tendency of prices to approach labour values is the monetary expression of the tendency of a simple commodity economy to allocate social labour efficiently. The model demonstrates that, in the special case of simple commodity production, Marx's law of value can naturally emerge from multiple local exchanges and operate ‘behind the backs’ of actors solely via money flows that place budget constraints on their local evaluations of commodity prices, which are otherwise subjective and unconstrained.     

Fiscal sustainability,volatility and oil wealth

Whether fiscal policy is sustainable depends on a government’s future revenue and expenditure streams, both of which are highly uncertain. In commodity‐rich countries, this problem is intensified by unpredictable and volatile commodity prices. We show how spending rules for oil income and non‐oil primary deficits interact and influence the stochastic distribution of future debt stocks and demonstrate the variance reducing impact of feedback rules for primary deficits in a case study of oil‐and‐gas exporter Azerbaijan.     

Commodity Prices and the Dynamics of Inflation in Commodity‐Exporting Nations: Evidence from Australia and Canada*

A commodity‐price boom is under way. What does this boom mean for inflation in countries with substantial net commodity exports? The answer depends on movements in commodity prices, changes in foreign exchange rates and the determinants of domestic price inflation. We estimate equations to provide indications of the strength of each of these forces for both Australia and Canada. The results show that world commodity prices move pro‐cyclically with world industrial production and that rates of change in commodity prices are directly related to domestic inflation in both countries. However, there is an offsetting impact of exchange‐rate changes, which is strong enough in the case of Australia, but not Canada, to substantially eliminate the inflationary impact of a commodity‐price boom.     

Development of the extended linear expenditure system from simple saving assumptions

The extended linear expenditure system (ELES) can be developed as an atemporal maximization of a Stone-Geary utility function wherein saving is treated as a good in itself. The key to this development is the a priori specification of the ‘subsistence quantity’ of saving, γ_{n + 1}, to be zero. Thus, the intertemporal maximization approach to the ELES is equivalent to specifying a Klein-Rubin saving function with γ_{n + 1} = 0 for a linear expenditure system (LES) based on permanent income rather than total expenditure. Any income concept - current, normal, or permanent, for example - is acceptable for the ELES developed from the atemporal maximization.     

NATIONAL PRODUCT AT CONSTANT PRICES IN THE FEDERAL REPUBLIC OF GERMANY

With few exceptions, only cormmodity flows and values which can be determined by means of commodity flows (flows of goods and services) are calculated in constant prices in the official national accounts of the Federal Republic of Germany. Figures an the industrial origin and the final use of the national product are published, the former according to thirty industries, the latter according to the major types of uses of which in particular private consumption expenditure has been further analysed. The computations at constant prices are based on market prices and not on factor costs. It is only on this basis that a uniform valuation of the production and the expenditure side can be made since the turnover tax, which is the most important indirect tax, is contained in the elements of final demand in varying shares and cannot be eliminated (the tax is part of the price and has cumulative effect). The computation at constant prices presupposes a breakdown of the values in current prices according to quantities and prices. This raises a number of problems, e.g. because seller and buyer may consider differing aspects-production costs, technical attributes, etc., on the one hand, and use etc., on the other hand. In part there exist only vague ideas, or no ideas at all, as to what is to be considered-from a theoretical point of view-as quantity and price. In other cases the two values can only with great difficulties, if at all, be quantified, or there exists no market price and only the production costs are available. The author deals in greater detail with differences in quality and new commodities, the determination and treatment of quantities and prices for services, in particular for trade services (services attached to goods), the computation of government services at constant prices considering the development of productivity in public service, the determination of the values calculated as balances, above all the treatment of changes in the terms of trade for net exports of goods and services, the computation of the contributions of industries to the gross domestic product and, finally, the reconciliation of the production and the expenditure side. In a third section the author deals with index formulae and the base year. In the majority of cases values are deflated; partly, however, they are currently adjusted by means of volume and quantity data. On the production side the two methods are in part combined. In a concluding section a survey is provided of the computation methods used in the Federal Republic of Germany and on the available material for the computations. Mention is made of depreciation at constant prices.