Fiscal policy simulations – a comparison of UK models

The problem of endowing large applied general equilibrium models with numerical values for parameters is formidable. For example, a complete set of own- and cross-price elasticities of demands for the MONASH model of the Australianeconomy involves in excess of 50000 items. Invoking the minimal assumptions that demand is generated by utility maximization reduces the load to about 26000 - obviously still a number much too large for unrestrained econometric estimation. To obtain demand systems estimates for a dozen or so generic commodities at a top level of aggregation (categories like ‘food’, ‘clothing and footwear’, etc.), typically Johansen's lead has been followed, and directly additive preferences imposed upon the underlying utility function. With the move beyond one-step linearized solutions of applied general equilibrium models, the functional form of the demand system adopted becomes an issue. The most celebrated of the additive-preference demand systems, the linear expenditure system (LES), has one drawback for empirical work; namely, the constancy of marginal budget shares (MBSs) - a liability shared with the Rotterdam system. To get around this, Theil and Clements used Holbrook Working's Engel specification in conjunction with additive preferences; unfortunately both Working's formulation and Deaton and Muellbauer's AIDS have the problem that, under large changes in real incomes, budget shares can stray outside the [0, 1] interval. It was such behaviour that led Cooper and McLaren to devise systems with better regularity properties. These systems, however, are not globally compatible with any additive preference system. In this paper we specify, and estimate, at the six-commodity level, an implicitly directly additive-preference demand system which allows MBSs to vary as a function of total real expenditure and which is globally regular throughout that part of the the price-expenditure space in which the consumer is at least affluent enough to meet subsistence requirements.     

Non‐Homothetic Multisector Growth Models

Multisector growth (MSG) models are dynamic versions of computable general equilibrium (CGE) models. Non‐homothetic preference (utility) functions are required for the evolution of factor allocations and industrial structures in accordance with consumption expenditure patterns implied by the non‐unitary income elasticities observed in all budget data since Engel in the 1850s. But comparative static general equilibrium solutions and particularly solving the dynamics of MSG models require explicit specifications of all demand and cost (price) functions. On the demand side, the constant differences of elasticity of substitution (CDES) non‐homothetic indirect utility functions and Roy's identity provide the explicit Marshallian demand functions and budget shares. Sectorial constant elasticity of substitution (CES) cost functions and Shephard's lemma provide the explicit relative commodity price functions and the sectorial cost shares and capital–labor ratios. Walrasian equilibria are given by one equation and the multisector dynamics by three differential equations. Benchmark solutions are given for three cost regimes of a 10‐sector MSG model. History patterns of industrial/allocational evolutions are recognized.     

An Engel Curve Analysis of Household Expenditure in New Zealand*

In this paper we estimate systems of Engel curves for expenditure on eight commodity groups by New Zealand households. Six model specifications are considered, and the preferred results are based on the Almost Ideal Demand System. The estimated expenditure elasticities and marginal budget shares are quite insensitive, at the sample mean, to the choice of functional form. The results are compared with those from other Australasian, British and American studies.     

Demand system estimation in the absence of price data: an application of Stone-Lewbel price indices

This article evaluates the feasibility of estimating a system of demand equations in the absence of price information using the approach developed by Lewbel (1989). Stone-Lewbel (SL) price indices for commodity groups are constructed using information on the budget shares and the Consumer Price Indices (CPIs) of the goods comprising the commodity groups, which allows for household-level prices to be recovered. This study evaluates how susceptible are elasticities and marginal effects estimates from traditional parametric demand systems to the CPI used in the construction of the SL prices. To do this, three alternative regional CPIs are considered for the construction of the SL prices: monthly, quarterly and a constant (unity) price index. Elasticities and marginal effect estimates are computed for eight food commodity groups using the Exact Affine Stone Index (EASI) model as the parametric demand system and data from the United States Consumer Expenditure Survey. The estimates proved to be robust to the alternative regional CPIs considered in the construction of SL price indices, even to the absence of one. Hence, the results suggest that it is possible to accurately estimate a demand system even in the absence of price information.     

Demographic versus expenditure flexibility in Engel curves

We consider the effects of demographic and expenditure variables on consumer demand in a system of Engel curves using a smooth coefficient semiparametric model where the expenditure effects on the budget shares vary nonparametrically with demographic variables such as the age of head and number of children in the household. Our findings, based on UK micro data, suggest that with a smooth coefficient semiparametric model there is no need for nonlinear logarithmic expenditure effects in the budget shares. Furthermore, we find evidence of a trade-off between demographic and expenditure effects in Engel curves and that a rank-2 system of Engel curves where the logarithmic expenditure effects are allowed to vary with demographic characteristics either nonparametrically or as a third degree polynomial function cannot be rejected against a rank-3 (quadratic logarithmic) model. The implications on household behavior and welfare are also examined. We would like to thank an anonymous referee and Baldev Raj, the editor, for useful comments and suggestions. We would also like to thank the University of Cyprus for financial support, Theofanis Mamuneas for stimulating discussions and the Office of National Statistics for making available the UK Family Expenditure Survey data through the ESRC Data Archive. The last author would also like to acknowledge the financial support from SSHRC of Canada.     

Global restrictions on the parameters of the CDES indirect utility function

This paper extends the analytical and empirical application of the basic indirect utility function of Houthakker–Hanoch—called the CDES specification (constant differences of elasticities of substitution). The non-homothetic CDES preferences are the natural parametric extension on the global domain of the homothetic CES preferences with many commodities, and CDES can conveniently be used in specifying CGE multisector models with a demand side satisfying observable Engel curve patterns. Moreover, all Marshallian own-price elasticities are no longer restricted to exceed one, and positive and negative cross-price effects are allowed for in empirical demand analyses. Explicit calculations of the Allen elasticities of substitution are instrumental in demonstrating the economic implications of the parameters of indirect utility functions with global regularity properties and flexibility of the derived demand systems.     

On the Functional Form of Engel Curves: The Australian Household Expenditure Survey 1975–76*

This paper considers the properties of a class of models which is based on the Addilog demand system. These models not only fulfil the adding-up criterion but also ensure that the predicted expenditures are non-negative and a subset of these models permits the existence of saturation levels for certain commodities. A goodness of fit comparison between this class and other systems of Engel curves favours the Addilog model. The estimated expenditure elasticities compare favourably with previous estimates of Australian household expenditure patterns and it is observed that the elasticities for health and alcohol and tobacco expenditures have decreased substantially from their levels in the late 1960s.     

Disparities in income elasticities by ethnic origin

This paper uses expenditure survey data to analyse disparities in income elasticities of demand by ethnic origin. Engel curve estimates indicate that the food elasticity varies with ethnic origin, while the others are quite similar. With data on five food commodities, the income elasticities display considerable disparities.     

Regional consumption of antibiotics: A demand system approach

Through this paper, we have attempted to model the demand for different classes of antibiotics used for respiratory infections in outpatient care in Switzerland using a spatial version of the linear approximate Almost Ideal Demand System (AIDS) model. This model takes spatial dependency into account by means of spatial lags of antibiotic budget shares. We control for the health status of patients and the potential harmful effects of antibiotic use in terms of bacterial resistance. Elasticities to socioeconomic determinants of consumption and own- and cross-price elasticities between different groups of antibiotic have also been computed in this paper. Significant cross-price elasticities are found between newer or more expensive generations and older or less expensive generations of antibiotics.     

Effects of Changes in Household Size,Consumer Taste & Preferences on Demand Pattern in India

Current research in applied demand analysis has been addressing the twin issues of degree of non-linearity or curvature of the Engel curves and the ability to capture price effects appropriately by the demand system. Further, in addition to income and prices, the role of demographic variables like household size, composition and dynamic aspects like consumer taste & preferences are also being ’ emphasized in recent literature. Continuous efforts are being made to modify the existing models and propose new ones to incorporate the above developments. The purpose of this study is to re-examine the usefulness of the popular linear expenditure system vis-à-vis the two other flexible models viz. Nasse expenditure system, a generalization of the linear expenditure system itself, and the almost ideal demand system in the above context for India.The empirical results indicate wide variation in marginal budget shares and demand elasticities across income groups, rural-urban sectors and alternative models. The household size and consumer taste & preferences are found to be statistically significant. The results confirm the earlier findings that there are significant changes in consumer tastes away from cereals and pulses in favor of other food and nonfood commodities. The results also show that flexible models, which are theoretically superior, gave unacceptable positive price responses for some commodities and violated second order conditions of utility maximization. It is found that some ad-hoc separability restrictions are needed, thereby limiting the flexibility of the model, to get negative own-price responses in these models. But, second order conditions are still violated. The tests of nested hypotheses also confirm the need for inclusion of household size, consumer taste, income group and rural-urban dummies along with their interaction variables in the demand system.

     

Expenditure elasticities of the demand for leisure services

Although some research has already focused on the analysis of expenditure elasticities of leisure demand, some shortcomings with regard to the content and the underlying theoretical model as well as the applied methods exist. This article aims at avoiding these problems to provide consistent derivatives of leisure service expenditure elasticities. Therefore, a regular demand system is derived from microeconomic duality theory. To implement leisure specific demand factors (i.e. demand- and supply-based sports and recreational opportunities as well as sports and recreational preferences) while still being consistent with neoclassical demand theory, the basic model is extended by applying the demographic translation framework. Data of the continuous household budget survey (n?=?7724) from Germany is used for the estimation of the derived demand system. It is shown how sensitive the results are depending on the applied (censored) regression model: 16 out of 18 analysed services are indicated as luxury goods based on the findings of the Tobit model type I but as necessities based on the findings of the Tobit model type II. Possible implications are presented and discussed.     

Simultaneous-equation estimation with no instrumental variables

For a single equation in a system of linear equations, estimation by instrumental variables is the standard approach. In practice, however, it is often difficult to find valid instruments. This letter outlines a maximum-likelihood method that does not require instrumental variables; it is applied to the estimation of a demand function and an Engel curve.     

Meat and fish consumption patterns in Saudi Arabia

This study analyses the demand for meat (beef, chicken and lamb) and fish in Saudi Arabia in a system-wide framework using data for the period 1985–2010. A preliminary data analysis reveals that, in Saudi Arabia, the relative consumption of beef, chicken and fish has a positive growth, while lamb has a negative growth. The average relative price growth rates of beef, chicken and fish are negative, while that of lamb is positive. The expenditure shares of beef, chicken and fish have increased while that of lamb has fallen. The estimation results of the demand system reveal that there is an autonomous trend out of lamb into beef, chicken and fish. The implied income elasticities indicate that beef, lamb and fish are considered to be luxuries, while chicken is a necessity. The demand for all meat products and fish are price inelastic. These elasticities are key inputs for policy analysts in terms of devising policies in relation to meat production, meat imports, taxation and food security issues in Saudi Arabia. The usefulness of the implied elasticities is demonstrated by simulating the consumption of beef, chicken, lamb and fish under various policy scenarios.     

A cross-country tabulation of income elasticities of demand

International cross-sectional Engel curve estimates are used to compute income elasticities of demand for eight commodity groups and 15 countries.     

An empirical comparison of nonparametric and parametric Engel functions

Nonparametric techniques are used to estimate income densities, Engel functions and their derivatives, and income elasticities. Nonparametric kernel methods give less ambiguous estimates of the densities than discrete, maximum penalised likelihood estimation. The nonparametric estimates of the Engel functions, their derivatives, and the income elasticities are compared with some corresponding parametric estimates. The nonparametrically estimated Engel functions provide a better fit to the data. Also, the nonparametric elasticity estimates are qualitatively similar to the parametric estimates. Some statistically significant differences are observed between the parametric versus nonparametric estimates, but not to the extent of having any major policy implications.     

The competitive nature of the nursing home industry: price mark ups and demand elasticities

Nursing home markets are likely to deviate from a competitive structure because of limitations on entry imposed by Certificate of Need (CON) regulations and the potential for product differentiation along such attributes as location, religious affiliation and quality. This paper investigates the structure of nursing home markets in New York State by calculating price mark ups and residual private pay demand elasticities. It shows that the residual demand elasticity is bound by estimates based on price mark ups above marginal costs and above Medicaid rates. This approach allows estimation of demand elasticities in all markets, whether or not CON regulations constrain bed supply. Mean price elasticities (in absolute value) calculated for nursing homes in New York State in 1991 ranged from 3.46 to 3.85.     

Consumer demand functions,Spain, 1958–1964

Barten's maximum likelihood method (European Economic Review, Fall 1969) is used to estimate demand systems for Spain, under the assumptions of constant elasticities and constant marginal budget shares, respectively. It is shown in which sense the second assumption gives “better” results. In both cases, the homogeneity restriction is rejected, using the maximum likelihood ratio test. But once homogeneity is imposed, the symmetry restriction cannot be rejected.     

Long–run price and income elasticities of demand for Hong Kong exports: a structural cointegrating VAR approach

This article revisits a system of export volume and price equations to estimate the long–run price and income effects in the demand for Hong Kong's exports. Using a recently developed restricted cointegrating VAR approach it tests theorybased restrictions and obtains estimates of the long–run structural coefficients. The estimation results provide supporting evidence for the theory–based restrictions and suggest that the demand for Hong Kong's exports is both price and income elastic. This article is therefore able to present a long–run model of Hong Kong's exports that is both theory and data consistent, and long–run elasticities that are economically interpretable. The short–run properties of the model are illustrated by means of persistence profiles, which confirm the cointegrating vectors tendency of convergence.     

A trigonometric flexible consumer demand system

Abstract.  This paper proposes the first ever empirical specification of a trigonometric demand system. The new model is potentially useful because of some attractive features. It is flexible, amenable to exact aggregation over consumers, possessed of trigonometric Engel curves, which can oscillate, and able to have an unusually large regular region. With comparisons between the new model and two other popular models, an illustration is given for Japanese demand for non‐durables and services. The new model shows relatively gentle Engel curves with an inflection point on each of them, which seem reasonable, given that aggregate expenditure is used in parameter estimation. JEL classification: C51, D12     

Are sports teams multiproduct firms?

The appropriate conception of team outputs is investigated by estimating a two-output factor demand system for baseball teams, relative to which single-output models are rejected. This finding is robust to alternative approaches to testing and model choice. The factor demands are those of the symmetric generalized McFadden cost function, which has several advantages in this context. The team factor inputs are the skill characteristics of players, the prices of which are obtained hedonically. In addition to investigating one- versus two-output models, the estimation results are used to obtain demand and substitution elasticities, factor input elasticities with respect to output, cost elasticities, and measures of economies of scale and scope. Although the results support a multiproduct conception of team production, output separability is not rejected, suggesting that team outputs may sometimes be adequately treated as a production aggregate.