OWN‐ AND CROSS‐PRICE ELASTICITIES FOR GAMES WITHIN A STATE LOTTERY PORTFOLIO

Lotto demand modeling typically focuses on a single game and evaluates whether estimated “effective price” (expected loss from buying one ticket) elasticity is consistent with net revenue maximization. However, a portfolio of several different lottery games is now usually offered to players and judging the effectiveness of agencies in generating revenue requires estimation of both cross‐price and own‐price elasticities. Here we employ data from Spain to derive elasticities. Results imply that games are under‐priced if net revenue maximization is the goal. But the cross‐price estimates suggest that the operator is successful in limiting the extent to which a large jackpot on one game cannibalizes same‐week sales of other games. The paper also analyzes the impacts from two increases in the level of entry fees introduced during the data period. These appear to have affected net revenue favorably. (JEL D12, G11, H27, H30, L83)     

THE (AGGREGATE) DEMAND FOR STATE‐LOTTERY TICKETS: WHAT HAVE WE REALLY LEARNED?

Lottery‐demand models using aggregate data are often used to make inferences regarding individual behavior, the most important being the distributional burden of lottery‐ticket expenditures. It is shown here that estimates for the income elasticity and the cross‐price elasticity will only be representative of individual behavior under extremely restrictive assumptions. In fact, estimation of aggregate‐demand models presupposes that the income elasticity is equal to one. Cross‐sectional analyses using microlevel data face similar restrictions on consumer behavior. Remedies are discussed, but more conclusive evidence on the distributional burden of lotteries will remain elusive until better individual‐level data become available. (JEL D11, H71, H22)     

Kalman filter and the demand for cigarettes

kalman filter estimates of price, income and advertising elasticities are presented. An analysis of structural change in the demand for cigarettes in the US for the period 1929–86 is made. Estimated price and income elasticities are generally smaller, and the advertising elasticity larger, than estimates previously found. Cigarette demand is inelastic with respect to price and income, and advertising elasticity is statistically insignificant for the most part. Furthermore, both income and price elasticities decline over time while advertising elasticity tends to rise. Four time periods where structural change has occurred are identified. The health scare reports and the Fairness Doctrine Act have a significant impact on per capita cigarette consumption.     

Estimation of an implied price elasticity of demand through current pricing practices

Researchers have long pursued better methods to estimate price elasticity of market-level demand. Due to a plethora of empirical problems, the estimates produced in many empirical studies leave researchers with wide confidence intervals that do little to clarify demand conditions. As a result, these estimates are of limited practical use to the firm facing a firm-level demand. Here, a non-statistical methodology based on seller optimization behaviour is applied that creates an ‘implied elasticity’ of firm-level demand that is robust, intuitively plausible and free of oppressive data requirements. These elasticities are tested in an applied setting against pricing managers’ surveyed estimates for customer price sensitivity for freight rail transportation services and it is found that the estimate is consistent with their pricing behaviour. This methodology is recommended for creating a simple, plausible starting point estimate for firm-level price elasticities, or using this calculation as an input to statistical studies.     

Are estimates of labour demand functions mere statistical artefacts?

This paper considers the estimation of putative neoclassical aggregate labour demand functions using constant price value data. Regression results normally find that employment is negatively related to the real wage and that the constant‐output elasticity of employment with respect to the real wage is about ?0.3. This is taken as evidence that unemployment is the result of the real wage being too high, ceteris paribus. This paper shows that these estimates are purely the result of an underlying identity and cannot be interpreted as implying any causal relationship and, as such, they have no policy implications.     

Elasticity estimates of farmed salmon demand in Spain and Italy

In this paper, estimates of the elasticities that characterize the structure of demand for farmed salmon in Spain and Italy are reported. The demand models are specified using a Box-Cox transformation of the variables and a Hausman test is used to determine price endogeneity in the demand equations. The results show short-run unitary own-price elasticity of demand for farmed salmon in both markets, but long run estimates show significant elastic price response. Short run substitution of salmon for other fish species is not observed and, for both Spain and Italy, farmed salmon is characterized as a luxury good. Interestingly, we show that our a priori expectations about own-price elasticities being lower in smaller market areas is confirmed. Finally, the results obtained are compared to other recent results reported in the salmon demand literature.     

The effects of price on household demand for food and calories in poor countries: are our databases giving reliable estimates?

Food price policy relies heavily on estimated price elasticities of food demand to help balance the nutritional and economic objectives in poor countries. Economists use either unit values (ratios of household expenditure to quantity purchased) or community prices (enumerated from vendors in local markets) as proxies for market prices when estimating price elasticities with household survey data. Biases are believed to result from using unit values, due to measurement error and quality effects, but evidence on this issue is lacking and even less is known about community prices. This article provides an empirical evidence from Vietnam, which suggests that economists should exercise caution when estimating price elasticities from household surveys. A 14-food demand system is estimated alternatively with unit values or community prices, and the elasticity of calories with respect to rice prices is calculated. This elasticity is more than twice as large (?0.54 versus ?0.22) when community prices are used rather than unit values. Hence, conclusions about the nutritional effects of rice price increases appear sensitive to data choices made by economists. More generally, this discrepancy suggests that the household survey databases commonly used by economists may not provide reliable estimates.     

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.     

Demand elasticities for international message telephone service

Using a point-to-point model of toll demand, this paper provides estimates of own-price demand elasticities for international message telephone service. The study improves on previous studies by using more recent data and endogenizing price. Consistent with earlier studies, the demand for IMTS is found to be price inelastic, about??0.28 on average, in the short-run and near unitary elastic,??1.04 on average, in the long run. Both the level and the elasticity of demand are found to be positively related to the size of the telephone network. The own-price elasticity of demand for a select group of countries is provided.     

Nachfragefunktionen für die Produktionsfaktoren Arbeit und Kapital

Summary In this paper we present dynamic factor demand functions for labour and capital, and the underlying production function for the Austrian economy. Our approach is neoclassical. By definition, the production function is of the Cobb-Douglas type; experiments with a CES production function were not successful. Our empirical results look very plausible. The adjustement speeds, the output and price elasticities of both factor demand functions, as well as the parameters of the underlying production function are of a order of magnitude highly compatible with neoclassical theory.     

Residential Water Demand in the Northwest of Spain

A panel of monthly aggregate data from the Northwest of Spain is used to estimate domestic water demand functions under linear and non-linear tariffs. Price, billing, climatic, and sociodemographic variables are used as explanatory variables. The use of intraannual data constitutes a relevant contribution in the European context. Overall marginal price elasticity estimates lie between –0.12 and –0.17. Summer-only elasticities and elasticities associated with uses beyond the effectively free allowances seem significantly higher. Climatic variables significantly affect monthly use, although probably less than in other wealthier and drier areas. Domestic water use appears to be a normal good.     

Labour substitution and complementarity among age–sex groups

We measure substitution in production for major age-sex groups in ten industries. These estimates are important for productivity studies, for modelling derives demand for labour and for formulating policies that deal with anticipated trends in the age-sex composition of the labour force. We use Sato's two-level CES production to estimate Hicks partial factor price elasticities, with quarterly time-series taken from the Social Security Continuous Work History Sample (1958 to 1975). Own elasticities are generally small and negative but vary considerably across industries. Cross elasticities show complementarity among most groups, except for younger and older females, who are subtitutes.     

Estimation of the effects of price on apartment water demand using cointegration and error correction techniques

Water price is a key instrument in regulating water demand in the residential sector. Many empirical studies have assessed the effects of price through quantifying the price elasticity of water demand. However, most of these studies have mainly focused on the single-family housing rather the multifamily housing. An in-depth understanding of the price elasticity of multifamily housing water demand is paramount for water planners in order to properly manage water use in the fast growing intensive housing developments in urban areas. This study investigates both the long-term and short-term price elasticities of water demand in the residential apartments in Auckland central city. Using 6 years of monthly time series data, the price elasticities were estimated through cointegration and error correction methods. The results showed that the price elasticities of water demand were ?0.14 and ?0.12 in the short term and the long term, respectively. The price is inelastic yet negative and statistically significant, thus it can play a role in demand management.     

Multiple equilibria in a growth model with monopolistic competition

Summary The standard neoclassical growth model is modified by introducing a market structure characterized by monopolistic competition and variable demand elasticities. In equilibrium, the price elasticity of the demand schedule facing a typical firm is a function of the aggregate savings rate. The latter feature results from an assumed wedge between the elasticity of substitution across goods in productive activities and that in consumption. In contrast with most examples in the literature our model does not require increasing returns (internal or external) in order to generate multiple equilibria.Thanks are due to Jess Benhabib, Duncan Foley, Oded Galor and participants in seminars at the Econometric Society Summer Meetings (Boston, 1993), NBER 1993 Summer Institute, CORE, UAB, and European University Institute for helpful comments.     

Long-Period Trade Elasticities for Canada, Japan, and the United States

Most analyses of imports use brief, postwar samples and offer a large range of elasticity estimates suggesting that the role of income and prices in determining imports is not known with any precision. This paper offers an analysis of that role using data since 1890 for Canada, Japan, and the United States. The elasticities of the log–linear model are estimated and found to be inconsistent with the view that income and prices affect imports. Optimization models are considered and found to predict secular changes in income and price elasticities and explain the dispersion of estimates of the literature.     

Household demand for fats and oils: two-step estimation of a censored demand system

A censored system of household fat and oil demand equations is estimated with a two-step procedure, using cross-sectional data from the 1987–1988 US Nationwide Food Consumption Survey. Own price and total expenditure elasticities are close to unity and there is no evidence of gross substitutability. Compensated elasticities suggest net substitution among the products considered.     

A neoclassical model of acreage response for labor-intensive agriculture: The case of Egypt

Acreage response studies of both developed and less developed countries have consistently misspecified the neoclassical model of profit maximization by relying onad hoc models which failed to account properly for the effects of input prices, yield changes and total acreage scale. Using Egyptian aggregate time-series data and maximum-likelihood estimation techniques (of dynamic systems), the present study attempts to model and test the full implications of cultivators rational behaviour as well as the technical and institutional peculiarities of Egyptian agriculture, in the spirit of neoclassical production theory. In addition to prices and government controls, the model introduced the wage rate, productivity changes and total agricultural area as determinants of acreage mix; these variables gain special importance (policy-wise) as we deal with the process of agricultural development in LDCs with labor-intensive agriculture. The estimates obtained are remarkably stable, econometrically sound and, as such, are believed to have come closer to avoiding specification bias than previous studies.     

Estimation of the value of the marginal product of emission in a country where emissions output is regulated — an empirical study

Emissions resulting from the production process can be characterized as use of the elimination and disposal services of the ecological system. Hence, they are use of natural resources and thus an input to production. The present paper discusses an approach to evaluate the returns of these kind of services as a production factor.First, four main types of industrial emission are chosen —SO ₂,CO ₂,NO _xandparticulate matter — and integrated in a Cobb-Douglas production function. With this approach, the production elasticities and the marginal product of these types of emission can be estimated.Based on these results and assuming that marginal product equals price, the demand curve for emission is estimated. With this demand curve the consequences of different kinds of environmental policy are considered. Under further assumptions of optimal behaviour it can be shown that the demand curve for emission is equal to the curve of marginal costs of avoidance (MCA). Thus, the estimates of the demand curves can be considered as estimates of the MCA-curves. Furthermore the price elasticities of these four types of emission are estimated with this approach. The method used in the paper is suggested for calibration of CGE models.     

Does the distinction between gross and value‐added exports matter? An empirical investigation of export elasticities

This study uses bilateral U.S. export data from the OECD’s Trade in Value‐Added database to estimate and compare elasticities for three distinct export measures: conventional measures of gross exports, domestic value added in gross exports, and value‐added exports. It finds little evidence of significant differences in the income elasticities across the three export measures or in the price elasticities of gross exports and domestic value added in gross exports. However it finds a significantly higher price elasticity for value‐added exports, suggesting that conventional price elasticity estimates may underestimate the impact of a real dollar depreciation on U.S. exports of value added.     

Are Armington elasticities different across countries and sectors? A European study

CGE models are widely used for policy evaluation and impact analysis especially with respect to trade reforms, tax reforms, energy sector reform and development policy analysis. However, the results of such models are often argued to be sensitive to the choice of exogenous parameters such as trade elasticities. Several authors show that the choice of the so-called Armington elasticities in the demand function has a strong influence on the simulation results. Most existing estimates of Armington elasticities are only for the US. The few studies for other countries find substantially differing results. Nevertheless, many CGE modelers simply adopt the elasticities from other studies disregarding specific country and model characteristics. This paper aims at providing estimated elasticities based on recent data for a larger group of European countries. Using cointegration and panel fixed effects analyses we estimate the first order condition resulting from cost minimization or utility maximization subject to the CES utility or cost function in imports and domestic goods. The results show a rather large variation across sectors and countries and the magnitude is only partly comparable to the US elasticities. Moreover, in a small CGE application we are able to show that changing the elasticity set has a quantitative and even qualitative impact on CGE model results, which confirms the concern that one might end up with biased results due to a misspecification of the elasticities.