The theory of household behaviour under rationing

This paper simplifies and extends the theory of household behaviour under rationing, using duality and the concept of ‘virtual’ prices. Slutsky-type equations, decomposing the derivatives of the rationed demand functions into income and substitution effects, are derived, and these derivatives are related to the corresponding derivatives of the unrationed demand functions for finite as well as infinitesimal ration levels. The results imply that the Keynesian demand multiplier is more likely but the Barro Grossman supply multiplier is less likely to exceed unity the further the household is from its unconstrained equilibrium.     

A revealed preference test of rationing

This paper derives a revealed preference test for utility maximization under rationing and can detect, for which goods rationing is binding without specifying a functional form or imposing rationing constraints prior to estimation. For UK data from 1920–55, we find evidence of utility maximization under rationing with rationing binding for food and other services. Estimated virtual prices exceed observed food prices by 16.5% in 1947 and observed prices of other services by 10.9% in 1952.     

RAMSEY TAXES MEET PRICE RIGIDITY

‘Ramsey taxes’ are commodity taxes that minimize deadweight loss. Evidence has shown dramatic differences in the extent of price rigidity across goods: while the prices of some goods change frequently, the prices of other goods seldom change. This paper examines Ramsey taxes in the presence of heterogeneous price rigidity. We find that, to minimize deadweight loss, lower (higher) tax rates should be imposed on goods with rigid prices if their relative prices are too high (low) relative to the would‐be situation of no price stickiness. Intuitively, Ramsey taxes remedy the relative price distortion caused by the price rigidity of some goods. We calibrate our model to data from Taiwan and the USA, showing a significant cut in welfare cost if Ramsey rather than uniform taxes are applied.     

Optimal Pollution Abatement Under ‘Sustainable’ and Other Social Time Preferences

This paper analyses optimal pollution abatement expenditure and the pricing of pollution under alternative social time preferences, including ‘sustainable’ preferences, defined as those that are consistent with two axioms of sustainable development introduced by Chichilnisky (Land Econ 73:467–491, 1997). These axioms state essentially that neither the welfare of present nor future generations ought to be favoured over the other in determining the socially optimal path of economic development. The method is to calibrate a modified Ramsey model of optimal global growth and saving, where pollution is generated by the global output of goods and services. Pollution in turn reduces output. The simulation results illustrate how sensitive the optimal pollution price and abatement expenditure can be over time to assumptions about the social time preference rate. They also show that ‘sustainable’ preferences impose a lower burden on future generations in terms of the pollution price and abatement expenditure. Hence there is a case for governments to make explicit their value judgments about intergenerational welfare, in the context of their notion of sustainable development, when setting target pollution abatement levels and pollution prices over time.     

Video game demand in Japan: a household data analysis

Various economic studies of the video game industry have focused on intra-industry details. This article complements the approach by highlighting broader budget allocation by households. Using the ‘total households’ data of the Family Income and Expenditure Survey, this article estimates the demand model for video games. Estimation results show the effects of household income and demographic factors and prices of goods on the expenditure share of video games. These results indicate the importance of explicitly considering a households' budget allocation, or at least, including information on households.     

Free trade and factor-price polarization

Factor-price equalization between trading partners is perhaps the best known implication of the Heckscher-Ohlin-Samuelson model of production and trade. It has long been known that with more primary factors than goods, this result is not necessary. Recent studies have investigated effects of changing prices on factor payments in the three-factor, two-good trade model. This short note emphasizes that when such an economy moves from autarky to free trade, payment to a relatively cheap factor may fall, ‘polarizing’ factor prices. Conditions favoring this outcome are examined.     

On generic vs. brand promotion of farm products in foreign markets

Farm groups and their governments spend millions of dollars each year advertising agricultural products in international markets. Intuitively, country-of-origin or ‘brand’ advertising should be more profitable than generic advertising in that it enhances product differentiation and reduces free riding. However, unlike generic advertising, brand advertising decreases the demand for competing imports and lowers their prices when supplies are upward sloping. In addition to inviting retaliation, the decline in the prices of competing products erodes the price of the advertised product through second-round or ‘market feedback’ effects. In this study, we develop a generalized model for assessing the relative effectiveness of generic and brand promotion in the international market when products are differentiated by source origin and supplies are uncontrolled. Applying the model to US beef promotion in Japan, we find that when brand and generic advertising are equally efficient in the sense that they cause equivalent horizontal shifts in the group and product-specific demand curves, generic advertising is indeed more profitable for most of the relevant parameter space. Distributional analysis suggests that, with equal export supply elasticities, the gross benefits of generic advertising are distributed across exporters in proportion to the expenditure elasticities for the products in question.     

Modelling structural change in the UK housing market: A comparison of alternative house price models

This paper develops a new approach to the modelling of house prices in the UK, with housing demand being conditioned directly on consumers' expenditure rather than the determinants of expenditure. Conditioning on consumption ensures that the permanent income measure used in determining the level of consumption is consistently reflected in housing demand. The effects of financial liberalisation on the relative consumption of housing and non-housing goods and services are captured using the average loan-value ratio for first-time buyers. We also allow for financial effects via the real user cost of home ownership. House prices are assumed to adjust so as to clear the housing market. The proposed model is found to have structurally stable parameters across the housing market downturn since 1990. Statistical comparisons with the more conventional models in use at HM Treasury and the Bank of England during the early 1990s provide additional evidence in favour of our proposed approach.     

The treatment of ‘quality’ in the cost of living index

This paper develops the implications of cost of living index theory for measuring the impact of changes in the availability and prices of goods on a household's welfare. It considers both the ‘goods approach’, which treats each variety as a separate entity, and two characteristics approaches: ‘L-characteristics’ and ‘H-characteristics’. L-characteristics are Lancaster's ‘linear and additive’ specification; H-characteristics are Houthakker's ‘heterogeneous’ specification in which the household consumes only a single variety of each product. The paper concludes by discussing the implications of the theory for actual index number construction and relating it to the literature on ‘quality’ and ‘hedonic indexes’.     

Demand complementarities and cross‐country price differences

Empirical studies document that markups vary across destinations. This paper proposes a novel mechanism to explain variation in markups: consumers’ utility from final goods and services depends on their consumption of complementary goods and services. In countries with more complementary goods and services, consumer demand is less elastic, enabling monopolistically competitive firms to charge higher prices. The paper provides empirical evidence documenting a dependence of prices on demand complementarities.     

On the disequilibrium dynamics of sequential monetary economies

The purpose of this paper is to study the dynamic behavior of a sequential monetary exchange economy. Transactions take place sequentially against non-equilibrium prices, there is quantity rationing, and credit or cash are the only means of exchange. Agents have optimistic or pessimistic expectations about quantity constraints that represent their beliefs about future trading opportunities.In the credit model the agents incur debts along the transition path towards equilibrium, while in the cash-in-advance model convergence takes place without the occurrence of any debts or claims. The credit mechanism is shown to act as a ‘soft’ correction mechanism on credit fluctuations, while the cash-in-advance constraint acts as a ‘hard’ negative feedback effect driving the prices back towards a neighborhood of a monetary cash-in-advance equilibrium.     

Re-evaluation of Welfare Changes during the Transition in Poland

The costs of shortages/rationing are not captured by standard consumer price indices. Thus the change in real GDP per capita is an over-estimate of welfare losses in transition economies. In this study virtual prices are used to calculate new cost of living indices, making it possible to construct more accurate pre-reform and post-reform welfare comparisons. The results for Poland using virtual prices show 62-84% decline in welfare over the transition 1987-92. This welfare loss is approximately one-third of the value obtained using actual prices.     

An efficiency and welfare classification of rationing by waiting in the presence of bribery

Governments often allocate commodities at low prices and on a first-come-first-served basis (rationing by waiting), while bureaucrats who distribute the commodities usually take bribes. A model is developed to classify the efficiency implications of bribery, and socially optimal pricing schemes in rationing by waiting. If the rationed good and individual income spent on other goods (‘other’ income) are ‘complements’, then bribery may enhance allocative efficiency, and a ‘dual pricing’ scheme can augment social welfare. However, if the rationed commodity and ‘other’ income are ‘substitutes’, then bribery may not improve allocative efficiency, and distributing the rationed commodity free is socially optimal.     

A note on Walrasian equilibria in non-Walrasian models

We demonstrate that equilibria termed ‘Walrasian’ in non-Walrasian models are generally not, but rather Hicksian Temporary Competitive Equilibria in expected virtual prices. They are only Walrasian when the expected virtual prices would clear all markets.     

UNDERSTANDING REAL EXCHANGE RATE MOVEMENTS WITH TRADE IN INTERMEDIATE PRODUCTS

We suggest that it may be ‘too easy’ to attribute real exchange rate movements to deviations from the law of one price. We show that it is immaterial whether one uses seemingly traded goods, nontraded goods, or even a single, unimportant consumer good, say beer. The ease of attributing the variation to any such deviations is explained using a model with intermediate goods trade. In the model, the stage of production determines the traded/nontraded distinction. We find empirical substantiation for the model: law of one price deviations lose explanatory power and, defined appropriately in terms of intermediate goods, relative prices matter.     

A system of equations model of UK tourism demand in neighbouring countries

This paper uses a system of equations model to examine tourism demand during periods of destination country transition and integration into the wider international community. The Almost Ideal Demand System model is applied to the UK demand for tourism in the neighbouring destinations, France, Spain and Portugal. Spain and Portugal are interesting cases as, during the period under consideration, they experienced a process of transition from economies with characteristics typical of developing countries, only entering the World Bank's industrialized countries classification in the 1980s. The paper examines the evolution of tourism demand during these countries' transition from ‘developing’ to ‘developed’ status. Consideration of France as a neighbouring destination also allows the behaviour of tourism demand to be compared between relatively rich and poor countries. The results show the extent to which the cross-country behaviour of demand becomes more or less similar over time with respect to changes in expenditure and effective prices. The expenditure elasticities are greater for Spain than France during the initial period, indicating that tourism can assist countries to ‘catch-up’ with their richer neighbours. However, this outcome is not always the case and may not persist, as Portugal had a low initial expenditure elasticity and Spain's relatively high expenditure elasticity decreased over time. Destinations' sensitivity to changes in their own and competitors' prices can also change over time, as indicated by the increases in the own- and cross-price elasticities for Spain, compared with the decreases for France and Portugal. The cross-price elasticity estimates indicate substitutability between the immediate neighbours, Portugal and Spain, and France and Spain.     

THE FISCAL DIVIDEND MYTH OF AN INCOME/GST TAX SWITCH*

Reaping a windfall fiscal dividend from the taxation of the ‘underground’ economy's expenditures on ‘legitimate’ commodities is often seen as a significant advantage for a goods and services tax (GST) over an income tax. This claim ignores the changes in prices in the underground economy which would arise from the introduction of a GST. Employing a general equilibrium model which allows for tax evasion, we show that any ‘dividend’ arising from a change in the income tax/GST mix is equivalent to a rise in the income tax rate without a GST.     

New products with a symmetric AIDS expenditure function

We study a symmetric AIDS expenditure function that allows for variation in the range of goods. Solving for the reservation prices for goods not available, a convenient form for the expenditure function is obtained. This functional form should prove useful in monopolistic competition models were the range of products changes due to entry and exit.     

Relative importance of sectoral and aggregate sources of price changes

This paper estimates a dynamic common factor model to assess relative importance of the aggregate and the sector-specific factors that determine changes in the prices of individual products. It also examines how aggregate price changes are affected by these factors. Two different specifications of the model are estimated: the baseline model with one aggregate factor, and a second specification with two aggregate factors. In the one-actor model, the aggregate factor contributes little to the movements of changes in prices, mostly of nondurable goods whereas it seems to have important contributions to the movements of changes in prices of commodity groups mainly used as intermediate or capital goods. In the specification with two aggregate factors, the additional factor has significant effects on changes in prices of ‘farm products’ and ‘processed foods and feeds’ only. Forecast-error variance decompositions of both aggregate and disaggregate price changes suggest that sectoral factors account for most of the variability at short horizons while the contributions of the aggregate factors increase as the time horizon lengthens. The results also show that sectoral factors are not only important for relative price changes but also have significant impact on aggregate inflation. The estimated common factors have statistically significant correlations with money growth and changes in the unemployment rate.