Inverse demand systems and choice of functional form

Barten (Empirical Economics 18 (1993) 129) recently advocated estimation of a synthetic demand system that mechanically nests four other popular differential demand models. This paper follows a similar strategy, but in the context of four inverse share-equation demand systems: The Inverse Translog Demand System (ITLDS); the Inverse Almost Ideal Demand System (IAIDS); the Inverse Lewbel Demand System (ILDS); and the Inverse Non-Separable Linear Expenditure System (INLES). Each of these specifications is artificially nested in a Hybrid Inverse Demand System (HIDS). An empirical application to three categories of quarterly U.S. meat demand data over the period 1961-1996 indicates the HIDS is a preferred specification.     

Do environmental benefits matter? Evidence from a choice experiment among house owners in Germany

Residential buildings strongly contribute to global CO₂ emissions due to the high energy demand for electricity and heating, particularly in industrialised countries. Within the EU, decentralised heat generation is of particular relevance for future climate policy, as its emissions are not covered by the EU ETS. We conducted a choice experiment concerning energy retrofits for existing houses in Germany. In the experiment, the approximately 400 sampled house owners could either choose a modern heating system or an improved thermal insulation for their home. We used standard and mixed logit specifications to analyse the choice data. We found environmental benefits to have a significant impact on choices of heating systems. However, they played no role in terms of insulation choices. Based on the estimated mixed logit model, we further obtained willingness-to-pay (WTP) measures for CO₂ savings.     

A family of inverse demand systems and choice of functional form

Barten's (1992) analysis of choice of functional form for quantity-dependent demand systems is extended to price-dependent or inverse demand systems. Alternative inverse demand systems combining the features of the Rotterdam inverse demand and almost ideal inverse demand systems are examined. Choice of functional form is made through a synthetic model which under appropriate restrictions yields the different inverse demand systems. The synthetic model itself can also be considered a more flexible specification.     

The empirical content of Cournot competition

We consider the testable implications of the Cournot model of market competition. Our approach is nonparametric in the sense that we abstain from imposing any functional specification on market demand and firm cost functions. We derive necessary and sufficient conditions for (reduced form) equilibrium market price and quantity functions to be consistent with the Cournot model. In addition, we present identification results for the corresponding inverse market demand function and the firm cost functions. Finally, we use our approach to derive testable restrictions for the models of perfect competition, collusion and conjectural variations. This identifies the conditions under which these different models are empirically distinguishable from the Cournot model. We also investigate empirical issues (measurement error and omitted variables) related to bringing our testable restrictions to data.     

Information transmission and incentives not to price discriminate

This paper analyzes how the pricing policy of an incumbent may signal information not only on the demand level but also on the demand composition. A signalling game with two periods and two players (an established firm and a potential entrant) is considered. The potential entrant has incomplete information on market demand. There exist many sequential equilibria in which the uniform price policy acts as an entry deterrence device by hiding actual market profitability. We can interpret the uniform pricing policy as a rejection of the use of superior information on market demand composition in order to reduce the entrant's expected profits.     

Errors of aggregation and errors of specification in a consumer demand model: a theoretical note

Abstract .  Consumer demand models based on the concept of a representative or average consumer suffer from aggregation error. Misspecification of the underlying micro utility-maximizing model, which is virtually inevitable, also results in error. This note provides a theoretical investigation of the relationship between the two types of error. Misspecified expenditure support functions for demand systems at the micro level induce the same misspecified structure in the corresponding expenditure functions at the macro level, and the errors at the two levels are shown to be of similar order.     

A systemic approach to modelling and estimating demand for money(ies)

This article uses a consumer theory-based systemic approach to model the demand for monetary liquid asset holdings in Chile. We implement the suggestions and caveats of aggregation theory for the estimation of a demand system for liquid assets (monies) in static, dynamic and time-varying parameters setups. Our results are robust and theoretically consistent with consumer theory restrictions, as a system derived from a utility maximizing framework and a quasi concave utility function. In our estimations, we find stability of interest rate elasticities, in contrast to previous related literature. We also document evidence that long (short) maturity rates are associated to less (more) liquid assets.     

ECONOMIC UNCERTAINTY,MONETARY UNCERTAINTY AND THE DEMAND FOR MONEY IN AUSTRALIA

The demand for money and its stability in Australia has received a great deal of attention in the past and has resulted in its own literature. Depending upon estimation method and period of analysis, previous research has provided mixed findings. By including a measure of economic uncertainty and a measure of monetary uncertainty (both GARCH‐based) in the long‐run money demand for M3, and by using the bounds testing approach under which variables could be stationary or non‐stationary, we provide strong evidence that the M3 money demand in Australia is stable. Both uncertainty measures do have short‐run as well as long‐run effects on the demand for M3 in Australia, factors that previous research did not consider.     

Inflation, price dispersion, and market structure

In this paper, we use a novel data set containing prices from bazaars, convenience stores, and supermarkets in Istanbul to re-examine the relationship between price dispersion and inflation. Although existing evidence is mixed, we find positive and significant relationships between dispersion, on the one hand, and lagged dispersion and unexpected product-specific inflation on the other. We also find evidence that dispersion is initially decreasing in anticipated aggregate inflation but is eventually increasing. Finally, average price duration and dispersion are lowest in the bazaar. This is intuitive, since menu and search costs should be minimal in that market structure.     

Quantiles,corners, and the extensive margin of trade

We develop a simple method for the estimation of quantile regressions for corner solutions data (i.e., fully observed non-negative data that have a mixed distribution with a mass-point at zero), focussing particular attention on the case where the domain of the variate of interest is bounded both from below and from above. We use the proposed method to study the determinants of the extensive margin of trade and find that most regressors have very different impacts on different parts of the distribution.     

R&D investment,cash holdings and the financial crisis: evidence from Korean corporate data

This article examines the real effects of the financial crisis in 2008 on corporate R&D investment by analyzing firm-level panel data from 2005 to 2011 obtained from KIS-VALUE, a Korean corporate finance database. I estimate a dynamic panel model of R&D investment that includes an after-crisis dummy to reflect the effects of the external finance supply shock after the financial crisis, an interaction term of the dummy and cash holdings to measure the marginal effect of cash holdings after the crisis, investment opportunities (sales and the q ratio) and financial positions as the debt-equity ratio. The estimation implies a negative yet relatively small impact of the credit supply shock from the financial crisis on R&D investment and the mitigation of the negative impacts by cash holdings after the onset of the financial crisis, whereas the data show decreasing R&D investment and sales for the whole period. Based on the data and the estimation, I find that firms were able to lessen the pressure from diminishing market demand before the crisis using external finance, but they had to use internal financial sources after the crisis smooth R&D investment.     

On behavioral complementarity and its implications

We study the behavioral definition of complementary goods: if the price of one good increases, demand for a complementary good must decrease. We obtain its full implications for observable demand behavior (its testable implications), and for the consumer's underlying preferences. We characterize those data sets which can be generated by rational preferences exhibiting complementarities. The class of preferences that generate demand complements has Leontief and Cobb-Douglas as its as extreme members.     

Simultaneous estimation of income and price elasticities of export demand,scale economies and total factor productivity growth for Brazil

This article focuses on a growth model in which (unlike other models) low (high) export demand elasticities and the fact that developing countries are importers of capital goods help explaining the slow (high) growth of these countries in the transition and in the steady state. The question arises whether export demand elasticities are low or high. For answering this question, export demand elasticities for the case of Brazil are obtained by estimation of the model. As a by-product of estimating the model, we obtain estimates for total-factor productivity growth and for scale economies. Based on the results from estimation we calculate steady-state growth rates, engine and handmaiden effects of growth as well as dynamic steady-state gains from trade. The model and the results are discussed in regard to several strands of literature.     

The micro economics of group behavior: General characterization

We study the demand function of a group of S members facing a global budget constraint. Any vector belonging to the budget set can be consumed within the group, with no restriction on the form of individual preferences, the nature of individual consumptions or the form of the decision process beyond efficiency. Moreover, only the group aggregate behavior, summarized by its demand function, is observable. We provide necessary and (locally) sufficient restrictions that fully characterize the group's demand function, with and without distribution factors. We show that the private or public nature of consumption within the group is not testable from aggregate data on group behavior.     

A Bayesian approach to aggregation in demand systems: smoothing with perfect substitution priors

Demand analysis requires aggregation of commodities. Some are imposed at the data collection level, leaving some for the estimation level. When data are collected, the implicit assumption underlying the aggregation is perfect substitutability: one gallon of gasoline is viewed by consumers as equivalent to another gallon; hence, the two are added together. While such aggregation can be carried out further by the data analyst, it is difficult to incorporate perfect substitutability into the estimation of direct demand systems. Perfect substitution in that context implies discontinuous demand functions, which are not nested within standard empirical demand systems. Perfect substitution is much more easily handled in a system of inverse demands, though an empirical method to impose perfect substitutability in an inverse demand system has not previously appeared in the literature. In this article, we develop such a method, which allows perfect substitutability to be imposed as a prior restriction. We use Leamer’s information contract curve as a tool to flexibly impose the substitution restriction and to investigate consistency between the data and prior. We illustrate the method with an application to inverse demands for fish in Korea.     

SOME EMPIRICAL EVIDENCE ON DEMAND SYSTEM* AND OPTIMAL COMMODITY TAXATION

We have two major tasks in this paper. The first is to obtain a reasonable estimate of the Japanese demand system, which includes leisure, income and commodity choices. The second is to compute and evaluate the optimal tax equilibrium. The estimation result, based on the Almost Ideal Demand System, is found to be consistent with the microeconomic theory. We evaluate the optimal commodity tax structure by calculating the equilibria under lump‐sum, optimal commodity and uniform commodity taxation schemes. The deadweight losses under uniform taxation are very small, and the optimal commodity tax rates are strikingly close to uniform.     

Testable implications of transferable utility

Although the Transferable Utility (TU) assumption is widely used in micro theory, little is known about its testable consequences, and in particular how one can, from the observation of a group's demand, test whether the TU assumption is satisfied within this group. We derive a set of necessary and sufficient conditions on demand that characterize the TU context. The conditions are of two types. First, TU requires the group to behave as a single decision maker. Secondly, within the unitary setting, the representative utility generated by a TU framework must be of the Generalized Quasi-Linear (GQL) form. We derive testable properties of the demand function that fully characterize GQL utilities. These additional restrictions only involve specific prices - namely, those of the goods that are publicly consumed within the group.     

Dynamic properties of a Cournot–Bertrand duopoly game with differentiated products

In this paper we consider a Cournot–Bertrand duopoly model with linear demand and cost functions and with product differentiation. We propose a dynamic framework for the study of the stability properties of this kind of mixed oligopoly game, a rather neglected topic in the existing literature despite its relevance. In particular, in this paper we highlight the role of best response dynamics and of an adaptive adjustment mechanism for the stability of the equilibrium.     

R&D competition between public and private sectors

We investigate a mixed market where a welfare-maximizing public research institute competes against profit-maximizing private firms. We investigate R&D competition by using a standard model of patent races where each firm chooses both its innovation size and R&D expenditure. We find that the innovation size (R&D expenditure) chosen by the public institute is too small (too large) from the viewpoint of social welfare, respectively, and so the government should control the public institute appropriately. We also discuss the welfare implications of privatization of public research institutes.     

Indirect addilog translation of indirect utility functions

Abstract .  The difficulty of specifying a set of consumer demand equations that can simultaneously display compatibility with rational economic behaviour (regularity) and have the capacity to represent a comprehensive spectrum of consumer behaviour (flexibility) is well known. A variety of approaches have been investigated in the literature, but scope for substantial improvement remains. The approach of this paper is to start from indirect utility functions producing globally regular, if inflexible, systems and to improve flexibility by adding parameters through a device termed 'indirect addilog translation.'