Pareto Efficiency, Relative Prices, and Solutions to CGE Models

This paper analyzes Walrasian general equilibrium systems and calculates the static and dynamic solutions for competitive market equilibria. The Walrasian framework encompasses the basic multi-sector growth (MSG) models with neoclassical production technologies in N sectors (industries). The endogenous behavior of all relative prices and the sectorial allocation of the two primary factors (labor and capital) are analyzed in detail. The dynamic systems of Walrasian multi-sector economies and the family of solutions (time paths) for steady-state and persistent growth per capita are parametrically characterized. The technology parameters of the capital good industry are decisive for obtaining long-run per capita growth in closed (global) economies. Brief comments on the MSG literature are offered, together with short remarks on studies of industrial (structural) evolution and economic history.

Modelling the regional economic impacts of road pricing in an interregional general equilibrium framework

In Denmark in recent years there has been a substantial debate both popular and academic concerning the consequences of introducing road pricing - both the regional consequences and whether road pricing gives a double dividend by reducing environmental externalities and by financing a tax reform where the incentive to work is increased through reduction in income tax rates. In this paper, the discussion on road pricing in Denmark is summarised: In the last 10 years, tax reforms have moved the tax burden to environmental taxation and away from income taxation. The argument has been the "double dividend", where environmental tax reforms both induce environmental improvements and provide welfare gains from a reduction in income tax rates increasing labour supply and production. Lately, the existence of a double dividend has been questioned and it has been argued that only environmental reforms reducing the relative welfare from leisure time activities and increasing the benefits from working will give a double dividend. Next the distributional problems from road pricing are discussed. The point of departure is different road pricing schemes, which have been proposed in Denmark and the discussion of double dividend, where road pricing can be used to change the relative prices between working and leisure time activities. Finally, an applied interregional general equilibrium model for Danish municipalities, LINE is presented. The first results from the calculation with the model are presented and methods to model the double dividend are presented.

The General Interregional Price Model

In the input-output tradition regional and interregional spill-over and feedback effects are related to changes in the real economic activities. However, the effects of changes in costs and prices on real economic activity have usually been neglected, despite the fact that the redistributive effects from this dual element in the intra- and interregional economy might be considerable and have effects on economic activity, which are comparable with the quantity effects. CGE-models on the other hand have explicitly addressed this issue using non-linear functions to overcome theoretical problems related to the use of fixed coeffients, permitting for example a more satisfactory treatment of substitution between factors of production or commodities as well as the effects of changing costs on patterns of trade and other forms of interaction. Following the input-output tradition, a structural model for the formation of prices in a local economy involving the price determination through local economic interaction such as commuting and shopping an interregional interaction, such as trade the general interregional price model is derived. The equations of the general interregional price model are presented together with the solution of the model. The theoretical changes examined include a set of new geographical concepts and in the context of an interregional SAM the development of the two-by-two-by-two approach, involving two sets of actors (production units and institutional units), two types of markets (commodities and factors) and two locations (origin and destination). Finally, a simultaneous solution to the combined general interregional quantity and price model based upon the most simple link is outlined.

Long-Run Patterns of Demand: The Expenditure System of the CDES Indirect Utility Function - Theory and Applications

In this paper, we unify and extend the analytical and empirical application of the ”indirect addilog” expenditure system, introduced by Leser (1941), Somermeyer- Wit (1956) and Houthakker (1960). Using the Box-Cox transform, we present a parametric analysis of the Houthakker specification of the fundamental indirect utility function - called the CDES specification (constant differences of Allen elasticities of substitution) by Hanoch (1975). It is shown that the CDES demand system is less restrictive than implied by standard parameter restrictions in the literature, Hanoch (1975), Deaton & Muellbauer (1980), or else neither adequately indicated, Houthakker (1960), Silberberg & Suen (2001). Our parametric examination implies that Marshallian own-price elasticities are no longer restricted to being all larger than one in absolute value; hence CDES can now naturally exhibit both the inelastic and elastic own price elasticities of observable (Marshallian) demands. Furthermore, we argue that in computable general equilibrium models (CGE), the CDES compares favorably with other expenditure systems, e.g. the linear expenditure system (LES), since CDES and LES need the same outside information for calibration of the parameters, but CDES is not confined to constancy of marginal budget shares (linear Engel curves). Moreover, we show that the non-homothetic CDES preferences are a simple and natural extension of the homothetic CES (constant elasticities of substitution) preferences, and, accordingly, CDES can more realistically be used in specifying CGE models with a demand side of non-unitary income elasticities. A succint theoretical briefing of the CDES history with general and concise formulas is offered. We illustrate CDES estimation and the calculation of a comprehensive set of income and price elasticities by applying CDES to Danish budget survey data. With a large number budget items included, coherent numerical values for the income, own, and cross price elasticities, as shown here, seem nowhere calculated and available in the voluminous literature.CDES demand systems, non-homothetic preferences, general price elasticities, CGE modeling, budget data implementation

Selection for resistance against root pathogens in a pea composite cross

The possibility of improving resistance in pea against the root pathogen Aphanomyces euteiches using composite cross as a breeding and selection method was examined. In order to maintain acceptable agricultural features and high yield 6 out of the 8 parental varieties in the present composite-cross were commercially grown varieties. Populations of the composite cross were grown up to five generations with selection pressure in soil heavily infested with pea root pathogens or without selection pressure on soil free of pea root pathogens. Yield of populations of the F9 and F10 generations of the composite cross grown with selection pressure was on average 35% higher than that of the population obtained without selection pressure as well as the average yield of the 8 parentals of the composite cross, which were of similar magnitude. In healthy soil the yield was overall higher than in the pathogen-infested soil, but yield did not differ between the populations from the composite cross with and without selection pressure, which were also similar to the average yield of the 8 different parentals. Recombinant inbred lines (RILs) randomly selected from the F10 population with selection pressure developed 23% less root rot than the corresponding F10 population without selection pressure, when grown in field soil heavily infested with pea root pathogens. Surprisingly, greenhouse pot experiments with pure cultures of the pea root pathogen A. euteiches resulted in higher root disease, in RILs from populations with selection pressure than from corresponding RILs without selection pressure. Problems related to greenhouse screening for resistance is discussed as well as the possibilities of using composite cross as a method to improve resistance against root diseases in grain legumes

Modelling Transport in an Interregional General Equilibrium Model with Externalities

In this working paper the regional impacts of road pricing on cars are analysed taking into account externality effects from transportation on wages and productivity. In the paper the direct impacts from changes in transport costs on level of wages and productivity (=direct externality effects) have been estimated. The direct and derived impacts of road pricing have been analysed with AKF’s local economic model LINE and include the impacts on regional production, income and employment. LINE is an interregional general equilibrium model, which uses an interregional social accounting matrix (SAM-K) and a regional transport satellite account as the basis for modelling. Additionally, data from a GIS-system (Technical University of Copenhagen) on transport costs have been included to estimate the demand for transport commodities and increase in transport demand and costs due to road pricing. The direct effects on level of wages and productivity have been included into the model together with all the direct effects on commodity prices from road pricing. In the working paper the total impacts of road pricing have been subdivided into 2 components: 1) The wage effects of reducing income net of commuting of increasing transport cost by introduction of road pricing, 2) the labour contraction effect from increasing wages through increase in commuting cost and 3) the negative productivity effects of introducing road pricing. In total the impacts of road pricing are substantial. Regions with high level of average commuting cost (suburban areas in Greater Copenhagen) suffers most, whereas the centre of Copenhagen suffers least because of short commuting distances. In rural areas impacts are on or just below average because low level of road pricing.