Unit Versus Ad Valorem Taxes: The Private Ownership of Monopoly in General Equilibrium

Employing a general equilibrium framework, Blackorby and Murty prove that, with a monopoly and under 100% profit taxation and uniform lump‐sum transfers, the utility possibility sets of economies with unit and ad valorem taxes are identical. This welfare equivalence is in contrast to most previous studies, which demonstrate the superiority of the ad valorem tax in a partial equilibrium framework. In this paper, we relax the assumption of 100% profit taxation and allow the consumers to receive profit incomes from ownership of shares in the monopoly firm. We find that, under certain regularity conditions, for any fixed vector of profit shares, the utility possibility sets of economies with unit and ad valorem taxes are not generally identical. But it does not imply that one completely dominates the other. Rather, the two utility possibility frontiers cross each other. Additionally, employing a standard partial equilibrium welfare analysis, we show that the Marshallian social surpluses resulting from the two tax structures are identical when the government can implement unrestricted transfers.     

The Marshallian Market and the Walrasian Economy. Two Incompatible Bedfellows

The aim of this paper is to question a view which is usually taken for granted, namely that the Marshallian partial equilibrium and Walrasian general equilibrium analysis stand in a relationship of continuity. It will be claimed that the contrary is true: the generalisation of the Marshallian market does not lead to a Walrasian economy or, conversely, the Walrasian economy is not composed of Marshallian markets. To bring this point home, the basic methodological choices underpinning the analysis of the Marshallian market and of the Walrasian economy will be compared. The issue of why no full-fledged Marshallian representation of the economy has arisen which might stand as an alternative to the Walrasian account will also be investigated and a series of reasons for this lack of generalisation of the Marshallian market will be considered. Finally, it will be claimed that if the Marshallian economy concept has no explicit existence, it has nonetheless an implicit one. It forms the background against which a series of reasoning about the working of the economy as a whole, which cannot fit the Walrasian economy framework, are developed. No less prestigious names than those of Keynes, Hicks, Patinkin, Friedman, Clower and Leijonhufvud will be adduced as witnesses.     

'Interrelated prices' and Sraffa's critique of partial equilibrium

The early Marshallian literature recognized that, in most significant cases, long-period equilibrium analysis must consider families of interdependent markets which are in direct relation with each other. This perspective, which is different from both standard partial equilibrium and general equilibrium analysis, was developed mainly by two Italian authors, Maffeo Pantaleoni (1857–1924) and Marco Fanno (1878–1964). This paper is aimed at showing that this ‘interrelated prices’ literature has some points of contact with Piero Sraffa's critique of partial equilibrium analysis. It is argued that Sraffa places the case of a Marshallian decreasing returns industry in a context (rivalry for the use of a common factor in fixed supply) which was familiar to Pantaleoni-Fanno: both maintain that the markets involved are interdependent, even though they evaluate differently the possibility of a sensible equilibrium analysis.     

General equilibrium incidence analysis: The Harberger model after ten years

This survey paper summarizes and appraises the Harberger model of tax incidence and its extensions, modifications, and applications. It considers the shortcomings of Marshallian partial equilibrium incidence analysis and early efforts to overcome them, exposits a late vintage version of the Harberger model, explains how this relatively simple general equilibrium model overcomes many of the shortcomings of earlier analysis, and describes several existing and potential modifications and applications and several inherent shortcomings of the model. It concludes that Harberger performed an invaluable service in providing public finance economists with an easily manageable general equilibrium incidence model.     

On duality and the benefit function

This paper investigates the duality relationships between Marshallian and compensated price-dependent consumer demands. We associate the compensated price-dependent demand with Luenberger’s benefit function, which has nice aggregation properties and provides a general basis for conducting welfare analysis. As an analog to the well-known “Slutsky equation,” we derive a “Luenberger equation” establishing the general relationships between Marshallian and compensated price-dependent slopes. Our duality results strengthen the conceptual linkages between positive economic analysis and welfare analysis.     

WAGE SUBSIDY AND WELFARE IN DEVELOPING COUNTRIES

This paper seeks to answer if wage subsidy to workers displaced due to trade reform raises welfare in a developing country. We use a general equilibrium model with non‐specific factor inputs and trade liberalization as a policy variable. A combination of wage subsidy and tariff rate obtains the second‐best welfare level. The theoretical result is new, policy‐relevant and important in view of political‐economy aspects of free trade in developing and transition countries.     

RESTRICTING EMPLOYMENT OF LOW‐PAID IMMIGRANTS: A GENERAL EQUILIBRIUM ASSESSMENT OF THE SOCIAL WELFARE IMPLICATIONS FOR LEGAL U.S. WAGE‐EARNERS

This paper builds on earlier work that used a general‐equilibrium model to show that reducing employment of unauthorized immigrants in the United States through a tighter border‐security policy lowers the average income of legal residents. Here we exploit further the detail available in the general‐equilibrium model to look at distributional effects, recognizing that the policy increases wage rates for low‐paid legal workers. We assess the social welfare effect on legal workers using a constant elasticity of substitution social welfare function. We contrast our general‐equilibrium approach to immigration analysis with the more commonly used partial‐equilibrium, econometric approach. (JEL D63, J61, C68)     

Evaluation of Welfare Change in Quantity-Constrained Regimes*

There are many circumstances where individuals are subject to constraints other than income and prices. Evaluation of welfare change from a price-taking position to a quantity-constrained position presents special problems. While remaining firmly in the partial-equilibrium tradition, indifference curves in the price-quantity space are applied to the identification of an equivalent variation. a modified Marshallian measure and a compensating variation in quantity-constrained situations. These measures satisfy the condition of CV < MS < EV for a normal good. A Marshallian measure that has been used—the ‘simple Marshallian measure’—is shown to have a considerable drawback.     

Equal treatment and socially optimal R&D in duopoly with one‐way spillovers

This paper examines the standard symmetric two‐period R&D model with a deterministic one‐way spillover structure: know‐how flows only from the high R&D firm to the low R&D firm (but not vice versa). Though firms are ex ante identical, one obtains a unique asymmetric equilibrium (pair) in R&D investments, leading to interfirm heterogeneity in the industry. R&D cooperation by means of a joint lab is considered and compared to the non cooperative solution. The main part of the paper provides a second‐best welfare analysis in which we show that the joint lab yields a socially optimal R&D level subject to an equal treatment (of firms) constraint, which also coincides with the noncooperative solution in the absence of spillovers. We also investigate the welfare costs of this equal treatment constraint and find that they can be quite significant.     

Game theoretic modeling of increasing returns to scale

This paper surveys the analysis, by means of cooperative game theory, of economies in which there are increasing returns to scale. In the first section necessary and sufficient conditions for the existence of a core of a general equilibrium economy are considered. In the second section, the partial equilibrium approach to increasing returns production, which developed along with the natural monopoly literature, is surveyed. The close relationship between the general equilibrium and partial equilibrium approaches is emphasized.     

International Trade with a Public Intermediate Good and the Gains from Trade*

This paper presents a one‐primary factor, two‐consumer good, and two‐country model of international trade where each country’s government supplies a country‐specific public intermediate good so as to attain efficient production. By introducing the Marshallian adjustment process, it is demonstrated that the country with larger factor endowment exports the good whose productivity is more sensitive to the public intermediate good. Our normative analysis of free trade shows the following results. First, at least one country gains from trade. Secondly, if a country incompletely specializes in the trading equilibrium, the country necessarily loses from trade.     

Tax Policies,Regional Trade Agreements and Foreign Direct Investment: A Welfare Analysis

In this paper, we develop a partial equilibrium three‐country model to examine the relationship between regional trade agreements (RTAs) and foreign direct investment (FDI) in an environment with double taxation. Our analysis shows that FDI is welfare‐improving for at least one or both of the two regional countries if wage asymmetry is significantly large. FDI and an RTA are also welfare‐improving for the high‐wage country and the region if the wage differential is not small. We also examine the role of repatriation taxes in affecting the determination of firm location under an RTA. Our results suggest that the signing of an RTA may induce relocation from the high‐wage country to the low‐wage country unless an increase in the repatriation tax rate also occurs.     

Ricardian Comparative Advantage and Geographical Concentration

This paper analyses geographical concentration using the continuum‐of‐goods trade model in the presence of labor migration, Ricardian comparative advantage and Marshallian‐type external increasing returns to scale. The findings show that higher transportation costs lead to concentration in one region, and lower transportation costs lead to diversification between the regions. For intermediate transportation costs, asymmetric diversification becomes a stable equilibrium in which the smaller population region has higher wage rates and a smaller externality, and vice versa. However, because the asymmetric equilibrium is an inefficient outcome, it leaves room for government intervention.     

COMPARING PARTIAL AND GENERAL EQUILIBRIUM ESTIMATES OF THE WELFARE COST OF INFLATION

Reserve banks worldwide have been moving towards zero inflation policies. Confusion clouds the welfare cost of maintaining such inflation policies despite the best attempts at clarification. Monetary theory research has shifted from partial to general equilibrium economies. This shift has left the partial equilibrium estimates of the welfare cost of inflation below most of the general equilibrium estimates. Put on a comparable basis, partial equilibrium estimates compare more closely with the general equilibrium estimates. Furthermore, evidence suggests that integration under the money demand function appears applicable in general equilibrium economies. Finally, the estimates depend on the elasticities of money demand and the underlying structural parameters.     

QUALITY DIFFERENTIATION,WELFARE, AND THE MODE OF COMPETITION IN A VERTICALLY DIFFERENTIATED PRODUCT MARKET: A NOTE*

We analyse the implications of quality differences in a vertically differentiated product market for social welfare by employing an endogenous quality choice model. We find that in of Bertrand and Cournot duopolies, the degree of quality differentiation at equilibrium in an unregulated market is larger or smaller, respectively, than that of the socially second‐best optimum. This implies that a reduction in quality difference, respectively, increases or decreases social welfare in the case of Bertrand or Cournot duopolies.     

An appraisal of Piero Sraffa's 'The Laws of Returns under Competitive Conditions'

The paper proposes a new interpretation of Sraffa's 1926 Economic Journal article, ‘The Laws of Returns under Competitive Conditions’, according to which the latter derives from the same strategy of research which underlies its 1925 Italian precursor, ‘Sulle relazioni fra costo e quantità prodotta’. Sraffa tested the explanatory power of a Marshallian monopolistic partial equilibrium model and concluded that that model is able to treat one source of variable returns (firm-internal economies); but this articulation of Marshall‘s theory does not substantially improve on the trade-off between logical consistency and empirical relevance which afflicted the theory in its whole.     

New vehicle feebates

New vehicle feebate programs encourage improved fleet‐wide vehicle fuel efficiency; yet analyses of these policies have been limited to ad hoc proposals. In this paper, we exploit an extensive, multi‐year dataset which includes more than 16 million observations to evaluate the welfare implications of a long‐standing vehicle feebate program in the Canadian province of Ontario. We: (1) show that second‐best optimal feebates can be written as a function of new vehicle Pigouvian taxes; (2) find that Ontario's feebate program was welfare‐enhancing relative to a no feebate scenario but that a second‐best optimal benchmark would have yielded additional welfare while reducing fleet‐wide emissions; and (3) find that Ontarian consumers responded asymmetrically to fees versus rebates.     

Saving the public from the private? Incentives and outcomes in dual practice

We consider a monopoly physician offering free public treatment and, if allowed, a private treatment for which patients have to pay out of pocket. While patients differ in the propensity to benefit from private treatment it always yields better health outcomes than public treatment but is also more costly in terms of money and time. We study the physician's supply of private care and allocation of time costs across public and private patients and contrast these with the first‐best allocation. To increase the willingness‐to‐pay for private treatment the physician shifts time costs to public patients. While this turns out to be socially optimal, the resulting positive network effect leads to an over‐provision of private care if time costs are sufficiently high. A second‐best allocation arises when the health authority sets public reimbursement but has no control over private provision. Depending on the welfare weight the health authority attaches to physician profits, a ban of dual practice may improve on the second‐best allocation. Notably, a ban benefits not only public patients but also private patients with a moderate propensity to benefit from private care.     

A discrete choice equilibrium approach to valuing large environmental changes

This study develops a discrete choice locational equilibrium model to evaluate the benefits of the air quality improvements that occurred in the Los Angeles area following the 1990 Clean Air Act Amendments (CAAA). The discrete choice equilibrium approach accounts for the fact that air quality improvements brought about by the 1990 CAAA will change housing choices and prices. The study also provides new evidence for the distributional welfare impacts of the 1990 CAAA in the Los Angeles area. Findings suggest that the air quality improvements that occurred in the Los Angeles area between 1990 and 2000 provided substantial general equilibrium benefits to households. The analysis reveals noticeable differences between partial and general equilibrium welfare gains, demonstrating that ignoring equilibrium effects will likely misrepresent the benefits of large environmental changes. In addition, we find that the equilibrium welfare impacts of the 1990 CAAA in the Los Angeles area varied significantly across income groups.     

Leadership and Privatisation in a Mixed Multi‐product Oligopoly: An Endogenous Timing Model

This paper examines both leadership choice and welfare consequences of privatisation in an endogenous timing mixed multi‐product oligopoly. It shows that a multi‐product firm undermines the welfare‐maximising efforts of a public firm by cross‐subsidising. The paper demonstrates that a unique subgame perfect Nash equilibrium emerges in a multi‐product market, in contrast to the multiple equilibria of a single‐product market. This unique equilibrium indicates that profit‐maximising private firms retain leadership while a welfare‐maximising public firm acts as a follower. Even on the off‐equilibrium path where the public firm acts as a leader, it rarely generates maximum social welfare. However, privatising the public firm usually harms social welfare and results in a different timing structure in equilibrium.