Prices and Deadweight Loss in Multiproduct Monopoly

The paper investigates prices and deadweight loss in multiproduct monopoly with linear interrelated demand and constant marginal costs. We show that, with commonly used models for linear demand such as the Bowley demand and vertically or horizontally differentiated demand, the price for each good is independent of demand cross‐effects and of the characteristics and number of other goods. This contrasts with the oft‐expressed view that prices critically depend on demand cross‐effects. We also show that for these linear models, the deadweight loss due to monopoly amounts to half the total monopoly profit. Finally, we show how a production subsidy might restore social efficiency.     

PRIMARY VERSUS SECONDARY PRODUCTION TECHNIQUES IN U.S. MANUFACTURING

In this paper we analyze the determinants of material inputs into individual production activities as a function of their outputs. We use observations on a large cross-section of U.S. manufacturing plants from the Census of Manufactures, including those that make goods primary to other industries, to study differences in production techniques. We find that in most cases material requirements do not depend on whether goods are made as primary products or as secondary products. We thus elucidate support for the commodity technology model as a useful working hypothesis.     

Cost relationships and challenges in the Spanish apparel industry

In the twenty-first century, the Spanish textile and apparel industries have faced substantial challenges, resulting in declining sales and employment. This study concentrates on the apparel industry, since its economic challenges and opportunities differ from those of the textile industry. The analysis employs a transcendental logarithmic cost function to investigate the presence of scale economies and the interrelationships among inputs of domestic capital, labour and intermediate goods as well as outsourced intermediate products for the Spanish apparel industry and discusses the implications for its future competitiveness and the demand for domestic inputs. The results are consistent with diseconomies of scale or, in the case of one model, possibly constant returns to scale, indicating that some contraction of the industry due to international competition will not raise unit costs. All of the inputs except for capital and intermediate goods were found to be substitutes. An important finding is that the cross elasticity values of both labour and domestic intermediate goods with respect to the price of outsourced goods have risen over time, indicating an increased sensitivity of the quantity demanded of these home-country inputs to the price of imported intermediate goods. It follows that domestic input markets will be more substantially affected by international prices for outsourced inputs as the industry tries to maintain its competitiveness in the global environment.     

REPLY: THE CONCEPT OF CAPITAL

Edward Denison and I agree that the correct theoretical concept of capital is to consider two capital goods equivalent if they generate the same real net revenue, defined as gross revenue minus variable operating costs measured at a fixed set of output and input prices. Although I showed in my book that the correct concept could be fully implemented for commercial aircraft and electric generating equipment, for other products I was able only partially to take operating costs into account. As a result, both Denison and I agree that my radical revision to the official capital goods deflators does not go far enough and is biased toward understating improvements in quality. Our disagreement comes down to research strategy: I believe that I have progressed partway toward the ultimate goal of implementing the correct concept, while he views such a full implementation as infeasible. As a result, he advocates a return to the traditional criterion of base-period production cost, even though this yields price deflators that ignore improvements in performance (as for computers) and improvements in operating efficiency (as for successive generations of jet aircraft) made possible by technological advances that reduct the cost of production.     

On the Samuelson–Etula Master Function and the capital controversy

Abstract

The paper addresses the ambiguity that surrounds the conception of capital and its role in neoclassical price-and-distribution theory. The difficulties encountered in the various attempts to define the marginal product either of capital or of a capital good are recalled and the conclusion is drawn that neither concept appears theoretically sound. This historical reconstruction is combined with critical discussion of the recent attempt by Paul Samuelson to determine income distribution by means of the “Master Function”, a device previously developed and presented by Samuelson himself with Erkko Etula, and its “non-neoclassical” marginal products. Rather than the existence of a continuum of alternative technical possibilities, this construction assumes the simultaneous use of a discrete number of methods of production for the same commodity. Even though each technique employs the inputs in fixed proportions, the coexistence of various techniques permits the full employment of an arbitrarily given vector of input endowments. As is shown here, however, the coexistence of methods required for the differentiability of the Master Function can take place, if heterogenous capital goods are used in production, neither in the case with stationary relative prices nor in the non-stationary Arrow–Debreu framework.     

Quality-enhancing trade liberalization

This paper examines the effect of trade liberalization on the quality of industrial goods produced by a developing country. The intermediate goods used as inputs to industrial production are assumed to be non-traded and produced by firms with market power. It is shown here that for a certain range of human capital levels, exposure to free trade, instead of resulting in de-industrialization, can raise welfare through an improvement in the quality of domestically produced industrial goods.     

Public intermediate goods and distortionary taxation

In the Pigovian tradition, when public intermediate goods are financed by distortionary taxation, expenditure should not be carried so far as to equate the sum of the marginal productivities with the marginal cost. This paper shows how this rule may break down when commodity taxes are used to finance public intermediate goods.     

On investment and exchange-rate movements

We investigate the ways in which permanent exchange-rate changes may affect investment by influencing domestic and foreign revenue, the cost of imported variable inputs and the investment price of imported capital goods. We find that the revenue and investment-price channels have a quantitatively greater effect on investment than the cost channel. The negative effect of the revenue channel, which affects the marginal profitability of capital, outweighs the positive effect of the investment-price channel, which affects the marginal cost of capital, implying that exchange-rate appreciation has a net negative influence on investment. The estimation results are robust to different approaches to extracting the permanent components of exchange rates.     

Should mobile capital pay for public infrastructure investment?

The paper contributes to the discussion of fiscal competition with infrastructure goods. We explicitly focus on the costs of providing public infrastructure capital that appear in the public budget as investment. Thus we analyse the problem in a dynamic framework. Public infrastructure is considered as a marginal product complement to private capital. A central result of the model is that the fact that public capital is a complement to private capital, so that an increase in the supply of public capital ceteris paribus improves the marginal productivity of private capital, cannot be used as an argument to support a source tax. The so-called indirect productivity effect on private capital induced by public inputs does not justify the taxation of mobile capital. Rather, the efficiency of a source tax on mobile capital income depends on the question of whether or not the public input generates a factor rent to private capital.

Anticipated Fiscal Policy Changes and Goods Market Adjustments

Abstract. Government policies are frequently known to be temporary and thus their termination is perfectly anticipated. These foreseen policy changes must be consistent with equilibrium in both the goods market and asset markets. Potential problems arise because prices often play dual roles, both as final goods prices, and as asset prices, as components of rates of return. We show how the economy accommodates an anticipated policy change depends upon its production flexibility and its structure. With flexible investment, an anticipated reduction in government expenditure is fully accommodated by capital accumulation. When investment involves adjustment costs, the marginal utility of wealth and the price of capital both jump so as to maintain equality among rates of return. Goods market clearance is maintained by a combination of increases in consumption and investment. Extensions of the model to include inventories and to a small open economy are also considered and contrasted.     

Complementarity,Linkages between Firms,and the Effect of Entry Costs on Productivity

In a general equilibrium model where firms are heterogeneous in terms of productivity, we introduce differentiated goods in production that are not perfect substitutes, as well as intermediate inputs needed to produce those goods. We show that an increase in either the complementarity of differentiated goods or the share of intermediate inputs in gross output, significantly increases the negative effect of entry costs on total factor productivity (TFP) and output per worker. We also find that the effect of complementarity is quantitatively stronger. If we assume an empirically plausible value for the elasticity of substitution between differentiated goods, then the model considerably improves its ability to reproduce the observed negative relationship between entry costs and TFP or output per worker.     

Foreign Management,International Capital,and Income Redistribution

This paper examines the impact of foreign management as a separate input in a competitive economy open to both international trade and international movement of productive capital. Three inputs (capital, labor, management) are used to produce two final goods in a model characterized by competition, homogeneous products, and full employment. This model provides a simple starting point for the study of multinational firm activity, building on the fundamental competitive factor proportions model of production and trade. A clear distinction arises between international movements of capital and management, and international movements of the two inputs are linked. [F 11, F 23]     

A ray of hope? Another look at the Italian textile industry

Despite increasing competition from newly industrializing countries, Italy’s textile industry has continued to be an important contributor to the domestic economy. Many observers attribute this resilience to the industry’s focus on quality. Here, we take note of that view but also examine production and cost relationships to explore the existence of returns to scale and the interrelationships among inputs to gain additional insights about the future prospects for this industry. The findings are consistent with constant returns to scale and a substitute relationship between all input pairs except for domestic capital and foreign intermediate goods. The results also suggest some increasing flexibility in the labor market, perhaps including informal sector arrangements, greater responsiveness of labor demand to the price of capital, and more international production sharing arrangements. An increasing elasticity over time of the demands for domestic capital and domestic intermediate goods with respect to the price of foreign substitutes was also observed. Since further economies of scale do not exist, maintaining the Italian textile industry’s reputation for outstanding quality will likely be an important survival strategy for some products. For others, production sharing may be necessary to maintain international competitiveness.     

Insourcing,Outsourcing, and Unemployment in the Spanish Auto Industry

This paper examines the role of outsourced intermediate goods, together with capital, labor, and insourced intermediate products, as inputs in Spain's motor vehicle production. Its findings are consistent with statistically significant economies of scale. Capital and labor are found to be substitutes, as are most of the other input pairs. However, capital and outsourced intermediate goods and labor and insourced intermediate goods appear to have complementary relationships, and the latter relationship has become stronger over the period of study. Any actions that decrease the price of one of the inputs in a complementary pair will increase the demand for the other input. Since labor and outsourced intermediate goods appear to be substitutes, a decrease in import prices as a result of further European integration will decrease the demand for domestic labor and exacerbate Spain's unemployment problem. A similar result holds for insourced and outsourced intermediate goods.     

要素生产率和要素配置作用下的中国城乡收入差距

根据城乡生产函数差异的特征事实构建了城乡收入差距模型,利用我国各省1997—2009年数据研究城乡劳动力比、固定资产比、人力资本比、农业中间品投入、工业化和第三产业规模对城乡收入差距的影响。结果显示,我国城乡要素生产率与城乡要素配置的差异对城乡收入差距具有决定性作用;城乡劳动力比的增长明显有助于缩小城乡收入差距,而城乡人力资本比、固定资本投入比、农业成本、以及相邻地区间的相关性都导致了城乡收入差距的扩大。缩小城乡差距的重要途径是加快农村劳动力的城市化、增加农村教育投入、提高农业生产率、增加农村的物质资本投入,各省缩小城乡收入差距的努力对邻近省份也会产生积极影响。     

Should Small Countries Fear Deindustrialization?

Will small countries deindustrialize when opening up to trade with large countries? Donald Davis (1998 ) shows that for the home market effect to lead to deindustrialization of small countries, trade costs for homogeneous goods must be sufficiently smaller than trade costs in differentiated goods, a condition which is not supported by empirical evidence. We show that if differentiated goods production uses tradable inputs small countries can become deindustrialized when trading with a sufficiently large country and if trade costs are low.     

Trade liberalization and the Mexican steel industry

The impact of the North American Free Trade Agreement (NAFTA) on the competitive positions of Mexican and U.S. steel producers is investigated employing a translog cost function with four inputs (capital, labor, domestic intermediate goods, and foreign intermediate goods) to examine scale characteristics and input substitution in Mexican steel production. Results are consistent with diseconomies of scale at high levels of output and with substitute relationships between all input pairs except labor and domestic intermediate goods. Thus, output growth will likely result in cost reductions for Mexican producers only if the industry reaps significant benefits from substitution of foreign inputs for domestic. Recent increases in Mexico's imports of finished steel have much exceeded those of steel industry inputs, and it therefore does not seem likely that a Mexican cost advantage over steel producers in the United States will soon emerge as a result of economies of scale.     

Physical productivity of new firms: it is not as high as it appears

This paper argues that the physical productivity of new firms is not as high as it is measured with conventional approaches. The overestimation is due to two reasons, both of which are related to the underestimation of production inputs of new firms. On the extensive margin, while conventional approaches implicitly assume the share of production costs in the total costs is the same for all firms, new firms spend a larger share of their costs on production. On the intensive margin, conventional approaches usually use capital stock as the proxy for capital input and tacitly assume a constant ratio between capital service and capital stock, whereas new firms tend to use their capital more intensively. Failure to incorporate the two facts leads to economically significant inflation in the measured physical productivity of new firms.     

Local Manufacturing Hurt by Depreciations in a Theoretical Model Reflecting the Australian Experience

The model is motivated by data showing that the Australian production of local manufactures is hurt by depreciations and invigorated by appreciations. The paper briefly presents such evidence and then proceeds to a theoretical analysis. The model aims to capture short‐to‐medium run exchange rate effects in an economy with goods and services aggregated into four commodities: (i) imports; (ii) local manufactures; (iii) services; and (iv) rural goods (agricultural, pastoral, forestry, fishing and mining products). With the exception of rural goods, each commodity comprises consumer goods as well as inputs into the other sectors. Rural goods enter consumption only indirectly after processing by the manufacturing sector. Exports are exclusively rural goods. The model has a Keynesian flavour in that the production of local manufactures and services is not constrained by the availability of resources and of labour. Variable inputs per unit of output are assumed to be constant. There are also fixed inputs. Variable inputs are imports in the case of the import sector; rural goods and imports in the case of the local manufacturing sector; and labour in the case of the services sector. The prices of imports, local manufactures and services are set by constant mark‐up factors on variable costs. This assumption is based on a picture of imperfect competition with constant elasticity of demand at the firm level. The extreme capital intensity of rural goods production is taken into account by modelling total production of rural goods as an exogenous parameter. The price of rural goods is determined in the export market. It falls with increasing exports. The economy is not assumed to be small in its export market. The domestic consumption demand schedule is modelled as predetermined in the sense that in the time span under consideration the relationship between quantities consumed and nominal prices is not affected by the exchange rate. The nominal wage rate is assumed to be predetermined in the same sense. No specific functional form is imposed on the consumption demand schedule: the analysis is based on general assumptions, mainly non‐inferiority and gross substitutability. In view of gross substitutability, there is a competitive relationship between imports and local manufactures. Adepreciation raises the price of imports and ceteris paribus such an increase raises the consumption of manufactures. However, the analysis shows that this enhancing influence of a depreciation on manufacturing is weaker than other causal channels that work in the opposite direction. An increase in the price of imports (and exportables) raises variable costs and thereby the price of local manufactures. This leads to a decrease in the output of local manufactures. In the course of the analysis, it is first shown that a uniquely determined equilibrium exists for every exchange rate above a lower bound. Then the effects of a change in the exchange rate are investigated. In most cases the results are unambiguous. In particular this is true for the output and the price of local manufactures. Other conclusions are that a depreciation increases exports and the amount of services provided. In some cases unequivocal results can be obtained only with the help of further assumptions. This concerns the domestic price of rural goods, the balance of trade in domestic prices and import penetration.     

The economics of poverty traps part one: Complete markets

This paper lists theoretical reasons why neoclassical models of one-sector growth imply that nations with identical economic structures need not converge to the same steady state or balanced growth path, and outlines the empirical significance and policy implications of conditional nonconvergence. We survey poverty traps in both convex and nonconvex economies with complete market structures. Among the potential causes of traps are subsistence consumption; distorted international trade in intermediate inputs; demographic transitions when fertility is endogenous; technological complementarities in the production of consumption goods, financial intermediation services, manufactures, or human capital; coordination failures among voters; various restrictions on borrowing; indivisibilities in human capital formation or child rearing; and monopolistic competition in product or factor markets.