Economic reform,informal–formal sector linkages and intervention in the informal sector in developing countries: A paradox

Within a general equilibrium framework of a developing economy with a foreign owned factor of production, this paper questions whether the informal–formal sector relationship is pro-cyclical/complementary – expansion or contraction in one necessarily implies an expansion or contraction in the other – when the informal sector is subject to a technological shock. We derive a necessary and sufficient condition under which a positive shock to the informal sector results in an emphcontraction in both the size of the urban formal sector and the informal sector. Thus, although our result shows that the informal–formal sector relationship is pro-cyclical, it nevertheless calls into question the conventional wisdom on the benefits of intervention in the informal sector of developing economies, particularly where multinational corporations sub-contract certain labor-intensive stages of production to the informal sector.     

Taxation In The Two‐Sector Neoclassical Growth Model With Sector‐Specific Externalities And Endogenous Labour Supply*

This paper examines the long‐run impacts of selective (or sector‐specific) commodity, payroll, and profit taxes in a two‐sector endogenous growth model with sector‐specific production externalities, in which one sector produces consumption goods and the other produces investment goods. The novelty of the model is that it allows not only for endogenous labour supply but also for the intersectoral allocation of resources, which may together lead to indeterminacy. We analytically show that the stability properties of the long‐run equilibrium critically affect the long‐run effects of these selective taxes, which may reverse the standard results of the growth effects of distortionary taxes.     

On Emissions Trading and Market Structure: Cap-and-Trade versus Intensity Standards

This paper examines the interdependence between imperfect competition and emissions trading. We particularly analyze the long run equilibrium in a two-sector (‘clean’ and ‘dirty’) model with Cournot competition among firms who face a fixed cost of production. The clean sector is defined as the sector with the highest long run cost margin on emissions. We compare the welfare implications of a cap-and-trade scheme with an emissions trading scheme based on relative intensity standards. It is shown that a firm’s long run equilibrium output in the clean or dirty sector does not depend on the emissions trading format, but only depends on the fixed cost of producing in the respective sector. Intensity standards can result in clean firms selling allowances to dirty firms, or dirty firms selling to clean firms. The former outcome yields higher welfare. It is demonstrated that cap-and-trade outperforms the intensity-based trading scheme in terms of long run welfare with free entry and exit. With intensity standards the size of the clean sector is too large.     

Optimal containment and policy differentiation under unilateral climate policy

Abstract Without a broad international agreement, climate policy is less effective, owing to carbon leakage. We investigate whether this negative effect can be addressed by partially containing the policy’s effects to intermediate goods sectors, such as electricity or transportation services. We use a three‐sector model to study a policy that taxes emissions caused by intermediate goods production while subsidizing the intermediate good. We characterize the optimal containment policy for combating carbon leakage and show that it complements the concept of policy differentiation.     

外部性与重工业优先发展

In the framework of a dynamic general equilibrium model, this paper studies how vertical externalities affect the development of heavy industry in a developing economy. The model is comprised of an intermediate and a consumer product sector. The production of both types of goods has pecuniary externalities as they are featured by increasing return to scale. However, the production of an intermediate product has an additional advantage to have externalities through its technological linkage with the production of consumer goods. This is related to the nature of the roundabout production of consumer goods: a larger number of intermediate products lead to higher productivity in the production of consumer goods than do more inputs of a fixed number of intermediate products. Therefore, private investment in the intermediate sector is below the social optimal level. Government subsidies can restore the economy to the social optimum, but they become less needed as the consumer sector grows larger and the advantage of the intermediate good sector diminishes. __________ Translated from Nankai Jingji Yanjiu 南开经济研究 (Nankai Economic Studies), 2007, (2): 3–19     

Entrepreneurs' capital accumulation behavior and long-run equilibrium

The purpose of this paper is to derive some interesting results on long-run equilibrium by considering entrepreneurs' capital accumulation behavior explicitly. Our framework is a two class, two production sector model in order to analyze the dynamic stability properties in the cases of Kaldor's saving assumption and Pasinetti's saving assumption. We shall introduce a further adjustment mechanism: the speeding up (slowing down) of capital accumulation in that sector in which the rate of profit is higher (lower).     

Resource Rights and Markets in a General Equilibrium Model of Production

Rights to a free resource lead to distributional deadweight losses in partial equilibrium. The present paper examines related distortions in a general equilibrium model of production with output prices constant for the small open economy. The free resource can result in lower output than a market with weak substitution in the other sector. The free resource also leads to a convex production frontier implying a price increase lowers output in the sector. Regarding policy, an import tariff, export subsidy, or price support would lower sector output. These general equilibrium distortions increase the incentives to favor resource markets over rights.     

A hybrid production structure in trade: theory and implications

In models of pure theory of international trade, no unique production structure is dominant. By grafting a specific factor structure onto a Heckscher–Ohlin framework, in a hybrid general equilibrium production model, this paper presents theoretical results with implications such as: (a) the relative price increase of a traded goods sector might have expansionary or contractionary output effect depending on factor intensities; (b) uniform primary-factor augmenting technical progress in the intermediate inputs sector might lead to a decline in the output of one of the sectors; (c) favorable relative price effect in one sector will lead to a drop in the return to the specific capital type depending on the grafted production structure. The proposed framework is useful for explaining stylized facts related to wage inequality, deindustrialization and export-processing, which have a great policy relevance for trade and development.     

On Terms of Trade and Capital Accumulation

This paper studies, within an OLG general equilibrium framework, the role of relative factor intensities in determining the relationship between the terms of trade and the capital stock. It shows that a diversified production equilibrium can be characterized by a positive association between these two variables if the investment sector is more labor-intensive and sector technologies are relatively dissimilar. Therefore, capital accumulation and terms-of-trade improvements do not require an import sector growing faster than the export sector when the latter is more capital-intensive. Large Stolper–Samuelson effects on factor incomes drive the results.     

Perfect versus imperfect direct advertising,and market performance

We present a model of economic growth driven by horizontal innovation in which, unlike the existing literature, the final output sector employs a non-specified, non-CES, additive production function. Our motivation in conducting such analysis is based on the recognition that the use of a CES aggregate production function in the final output sector leads to the unrealistic conclusion that the gross markup of price over marginal costs set in the monopolistically-competitive intermediate sector is constant. We derive necessary and sufficient conditions for an equilibrium with perfect competition in the final output market to exist even in the presence of a non-CES technology. These conditions generalize the usual properties of the CES case. We also analyze the long-run relation between economic growth and variable markups.     

Intersectoral Adjustment and Policy Intervention: the Importance of General‐Equilibrium Effects*

We model adjustment costs in a general‐equilibrium setting using a “transport sector.” This sector provides services needed to reallocate a factor of production across two other sectors. A market imperfection in the transport sector causes adjustment to occur too slowly in the absence of government intervention. The government has a restricted menu of second‐best policies to remedy this imperfection. Given this restricted menu, the optimal policy choice depends on the government's ability to make commitments. The key to these results is our replacement of the black box of adjustment costs with an explicit model of these costs.     

Job search and mobility in developing countries. Theory and policy implications

A labor market model is developed in which the formal sector is characterized by search frictions whereas the informal sector is competitive. We show that there exists a unique steady-state equilibrium in this dual economy. We then consider different policies financed by a tax on firms' profits. We find that reducing the unemployment benefit or the firms' entry cost in the formal sector induces higher job creation and formal employment, reduces the size of the informal sector but has an ambiguous effect on wages. We also find that an employment/wage subsidy policy and a hiring subsidy policy have different implications. In particular, the former increases the size of the informal sector while the latter decreases it.     

UNIQUENESS AND INDETERMINACY OF THE EQUILIBRIUM GROWTH PATH IN THE UZAWA‐LUCAS MODEL WITH SECTOR SPECIFIC EXTERNALITIES*

We introduce sector specific external effects of human capital on production in an otherwise Uzawa‐Lucas model of endogenous growth; and show that the problem of indeterminacy of the competitive equilibrium growth path does not exist even if the production function satisfies the increasing returns to scale at the social level.     

Existence of equilibrium in an overlapping-generations model with government debt

The Diamond overlapping generations (OLG) model with government debt has been widely utilized in economics, but the existence of the steady-state equilibrium is either assumed or illustrated numerically. This paper provides easily checkable conditions for the existence and uniqueness of steady-state equilibrium in this model. By checking the first derivatives of the production and utility functions and their interactions, we can determine whether the model has a nontrivial equilibrium or not. We show that the level of government debt, production technology, individual preference, and the growth rate are important for the existence of equilibrium. If government debt exceeds a certain level, equilibrium will not exist. Given technology, preference, and the growth rate, the upper-bounds of the government debt-output ratio in equilibrium can be determined based on our results.     

Investment Choice with Polluted Capital

This paper develops a two-sector overlapping generations model in which one sector produces an externality on the environmental quality and the other has no effect. We assume that environmental quality degradation results from production activity of one sector. Then, we characterise the dynamical system globally and establish sufficient conditions for the global uniqueness of a perfect-foresight equilibrium path in the case of a Cobb-Douglas production function and a CES utility function. We show that the existence and the stability of the steady state depend on substitution and income effect and on the degree of pollution.     

Perfect competition and optimal product differentiation

This paper considers whether a competitive economy will achieve an optimal allocation when firms produce differentiated products.In the model studied, firms market those products which maximize profit given the demand curves facing them. Markets are assumed to be open only for goods actually traded. Competitive conditions are achieved by replicating the consumer sector. It is shown that market equilibrium may be suboptimal if those products not being produced are highly complementary in consumption. Sufficient conditions on preferences and production sets for the market equilibrium to be optimal are given.     

Explaining local manufacturing growth in Chile: the advantages of sectoral diversity

This article investigates whether the agglomeration of economic activity in regional clusters affects long-run manufacturing Total Factor Productivity (TFP) growth in an emerging market context. We explore a large firm-level panel dataset for Chile during a period characterized by high growth rates and rising regional income inequality (1992–2004). Our findings are clear-cut. Locations with greater concentration of a particular sector have not experienced faster TFP growth during this period. Rather, local sector diversity was associated with higher long-run TFP growth. However, there is no evidence that the diversity effect was driven by the local interaction with a set of suppliers and/or clients. We interpret this as evidence that agglomeration economies are driven by other factors such as the sharing of access to specialized inputs not provided solely by a single sector, e.g. skills or financing.     

Say’s Law,Marxian Crisis Theory and the Interconnectedness of the Capitalist Economy

ABSTRACT

Scholars have long debated exactly why Marx felt that general gluts were not just possible, but inevitable. This article argues that Theories of Surplus Value anchored that necessity in the complex interconnectedness that characterizes capitalist production. There, Marx’s criticism of Say’s Law builds on a version of crisis theory that begins with raw material shortages in a leading sector. The disturbance is then transmitted through the many inter-industry linkages in the capitalist economy. What starts as a supply-side shock in a leading sector is transformed into a broad crisis of aggregate demand as workers are laid off and businesses fall into insolvency. This article argues that Marx’s later discussion of other types of crises in Capital can be read as consistent with this approach. A severe profit squeeze in a leading sector (whether originating in intermediate good prices, market demand, rising wages or rising use of fixed capital) necessarily turns into a general glut. In this context, Say’s Law becomes an irrelevant theorem concerning an imaginary economy. What Marx sees as fundamentally new under capitalism is not the use of money and the separation of sale and purchase, but massive interconnectedness.     

Informality,innovation, and aggregate productivity growth

This paper investigates how the costs of innovation in the formal sector temper or magnify the impacts of traditional policy levers such as taxation on sectoral choice. I embed a decision whether to operate formally or informally into a richer, general equilibrium model. Formal firms are subject to taxation, but they can improve their productivity through process innovation. Informal firms can potentially avoid taxation, and their productivity is determined by productivity growth in the formal sector. I find that changing tax rates from 50% to 60% decreases formal‐sector participation by 20.9%; however, this percentage falls by 10% when the cost of innovation is lower in the formal sector. The model also illustrates how changes in tax policy affect total factor productivity growth by limiting both the number of formal‐sector firms and the intensity of innovation. These results indicate a potential mechanism to induce firms to operate formally or mitigate harmful impacts of necessary tax changes.     

Learning-by-doing versus Schooling in a Model of Endogenous Growth

A two sector model of learning-by-doing measured by means of production aggregated over time and of human capital accumulation in a schooling sector is presented. Time utilization is rival between schooling and learning-by-doing. Depending on the sum of elasticities of the accumulated factors (i.e., of production experience and educational human capital) in both sectors, a situation with or without endogenous growth results. Dynamic optimization of the choice between leisure and working and of the division of human capital between education and production is executed. Transitional dynamics are analyzed for a Cobb-Douglas example and a numerical simulation is performed.JEL classification: C61, D90, O41.Acknowledgements The author would like to thank Eric C. Meyer and two anonymous referees for helpful comments. The usual caveats apply.revised version received November 23, 2003