Intertemporal Equity and Hartwick's Rule in an Exhaustible Resource Model*

In a standard exhaustible resource model, it is known that if, along a competitive path, investment in the augmentable capital good equals the rents on the exhaustible resource (known as Hartwick's rule), then the path is equitable in the sense that the consumption level is constant over time. In this paper, we show the converse of this result: if a competitive path is equitable, then it must satisfy Hartwick's rule.     

Population Growth and Natural‐Resource Scarcity: Long‐Run Development under Seemingly Unfavorable Conditions

In this paper, I consider an economy that is constrained by the use of natural resources and driven by knowledge accumulation. Resources are essential inputs in all sectors. I show that population growth and poor input substitution are not detrimental but, on the contrary, are even necessary to obtain a sustainable consumption level. I find a general rule to define the conditions for a constant innovation rate. The rule does not apply to capital but to labor growth, which is the crucial input in research. Furthermore, the rule relates to the sectoral structure of the economy, and to demographic transition. The results continue to hold with a backstop technology, and are extended for the case of minimum resource constraints.     

Characterizing the sustainability problem in an exhaustible resource model

We provide a general condition under which consumption can be sustained indefinitely bounded away from zero in the continuous time Dasgupta–Heal–Solow–Stiglitz model, by letting augmentable capital substitute for a non-renewable resource. The assumptions made on the production function are mild, thus generalizing previous work. By showing that Hartwick?s rule minimizes the required resource input per unit of capital accumulation, and integrating the required resource input with respect to capital, we obtain a complete technological characterization without reference to the time path. We also use the characterization result to establish general existence of a maximin path.     

With exhaustible resources, can a developing country escape from the poverty trap?

This paper studies the optimal growth of a developing non-renewable natural resource producer. It extracts the resource, and produces a single consumption good with man-made capital. Moreover, it can sell the extracted resource abroad and use the revenues to buy an imported good, perfect substitute of the domestic consumption good. The domestic technology is convex-concave, so that the economy may be locked into a poverty trap. We show that the extent to which the country will escape from the poverty trap depends on the interactions between its technology and its impatience, the characteristics of the resource revenue function, the level of its initial capital stock, and the abundance of the natural resource.     

Property rights and long-run capital

Proprietary capital falling into the public domain inefficiently decreases capital accumulation. As a consequence, the market steady state consumption underperforms the planner's by 4.6%–9.1% in a neoclassical infinitely-lived agents economy with constant returns to scale and standard empirically supported parameters. The results extend robustly to an overlapping generations economy, for which the gap is 10.5% when similarly parametrized. A policy decentralizing, in the latter, the planner's steady state instead consists of (i) subsidizing the rental rate of private capital at its depreciation rate, and (ii) taxing households' negative net position between, on the one hand, firm and depreciated capital ownership, and on the other, borrowing. Under this policy, the necessary tax rate on households' negative net position is smaller the bigger the absolute value of the latter and, hence, the bigger the corresponding monetary real balances held by households.     

Subsistence consumption and natural resource depletion: Can resource-rich low-income countries realize sustainable consumption paths?

This contribution is concerned with efficient use of a resource if households are characterized by Stone–Geary preferences with a minimum subsistence level of consumption. Subsistence consumption implies particular minimum requirements for initial endowments with reproducible man-made capital and resources. If these are not met, the economy is not able to cover subsistence consumption such as nutrition. Focusing on the steady state, we find that the equilibrium can be governed by zero or positive growth. The latter occurs if the rate of exogenous technical change exceeds the rate of time preference. In the former case, we can show that Hartwick’s investment rule applies in a steady state. Finally, we calibrate the model for developing but resource-rich countries and trace the full dynamic development of the economy. Furthermore, we evaluate this full adjustment process regarding several sustainability indicators.     

A step beside the maximin path: Can we sustain the economy by following Hartwick's investment rule?

If sustainability is interpreted as the requirement to sustain consumption or utility at an optimal level, a maximin objective appears to be relevant. The sustained economy is characterized by an optimal investment following Hartwick's investment rule. This paper examines how the sustainability of a production-consumption economy with a non-renewable resource is modified in the neighborhood of the maximin path, i.e. when the consumption and the resource price are not optimal. A Sustainable Consumption Indicator is introduced in order to characterize the sustainability of constant consumption paths, defined as deviations from the maximin path. We describe how an over-consumption jeopardizes future sustainability.     

Why do many resource-rich countries have negative genuine saving?: Anticipation of better times or rapacious rent seeking

We investigate the Hartwick rule for saving of a nation necessary to sustain a constant level of private consumption for a small open economy with an exhaustible stock of natural resources. The amount by which a country saves and invests less than the marginal resource rents equals the expected capital gains on reserves of natural resources plus the expected increase in interest income on net foreign assets plus the expected fall in the cost of resource extraction due to expected improvements in extraction technology. Effectively, depletion is then postponed until better times. This suggests that it is not necessarily sub-optimal for resource-rich countries to have negative genuine saving. However, in countries with different groups with imperfectly defined property rights on natural resources, political distortions induce faster resource depletion than suggested by the Hotelling rule. Fractionalised societies with imperfect property rights build up more foreign assets than their marginal resource rents, but in the long run accumulate less foreign assets than homogenous societies. Hence, such societies end up with lower sustainable consumption and are worse off, especially if seepage is strong, the number of rival groups is large and the country does not enjoy much monopoly power on the resource market. Genuine saving is zero in such societies. However, World Bank genuine saving figures based on market rather than accounting prices will be negative, albeit less so in more fractionalised societies with less secure property rights.     

Capital Accumulation and Resource Depletion: A Hartwick Rule Counterfactual

How much produced capital would resource-abundant countries have today if they had actually followed the Hartwick Rule (invest resource rents in other assets) over the last 30 years? We employ time series data on investment and rents on exhaustible resource extraction for 70 countries to answer this question. The results are striking: Venezuela, Trinidad and Tobago, and Gabon would all have as much produced capital as South Korea, while Nigeria would have five times its current level. A specific rule for sustainability – maintain positive constant genuine investment – is shown to lead to unbounded consumption.     

Property Rights, Renewable Resources and Economic Development

This paper analyzes the role of endogenous property rights in the development of an open resource-based economy. I incorporate renewable resources and endogenous decisions on property rights into a convex growth model with the formal and informal sectors. I find that along the transition path to steady state, property rights enforcement is not constant but improves with time as well as involves intermediate property rights specification (between open access and perfect property rights). International trade and labor market are driving these endogenous changes. Property rights improve with favorable terms of trade when the economy exports resource services and stronger property rights help maintain the resource stock by deterring illegal harvest. This pushes labor away from the informal harvest sector toward greater participation in the formal sector of the economy. In turn, more labor participation in the formal sector along with capital formation increase the country’s output and consumption. Overall, with an open economy and well-functioning institutions, renewable resources have a positive impact on economic growth.     

The Financial Resource Curse*

In this paper, we present a model of the financial resource curse (i.e., episodes of abundant access to foreign capital coupled with weak productivity growth). We study a two‐sector (i.e., tradable and non‐tradable) small open economy. The tradable sector is the engine of growth, and productivity growth is increasing with the amount of labor employed by firms in the tradable sector. A period of large capital inflows, triggered by a fall in the interest rate, is associated with a consumption boom. While the increase in tradable consumption is financed through foreign borrowing, the increase in non‐tradable consumption requires a shift of productive resources toward the non‐tradable sector at the expenses of the tradable sector. The result is stagnant productivity growth. We show that capital controls can be welfare‐enhancing and can be used as a second‐best policy tool to mitigate the misallocation of resources during an episode of financial resource curse.     

CONFORMISM AND STRUCTURAL CHANGE

Using a simple, multisector model of endogenous growth, we show that commodity‐specific consumption externalities can be a source of structural change. When the degrees of consumption externalities are different between goods, each sector grows at a different rate. However, the aggregate economy exhibits balanced growth in that capital stock and expenditure grow at the same constant rate. A three‐sector version of our model may reconcile Kaldor's stylized facts with empirically plausible profiles of industrial structure transformation.     

Dynamic Patterns of Trade Imbalances with Recursive Preference

Based on the recursive preference approach, the dynamic and global properties of the two‐country open economy are examined with one good and inputs of labor and capital, with capital being freely traded internationally. First, by showing that the world's consumption increases (decreases) with an increase (decrease) in the world's capital, the global stability of the economy is obtained. Secondly, the nonmonotonicity of consumption between impatient country 1 and patient country 2 is established. Thirdly, with the Cobb–Douglas‐type production function and country 1's technological superiority, the dynamic trade patterns and the asset–debt position are derived.     

The Perverse Effect of Debt Tax Benefits on Firm Investment Decisions

In this paper we question the idea that the deduction of debt interest is always an effective policy instrument to spur firm investment. We analyse the investment decision in presence of a borrowing constraint on the amount of debt that the firm can raise. We show that if the debt interest rate is decreasing in the firm's capital accumulation and another financial resource more expensive than debt is available (at least for levels of debt lower than the upper bound), then the deduction of the debt interest from taxes on capital income may reduce firm investment. This theoretical result is relevant for economic policy decisions when financial intermediaries are not willing to finance beyond a certain threshold but firms have access to other sources of finance.     

GROWTH AND BUBBLES WITH CONSUMPTION EXTERNALITIES*

This paper explores the role of consumption externalities in an overlapping generations economy with capital accumulation. If consumers in each generation are concerned with other agents’ consumption behaviours, there exist intergenerational as well as intragenerational consumption externalities. It is the presence of intergenreational consumption externalities that may produce fundamental effects both on equilibrium dynamics and on steady‐state characterization of the economy. This paper demonstrates this fact in the context of a simple model of endogenously growing, overlapping‐generations economy with or without asset bubbles.     

Renewable resource and capital with a joy-of-giving resource bequest motive

In this article we ask whether a privately owned natural renewable resource can be conserved and managed efficiently when households have a joy-of-giving resource bequest motive. We model an overlapping generations economy in which firms have access to a CES production technology combining the natural resource, physical capital and labor. Our results shed light on the interplay between the resource bequest motive and the substitutability/complementarity relationship between capital and the natural resource in the determination of the equilibrium propensity to use the resource. The mere existence of the bequest motive does not guarantee that the resource will be conserved in the long run. When the resource is highly substitutable with capital, the equilibrium actually never exhausts the resource stock whatever the intensity of the bequest motive. When the resource is a poor substitute for capital, the equilibrium preserves the resource only if the taste for bequeathing is strong enough. Be the economy in over-accumulation or in under-accumulation of the natural resource, it always increases aggregate consumption to run the stock of capital at a level lower than the efficiency level.     

The composition of capital inflows when emerging market firms face financing constraints

The composition of capital inflows to emerging market economies tends to follow a predictable dynamic pattern across the business cycle. In most emerging market economies, total inflows are pro-cyclical, with debt and portfolio equity flowing in first, followed later in the expansion by foreign direct investment (FDI). To understand the dynamic composition of these flows, we use a small open economy (SOE) framework to model the composition of capital inflows as the equilibrium outcome of emerging market firms' financing decisions. We show how costly external financing and FDI search costs generate a state contingent cost of financing such that the cheapest source of financing depends on the phase of the business cycle. In this manner, the financial frictions are able to explain the interaction between the types of flows and deliver a time-varying composition of flows, as well as other standard features of emerging market business cycles. If, as this work suggests, flows are an equilibrium outcome of firms' financing decisions, then volatility of capital inflows is not necessarily bad for an economy. Furthermore, using capital controls to shut down one type of flow and encourage another is certain to have both short- and long-run welfare implications.     

商圈内部零售企业知识资本积累的路径分析

知识经济时代,零售企业之间的竞争由“资源观”逐步转向“知识观”。商圈内部零售企业知识资本积累的路径,应为通过“区位品牌”效应扩大人力资本存量,通过个体知识组织化促进人力资本价值增值 通过组织结构创新与组织学习进行结构资本积累 通过“消费资本化”与客户参与服务创新进行客户资本的积累。零售企业知识资本积累也有利于商圈成长力的培养。     

Useful Government Spending and Macroeconomic (In)stability under Balanced-Budget Rules

It has been shown that an otherwise standard one‐sector real business cycle model may exhibit indeterminacy and sunspots under a balanced‐budget rule that consists of fixed and “wasteful” government spending and proportional income taxation. However, the economy always displays saddle‐path stability and equilibrium uniqueness if the government finances endogenous public expenditures with a constant income tax rate. In this paper, we allow for productive or utility‐generating government purchases in either of these specifications. It turns out that the previous indeterminacy results remain unchanged by the inclusion of useful government spending. By contrast, the earlier determinacy results are overturned when public expenditures generate sufficiently strong production or consumption externalities. Our analysis thus illustrates that a balanced‐budget policy recommendation which limits the government's ability to change tax rates does not necessarily stabilize the economy against belief‐driven business cycle fluctuations.     

Implementing Steady State Efficiency in Overlapping Generations Economies with Environmental Externalities

We consider in this paper overlapping generations economies with pollution resulting from both consumption and production. The competitive equilibrium steady state is compared to the optimal steady state from the social planner's viewpoint. We show that the dynamical inefficiency of a competitive equilibrium steady state with capital–labor ratio exceeding the golden rule ratio still holds. Moreover, the range of dynamically efficient steady state capital ratios increases with the effectiveness of the environment maintenance technology, and decreases for more polluting production technologies. We characterize some tax and transfer policies that decentralize as a competitive equilibrium outcome the transition to the social planner's steady state.