Boucekkine

Publications

Capital Maintenance As A Key Development ToolJournal articleRaouf Boucekkine, Blanca Martínez et Cagri Saglam, Scottish Journal of Political Economy, Volume 57, Issue 5, pp. 547-567, 2010

No abstract is available for this item.

Towards an understanding of tradeoffs between regional wealth, tightness of a common environmental constraint and the sharing rulesJournal articleRaouf Boucekkine, Jacek B. Krawczyk et Thomas Vallée, Journal of Economic Dynamics and Control, Volume 34, Issue 9, pp. 1813-1835, 2010

Consider a country with two regions that have developed differently so that their current levels of energy efficiency differ. Each region's production involves the emission of pollutants, on which a regulator might impose restrictions. The restrictions can be related to pollution standards that the regulator perceives as binding the whole country (e.g., imposed by international agreements like the Kyoto Protocol). We observe that the pollution standards define a common constraint upon the joint strategy space of the regions. We propose a game theoretic model with a coupled constraints equilibrium as a solution to the regulator's problem of avoiding excessive pollution. The regulator can direct the regions to implement the solution by using political pressure, or compel them to employ it by using the coupled constraints' Lagrange multipliers as taxation coefficients. We specify a stylised model of the Belgian regions of Flanders and Wallonia that face a joint constraint, for which the regulator wants to develop a sharing rule. We analytically and numerically analyse the equilibrium regional production levels as a function of the pollution standards and of the sharing rules. We thus provide the regulator with an array of equilibria that he (or she) can select for implementation. For the computational results, we use NIRA, which is a piece of software designed to min-maximise the associated Nikaido-Isoda function.

Maintenance and investment: Complements or substitutes? A reappraisalJournal articleRaouf Boucekkine, Giorgio Fabbri et Fausto Gozzi, Journal of Economic Dynamics and Control, Volume 34, Issue 12, pp. 2420-2439, 2010

A benchmark AK optimal growth model with maintenance expenditures and endogenous utilization of capital is considered within an explicit vintage capital framework. Scrapping is endogenous, and the model allows for a clean distinction between age and usage dependent capital depreciation and obsolescence. It is also shown that in this set-up past investment profile completely determines the size of current maintenance expenditures. Among other findings, a closed-form solution to optimal dynamics is provided taking advantage of very recent development in optimal control of infinite dimensional systems. More importantly, and in contrast to the pre-existing literature, we study investment and maintenance co-movements without any postulated ad hoc depreciation function. In particular using impulse response experiments, we find that optimal investment and maintenance do move together in the short-run in response to neutral technological shocks, which seems to be more consistent with the data.

On explosive dynamics in RD-based models of endogenous growthJournal articleRaouf Boucekkine, Natali Hritonenko et Yuri Yatsenko, Nonlinear Analysis: Theory, Methods and Applications, Volume 71, pp. e693-e700, 2009
Bridging The Gap Between Growth Theory And The New Economic Geography: The Spatial Ramsey ModelJournal articleRaouf Boucekkine, Carmen Camacho et Benteng Zou, Macroeconomic Dynamics, Volume 13, Issue 01, pp. 20-45, 2009

We study a Ramsey problem in infinite and continuous time and space. The problem is discounted both temporally and spatially. Capital flows to locations with higher marginal return. We show that the problem amounts to optimal control of parabolic partial differential equations (PDEs). We rely on the existing related mathematical literature to derive the Pontryagin conditions. Using explicit representations of the solutions to the PDEs, we first show that the resulting dynamic system gives rise to an ill-posed problem in the sense of Hadamard (1923). We then turn to the spatial Ramsey problem with linear utility. The obtained properties are significantly different from those of the non-spatial linear Ramsey model due to the spatial dynamics induced by capital mobility.

The Burden Sharing of Pollution Abatement Costs in Multi-Regional Open EconomiesJournal articleRaouf Boucekkine et Marc Germain, The B.E. Journal of Macroeconomics, Volume 9, Issue 1, pp. 1-34, 2009

The burden sharing of pollution abatement costs raises the issue of how the costs are supported by entities (regions or industries) of a country that decides to reduce pollution, e.g., in the Kyoto Protocol context. This paper explores this issue in the framework of a dynamic endogenous growth 2 sectors - 2 regions - 2 inputs Heckscher-Ohlin model of a small open economy with an international tradable permits market. Given an "emission-based grand-fathering" sharing rule, capital accumulation is more negatively affected by the environmental policy in the energy intensive sector if energy and capital are complementary. But the picture could be different in terms of total sectoral revenue, depending on the evolution of prices. Finally, we show that the impact of environmental policy at the regional level depends crucially on the evolution of regional specialization patterns.

Technological progress, obsolescence, and depreciationJournal articleRaouf Boucekkine, Fernando del Rio et Blanca Martínez, Oxford Economic Papers, Volume 61, Issue 3, pp. 440-466, 2009

We construct a two-sector vintage capital model with neutral and investment-specific technical progress and variable utilization of each vintage. The lifetime of capital goods is endogenous and it relies on the associated maintenance costs. First, we show that the lifetime of capital is an increasing (resp. decreasing) function of the rate of neutral (resp. investment-specific) technical progress. Second, we show that both the use-related depreciation rate and the scrapping rate increase when investment-specific technical progress accelerates. However, the latter drops when neutral technical progress accelerates, while the former remains unaffected. It is also shown that (i) the economic depreciation rate depends on the decline rate of the quality-unadjusted relative price of investment and (ii) the age-related depreciation rate depends on the obsolescence rate. Copyright 2009 , Oxford University Press.

How do epidemics induce behavioral changes?Journal articleRaouf Boucekkine, Rodolphe Desbordes et Hélène Latzer, Journal of Economic Growth, Volume 14, Issue 3, pp. 233-264, 2009

This paper develops a theory of optimal fertility behavior under mortality shocks. In an OLG model, young adults determine their optimal fertility, labor supply and life-cycle consumption with both exogenous child and adult mortality risks. We show that a rise in adult mortality exerts an ambiguous effect on both net and total fertility in a general equilibrium framework, while child mortality shocks unambiguously lead to a rise in total fertility, leaving net fertility unchanged. We complement our theory with an empirical analysis using a sample of 39 Sub-Saharan (SSA) countries over the 1980-2004 period, examining the overall effects of the child and adult mortality channels on both total and net fertility. We find child mortality to exert a robust, positive impact on total fertility but no impact on net fertility, whereas a rise in adult mortality is found to negatively influence both total and net fertility, whereas a rise in adult mortality is found to negatively influence both total and net fertility. Given the particular demographic profile of the HIV/AIDS epidemic (killing essentially young, active adults), we then conclude in favor of an ambiguous negative effect of the HIV/AIDS epidemic on net fertility in SSA.

A closer look at the relationship between life expectancy and economic growthJournal articleRaouf Boucekkine, Théophile T. Azomahou et Bity Diene, International Journal of Economic Theory, Volume 5, Issue 2, pp. 201-244, 2009

We first provide a nonparametric inference of the relationship between life expectancy and economic growth on an historical data for 18 countries over the period 1820-2005. The obtained shape shows up convexity for low enough values of life expectancy and concavity for large enough values. We then study this relationship on a benchmark model combining “perpetual youth” and learning-by-investing. In such a benchmark, the generated relationship between life expectancy and economic growth is shown to be strictly increasing and concave. We finally examine a model departing from “perpetual youth” by assuming age-dependent survival probabilities. We show that life-cycle behavior combined with age-dependent survival laws can reproduce our empirical finding.

Overlapping-Generations ModelsJournal articleRaouf Boucekkine, Mathematical Population Studies, Volume 16, Issue 1, pp. 1-1, 2009

No abstract is available for this item.