AMU - AMSE
5-9 Boulevard Maurice Bourdet, CS 50498
13205 Marseille Cedex 1
Boucekkine
Publications
We consider the optimal control of nonlinear integral equations with endogenous delay and state constraints, which describe a developing economy subjected to resource constraints. The economy invests in new resource-efficient technologies, invests in new capital, and scraps obsolete capital. We derive the optimality condition and determine long-term asymptotically exponential trajectories that optimally combine scrapping the dirtiest capital and developing new clean technologies. Next, we study the short-term dynamics of the model and show that it leads to a sustainable growth with active resource constraint.
The Ramsey model of economic growth is revisited from the perspective of viability theory. The Ramsey model, augmented with minimal consumption and sustainability criteria, becomes a viability problem. The framework allows for a clear picture of optimal viable, optimal non‐viable, and viable non‐optimal paths. The drastic sacrifices in terms of present consumption required by the implementation of Brundtland sustainability are visualized, the rich countries bearing the major part of the burden. The econometric analysis of viability sets enhances the role of technological progress in ensuring Brundtland sustainability. Preference parameters such as the pure time preference rate are statistically non‐significant. Le modèle de Ramsey de croissance économique est repris sous l'angle de la viabilité. Augmentée d'un critère de consommation minimale et d'un critère de soutenabilité, la croissance endogène devient un problème de viabilité. Les solutions comprennent les sentiers optimaux viables, les sentiers optimaux non viables, et les sentiers viables non‐optimaux. Les sacrifices en termes de consommation présente, nécessaires à la soutenabilité selon Brundtland, montrent que les pays riches doivent assumer la majeure partie du fardeau. L'analyse économétrique des volumes des ensembles de viabilité souligne le rôle du progrès technologique. Le taux pur de préférence temporelle s'avère statistiquement non significatif.
Contract theory qualifies legal origins theory by focusing on codified default rules, which ease the conclusion of enforceable contracts. We have selected 10 economically important codified contract types containing default rules and 8 countries particularly relevant as mother countries of legal origins, financial centers or newly industrialized economies (France, Germany, Japan, South Korea, Switzerland, Taiwan, the UK and the US). We exclude countries having received their laws as colonial “transplants” and countries in legal transformation. The economic impact of default rules is detectable by econometric analysis based on panel data inference over prolonged periods (1870-2008). Codified default rules favor economic performance, the higher their number the better. The results are controlled for time and country fixed effects, confirmed by counterfactual simulations and robust. We also test whether the presence of all ten contract types can compensate the absence of financial center advantage, and find that they do so in the civil law mother countries and the two newly industrialized countries of our sample. The Swiss case shows that the cumulation of default rule advantage and financial center advantage results in superior economic performance. While qualifying legal origins theory, our results strongly confirm institutional economics in its core of contract theory.
We consider a framework à la Wirl (1994) where political liberalization is the outcome of a lobbying differential game between a conservative elite and a reformist group, the former player pushing against political liberalization in opposition to the latter. In contrast to the benchmark model, we introduce uncertainty. We consider the typical case of an Arab oil exporter country where oil rents are fiercely controlled by the conservative elite. We assume that the higher the oil rents, the more reluctant to political liberalization the elite is. Two states of nature are considered (high vs low resource rents). We then compute the Market-perfect equilibria of the corresponding piecewise deterministic differential game. It is shown that introducing uncertainty in this manner increases the set of strategies compared to Wirl's original setting. In particular, it is shown that the cost of lobbying might be significantly increased under uncertainty with respect to the benchmark. This ultimately highlights some specificities of the political liberalization at stake in Arab countries and the associated risks.
Work significantly affects human life and health. Overworking may decrease the quality of life and cause direct economic losses. Technological innovations encourage modernization of firms' capital and improve labor productivity in the workplace. The paper investigates the optimal individual choice of work intensity under improving technology embodied in new equipment leading to shorter lifetime of capital goods (obsolescence). The balanced growth trajectories are analyzed in this context to find out, in particular, how the optimal choice of work intensity is tied to the rate of embodied technological change. The impact of embodied technological advances on the work/life balance problem is discussed and their macroeconomic consequences are highlighted.
We consider a small-open, collateral-constrained AK economy. We show that the combination of CARA preferences and uncertainty on capital inflows generates long-term growth while the deterministic counterpart does not: long-term growth is entirely driven by precautionary savings, and the asymptotic growth rate of the expected capital stock is increasing in both the risk magnitude and the Arrow–Pratt absolute risk aversion parameters.
We study optimal sustainable policies in a benchmark logistic world (where both population and technological progress follow logistic laws of motion) subject to a pollution ceiling. The main policy in the hands of the benevolent planner is pollution abatement, ultimately leading to the control of a dirtiness index as in the early literature of the limits to growth literature. Besides inclusion of demographic dynamics, we also hypothesize that population size affects negatively the natural regeneration or assimilation rate, as a side product of human activities (like increasing pollution, deforestation, ...). We first characterize optimal sustainable policies. Under certain conditions, the planner goes to the pollution ceiling value and stays on, involving a more stringent environmental policy and a sacrifice in terms of consumption per capita. Second, we study how the sustainable problem is altered when we depart from the logistic world by considering exponential technical progress (keeping population growth logistic). It's shown that, as expected, introducing such an asymmetry widens the margins of optimal policies as sustainable environmental policies are clearly less stringent under exponential technical progress. Third we connect our model to the data, using in particular UN population projections.
We study the compatibility of the optimal population size concepts produced by different social welfare functions and egalitarianism meant as "equal consumption for all individuals of all generations". Social welfare functions are parameterized by an altruism parameter generating the Benthamite and Millian criteria as polar cases. The economy considered is in continuous time and is populated by homogeneous cohorts with a given life span. Production functions are linear in labor, (costly) procreation is the unique way to transfer resources forward in time. First, we show that egalitarianism is optimal whatever the degree of altruism in "perpetual youth" model, that is when lifetime span is finite but age structure does not matter: in this case egalitarianism does not discriminate between the social welfare functions considered. Then we show that, when life span is finite but age structure matters, egalitarianism does not arise systematically as an optimal outcome. In particular, in a growing economy, that is when population growth is optimal in the long-run, this egalitarian rule can only hold when the welfare function is Benthamite. When altruism is impure, egalitarianism is impossible in the context of a growing economy. Either in the Benthamite or impure altruism cases, procreation is never optimal for small enough life spans, leading to finite time extinction and maximal consumption for all existing individuals.
This paper solves a second-best problem where a government has in particular to choose whether to tax financial inflows (capital con- trols) or not, and when. A multi-stage optimal control technique is used to this end. First, it is shown that it is optimal to switch in finite time from capital controls to full financial liberalization (zero tax on capital inflows) whenever a measure of total wealth is above a cer- tain threshold. In particular, a too large initial debt makes financial liberalization sub-optimal. Second, our analysis suggests that capital controls should be used countercyclically: booms should be responded by more financial liberalization while recessions should rather lead to more stringent capital controls. Third, when public expenditure is chosen in order to maximize social welfare, financial liberalization is not unaffordable only for poor countries, even wealthy countries might find it optimal to implement capital controls if they aim to keep a large amount of public expenditure. In short, the preservation of the welfare states might require a more frequent use of capital controls.
We consider an optimal technology adoption AK model in line with Boucekkine Krawczyk and Vallée (2011): an economy, caring about consumption and pollution as well, starts with a given technological regime and may decide to switch at any moment to a cleaner technology at a given permanent or transitory output cost. At the same time, we posit that there exists a pollution threshold above which the assimilation capacity of Nature goes down, featuring a kind of irreversible ecological regime. We study how ecological irreversibility interacts with the ingredients of the latter optimal technological switch problem, with a special attention to induced capital-pollution relationship. We find that if a single technological switch is optimal, one recovers the Environmental Kuznets Curve provided initial pollution is high enough. If exceeding the ecological threshold is optimal, then the latter configuration is far from being the rule.